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Equal-loudness contour

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423:. Even today, the best speakers are likely to generate around 1 to 3% of total harmonic distortion, corresponding to 30 to 40 dB below fundamental. This is not good enough, given the steep rise in loudness (rising to as much as 24 dB per octave) with frequency revealed by the equal-loudness curves below about 100 Hz. A good experimenter must ensure that trial subjects really hear the fundamental and not harmonics—especially the third harmonic, which is especially strong as a speaker cone's travel becomes limited as its suspension reaches the limit of compliance. A possible way around the problem is to use acoustic filtering, such as by resonant cavity, in the speaker setup. A flat free-field high-frequency response up to 20 kHz, on the other hand, is comparatively easy to achieve with modern speakers on-axis. These effects must be considered when comparing results of various attempts to measure equal-loudness contours. 3295: 412:
resonances. Headphone testing is, therefore, a good way to derive equal-loudness contours below about 500 Hz, though reservations have been expressed about the validity of headphone measurements when determining the actual threshold of hearing, based on the observation that closing off the ear canal produces increased sensitivity to the sound of blood flow within the ear, which the brain appears to mask in normal listening conditions. At high frequencies, headphone measurement becomes unreliable, and the various resonances of pinnae (outer ears) and ear canals are severely affected by proximity to the headphone cavity.
155:(1933). In their study, test subjects listened to pure tones at various frequencies and over 10 dB increments in stimulus intensity. For each frequency and intensity, the listener also listened to a reference tone at 1000 Hz. Fletcher and Munson adjusted the reference tone until the listener perceived that it had the same loudness as the test tone. Loudness, being a psychological quantity, is difficult to measure, so Fletcher and Munson averaged their results over many test subjects to derive reasonable averages. The lowest equal-loudness contour represents the quietest audible tone—the 443:. The high-frequency bands are wider in absolute terms than the low-frequency bands, and therefore "collect" proportionately more power from a noise source. However, when more than one critical band is stimulated, the signals to the brain add the various bands to produce the impressions of loudness. For these reasons equal-loudness curves derived using noise bands show an upwards tilt above 1 kHz and a downward tilt below 1 kHz when compared to the curves derived using pure tones. 22: 3582: 3195: 351: 242: 86:, that boosts low and high-frequency components of the sound. These are intended to offset the apparent loudness fall-off at those frequencies, especially at lower volume levels. Boosting these frequencies produces a flatter equal-loudness contour that appears to be louder even at low volume, preventing the perceived sound from being dominated by the mid-frequencies where the ear is most sensitive. 190:(ISO) to revise the standard curves in ISO 226. They did this in response to recommendations in a study coordinated by the Research Institute of Electrical Communication, Tohoku University, Japan. The study produced new curves by combining the results of several studies—by researchers in Japan, Germany, Denmark, UK, and the US. (Japan was the greatest contributor with about 40% of the data.) 95: 439:—is said to have been based on the 40-phon Fletcher–Munson curve. However, research in the 1960s demonstrated that determinations of equal-loudness made using pure tones are not directly relevant to our perception of noise. This is because the cochlea in our inner ear analyzes sounds in terms of spectral content, each "hair-cell" responding to a narrow band of frequencies known as a 193:
This has resulted in the recent acceptance of a new set of curves standardized as ISO 226:2003. The report comments on the surprisingly large differences, and the fact that the original Fletcher–Munson contours are in better agreement with recent results than the Robinson–Dadson, which appear to
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conducted listening trials in an attempt to find the best weighting curve and rectifier combination for use when measuring noise in broadcast equipment, examining the various new weighting curves in the context of noise rather than tones, confirming that they were much more valid than A-weighting
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Good headphones, well sealed to the ear, provide a flat low-frequency pressure response to the ear canal, with low distortion even at high intensities. At low frequencies, the ear is purely pressure-sensitive, and the cavity formed between headphones and ear is too small to introduce modifying
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to account for our reduced sensitivity to short bursts and clicks. It is widely used by Broadcasters and audio professionals when they measure noise on broadcast paths and audio equipment, so they can subjectively compare equipment types with different noise spectra and characteristics.
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Real-life sounds from a reasonably distant source arrive as planar wavefronts. If the source of sound is directly in front of the listener, then both ears receive equal intensity, but at frequencies above about 1 kHz the sound that enters the ear canal is partially reduced by the
311:(outer ear). Off-centre sounds result in increased head masking at one ear, and subtle changes in the effect of the pinna, especially at the other ear. This combined effect of head-masking and pinna reflection is quantified in a set of curves in three-dimensional space referred to as 52:
and is arrived at by reference to equal-loudness contours. By definition, two sine waves of differing frequencies are said to have equal-loudness level measured in phons if they are perceived as equally loud by the average young person without significant hearing impairment.
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produced a new experimental determination that they believed was more accurate. It became the basis for a standard (ISO 226) that was considered definitive until 2003, when ISO revised the standard on the basis of recent assessments by research groups worldwide.
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and a variety of other sounds that, because of their brief impulsive nature, do not give the ear and brain sufficient time to respond. The results were reported in BBC Research Report EL-17 1968/8 entitled
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According to the ISO report, the Robinson–Dadson results were the odd one out, differing more from the current standard than did the Fletcher–Munson curves. The report states that it is fortunate that the
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The first research on the topic of how the ear hears different frequencies at different levels was conducted by Fletcher and Munson in 1933. Until recently, it was common to see the term
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used to refer to equal-loudness contours generally, even though a re-determination was carried out by Robinson and Dadson in 1956, which became the basis for an ISO 226 standard.
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Churcher and King carried out a second determination in 1937, but their results and Fletcher and Munson's showed considerable discrepancies over parts of the auditory diagram.
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that is free from reflections down to 20 Hz. Until recently, it was not possible to achieve high levels at frequencies down to 20 Hz without high levels of
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Because no HRTF is involved in normal headphone listening, equal-loudness curves derived using headphones are valid only for the special case of what is called
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is now preferred, of which the Fletcher–Munson curves are now a sub-set, and especially since a 2003 survey by ISO redefined the curves in a new standard.
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With speakers, the opposite is true. A flat low-frequency response is hard to obtain—except in free space high above ground, or in a very large and
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when attempting to measure the subjective loudness of noise. This work also investigated the response of human hearing to tone-bursts, clicks,
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The report also comments on the large differences apparent in the low-frequency region, which remain unexplained. Possible explanations are:
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Subjects were not properly rested for days in advance, or were exposed to loud noise in traveling to the tests, which tensed the
68:. Fletcher–Munson curves have been superseded and incorporated into newer standards. The definitive curves are those defined in 3081: 1271: 1443: 3150: 2951: 2474: 1857: 1448: 1418: 64:
and Wilden A. Munson, and reported in a 1933 paper entitled "Loudness, its definition, measurement and calculation" in the
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to a maximum of around 20,000 Hz, although the upper hearing limit decreases with age. Within this range, the
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differ by as much as 10–15 dB, especially in the low-frequency region, for reasons not explained.
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noise reduction, which were characterized by a noise spectrum dominated by the higher frequencies.
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are one of many sets of equal-loudness contours for the human ear, determined experimentally by
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when presented with pure steady tones. The unit of measurement for loudness levels is the
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Fletcher, H. and Munson, W. A. "Loudness, its definition, measurement and calculation",
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Full Revision of International Standards for Equal-Loudness Level Contours (ISO 226)
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The criteria used for judging equal loudness at different frequencies had differed.
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standard was based turns out to have been in agreement with modern determinations.
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Precise and Full-range Determination of Two-dimensional Equal Loudness Contours
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Perceived discrepancies between early and more recent determinations led the
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headphones, though it doesn't make clear how Robinson–Dadson achieved
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Test your hearing – A tool for measuring your equal-loudness contours
565: 534: 137: 129: 79: 41: 685:"Fletcher Munson Curve: The Equal Loudness Contour of Human Hearing" 493:
recommendation 468, but later adopted by numerous standards bodies (
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A Model of Loudness Applicable to Time-Varying Sounds AESJ Article
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Recent revision aimed at more precise determination – ISO 226:2023
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Fletcher and Munson first measured equal-loudness contours using
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auditory system is sensitive to frequencies from about 20 
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Frequency characteristics of hearing and perceived volume
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were derived in the 1960s, in particular as part of the
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often feature a "loudness" button, known technically as
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Evaluation of Loudness-level weightings and LLSEL JASA
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Ken’ichiro Masaoka, Kazuho Ono, and Setsu Komiyama,
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spectrum, for which a listener perceives a constant
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The Assessment of Noise in Audio Frequency Circuits
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Moore, Elsevier Press. 710: 708: 706: 631: 399:Learn how and when to remove this message 290:Learn how and when to remove this message 89: 20: 325:The Robinson–Dadson determination used 3599: 703: 322:, which is not how we normally hear. 136:, largely due to the resonance of the 3213: 884: 341:Headphones versus loudspeaker testing 783:"Researches in loudness measurement" 377:adding citations to reliable sources 344: 268:adding citations to reliable sources 235: 789:, Vol. 14:3 (Sep 1966), pp.141–151. 202:Fletcher–Munson curve on which the 13: 132:is most sensitive between 2 and 5 93: 14: 3638: 834: 806:, Vol. 22 (2001), No. 1 pp.35–39. 804:Acoustical Science and Technology 3581: 3580: 3293: 3194: 3193: 349: 240: 232:Side versus frontal presentation 821:Audio Engineer's Reference Book 313:head-related transfer functions 792: 775: 754: 734: 677: 664: 599: 540:CCIR (ITU) 468 Noise Weighting 489:curve, originally proposed in 1: 3239: 813: 161:. The highest contour is the 158:absolute threshold of hearing 562:, the same concept in vision 435:curve—in widespread use for 7: 517: 10: 3643: 116:Experimental determination 3576: 3528: 3457: 3354: 3312: 3288: 3247: 3189: 3113: 2839: 1991: 940: 922: 751:(1956), pp. 166–181. 550:ITU-R 468 noise weighting 530:Audio quality measurement 487:ITU-R 468 noise weighting 456:audio quality measurement 592: 3257:Architectural acoustics 781:Bauer, B., Torick, E., 740:D. W. Robinson et al., 110:equal-loudness contours 3344:Fletcher–Munson curves 3339:Equal-loudness contour 3249:Acoustical engineering 760:YĂ´iti Suzuki, et al., 576:Robinson–Dadson curves 98: 90:Fletcher–Munson curves 58:Fletcher–Munson curves 34:equal-loudness contour 29: 3480:Hermann von Helmholtz 3378:Fundamental frequency 3282:Sympathetic resonance 730:on September 27, 2007 97: 84:loudness compensation 24: 571:Pure tone audiometry 462:tape recorders with 373:improve this section 264:improve this section 38:sound pressure level 3500:Werner Meyer-Eppler 3410:Missing fundamental 624:2004ASAJ..116..918S 560:Luminosity function 511:quasi-peak detector 421:harmonic distortion 175:Robinson and Dadson 148:of the middle ear. 3383:Frequency spectrum 916:by standard number 768:2007-09-27 at the 746:Br. J. Appl. Phys. 691:. 16 November 2017 454:4550 standard for 99: 30: 3612:Audio engineering 3594: 3593: 3556:Musical acoustics 3388:harmonic spectrum 3207: 3206: 930:ISO romanizations 674:5, 82–108 (1933). 633:10.1121/1.1763601 581:Sound level meter 437:noise measurement 409: 408: 401: 320:side-presentation 300: 299: 292: 225:stapedius muscles 164:threshold of pain 142:transfer function 108:The generic term 3634: 3584: 3583: 3485:Carleen Hutchins 3417:Combination tone 3304: 3297: 3277:String vibration 3234: 3227: 3220: 3211: 3210: 3197: 3196: 917: 905: 898: 891: 882: 881: 807: 796: 790: 779: 773: 758: 752: 738: 732: 731: 729: 723:, archived from 722: 712: 701: 700: 698: 696: 681: 675: 668: 662: 661: 635: 603: 586:Weighting filter 555:Listener fatigue 460:compact cassette 448:weighting curves 417:anechoic chamber 404: 397: 393: 390: 384: 353: 345: 295: 288: 284: 281: 275: 244: 236: 36:is a measure of 3642: 3641: 3637: 3636: 3635: 3633: 3632: 3631: 3607:Psychoacoustics 3597: 3596: 3595: 3590: 3572: 3524: 3515:D. 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3425: 3423: 3420: 3418: 3415: 3411: 3408: 3406: 3405:Inharmonicity 3403: 3401: 3398: 3397: 3396: 3393: 3389: 3386: 3385: 3384: 3381: 3379: 3376: 3374: 3371: 3369: 3366: 3365: 3363: 3361: 3357: 3353: 3345: 3342: 3341: 3340: 3337: 3333: 3330: 3328: 3325: 3324: 3323: 3320: 3319: 3317: 3315: 3311: 3303: 3299: 3296: 3292: 3291: 3283: 3280: 3278: 3275: 3273: 3272:Soundproofing 3270: 3268: 3267:Reverberation 3265: 3263: 3260: 3258: 3255: 3254: 3252: 3250: 3246: 3242: 3235: 3230: 3228: 3223: 3221: 3216: 3215: 3212: 3200: 3192: 3191: 3188: 3182: 3179: 3177: 3174: 3172: 3169: 3167: 3164: 3162: 3159: 3157: 3154: 3152: 3149: 3147: 3144: 3142: 3139: 3137: 3134: 3132: 3129: 3127: 3124: 3122: 3119: 3118: 3116: 3112: 3106: 3103: 3101: 3098: 3096: 3093: 3090: 3088: 3085: 3083: 3080: 3078: 3075: 3073: 3070: 3068: 3065: 3063: 3060: 3058: 3055: 3053: 3050: 3048: 3045: 3043: 3040: 3038: 3035: 3033: 3030: 3028: 3025: 3023: 3020: 3018: 3015: 3013: 3010: 3008: 3005: 3003: 3000: 2998: 2995: 2993: 2990: 2988: 2985: 2983: 2980: 2978: 2975: 2973: 2970: 2968: 2965: 2963: 2960: 2958: 2955: 2953: 2950: 2948: 2945: 2943: 2940: 2938: 2935: 2933: 2930: 2928: 2925: 2923: 2920: 2918: 2915: 2913: 2910: 2908: 2905: 2903: 2900: 2898: 2895: 2893: 2890: 2888: 2885: 2883: 2880: 2878: 2875: 2873: 2870: 2868: 2865: 2863: 2860: 2858: 2855: 2853: 2850: 2848: 2845: 2844: 2842: 2838: 2832: 2829: 2827: 2824: 2822: 2819: 2817: 2814: 2812: 2809: 2807: 2804: 2802: 2799: 2797: 2794: 2792: 2789: 2787: 2784: 2782: 2779: 2777: 2774: 2772: 2769: 2767: 2764: 2762: 2759: 2757: 2754: 2752: 2749: 2747: 2744: 2742: 2739: 2737: 2734: 2732: 2729: 2727: 2724: 2722: 2719: 2715: 2712: 2710: 2707: 2706: 2705: 2702: 2700: 2697: 2695: 2692: 2690: 2687: 2685: 2682: 2680: 2677: 2675: 2672: 2670: 2667: 2665: 2662: 2660: 2657: 2655: 2652: 2650: 2647: 2645: 2642: 2640: 2637: 2635: 2632: 2630: 2627: 2625: 2622: 2620: 2617: 2615: 2612: 2610: 2607: 2605: 2602: 2600: 2597: 2595: 2592: 2590: 2587: 2585: 2582: 2580: 2577: 2575: 2572: 2570: 2567: 2565: 2562: 2560: 2557: 2555: 2552: 2550: 2547: 2543: 2540: 2539: 2538: 2535: 2533: 2530: 2528: 2525: 2523: 2520: 2518: 2515: 2513: 2510: 2508: 2505: 2501: 2498: 2496: 2493: 2492: 2491: 2488: 2486: 2483: 2481: 2478: 2476: 2473: 2471: 2468: 2466: 2463: 2461: 2458: 2456: 2453: 2451: 2448: 2446: 2443: 2441: 2438: 2436: 2433: 2431: 2428: 2426: 2423: 2421: 2418: 2414: 2411: 2409: 2406: 2404: 2401: 2399: 2396: 2394: 2391: 2389: 2386: 2384: 2381: 2379: 2376: 2374: 2371: 2370: 2369: 2366: 2364: 2361: 2359: 2356: 2354: 2351: 2349: 2346: 2344: 2341: 2339: 2336: 2334: 2331: 2329: 2326: 2324: 2321: 2319: 2316: 2314: 2311: 2309: 2306: 2304: 2301: 2299: 2296: 2294: 2291: 2289: 2286: 2284: 2281: 2279: 2276: 2274: 2271: 2267: 2264: 2262: 2259: 2258: 2257: 2254: 2252: 2249: 2247: 2244: 2242: 2239: 2237: 2234: 2232: 2229: 2227: 2224: 2222: 2219: 2217: 2214: 2212: 2209: 2206: 2202: 2199: 2197: 2194: 2192: 2189: 2187: 2184: 2182: 2179: 2177: 2174: 2172: 2169: 2167: 2164: 2162: 2159: 2157: 2154: 2152: 2149: 2147: 2144: 2142: 2139: 2137: 2134: 2132: 2129: 2127: 2124: 2122: 2119: 2117: 2114: 2112: 2109: 2107: 2104: 2102: 2099: 2097: 2094: 2092: 2089: 2087: 2084: 2080: 2077: 2075: 2072: 2070: 2067: 2065: 2062: 2060: 2057: 2056: 2055: 2052: 2050: 2047: 2045: 2042: 2040: 2037: 2035: 2032: 2030: 2027: 2025: 2022: 2020: 2017: 2015: 2012: 2010: 2007: 2005: 2002: 2000: 1997: 1996: 1994: 1990: 1984: 1981: 1979: 1976: 1974: 1971: 1969: 1966: 1964: 1961: 1959: 1956: 1954: 1951: 1949: 1946: 1944: 1941: 1939: 1936: 1934: 1931: 1929: 1926: 1924: 1921: 1919: 1916: 1914: 1911: 1909: 1906: 1904: 1901: 1899: 1896: 1894: 1891: 1889: 1886: 1884: 1881: 1879: 1876: 1874: 1871: 1869: 1866: 1864: 1861: 1859: 1856: 1852: 1849: 1847: 1844: 1842: 1839: 1837: 1834: 1832: 1829: 1827: 1824: 1822: 1819: 1817: 1814: 1812: 1809: 1807: 1804: 1802: 1799: 1797: 1794: 1792: 1789: 1787: 1784: 1782: 1779: 1777: 1774: 1772: 1769: 1768: 1767: 1764: 1762: 1759: 1757: 1754: 1752: 1749: 1747: 1744: 1742: 1739: 1737: 1734: 1732: 1729: 1727: 1724: 1722: 1719: 1717: 1714: 1712: 1709: 1707: 1704: 1702: 1699: 1697: 1694: 1692: 1689: 1687: 1684: 1682: 1679: 1677: 1674: 1672: 1669: 1667: 1664: 1662: 1659: 1657: 1654: 1652: 1649: 1647: 1644: 1642: 1639: 1635: 1632: 1631: 1630: 1627: 1625: 1622: 1620: 1617: 1615: 1612: 1610: 1607: 1605: 1602: 1600: 1597: 1595: 1592: 1590: 1587: 1585: 1582: 1580: 1577: 1575: 1572: 1570: 1567: 1565: 1562: 1560: 1557: 1555: 1552: 1550: 1547: 1545: 1542: 1540: 1537: 1535: 1532: 1530: 1527: 1525: 1522: 1520: 1517: 1515: 1512: 1510: 1507: 1505: 1502: 1500: 1497: 1495: 1492: 1490: 1487: 1485: 1482: 1480: 1477: 1475: 1472: 1470: 1467: 1465: 1462: 1460: 1457: 1455: 1452: 1450: 1447: 1445: 1442: 1440: 1437: 1435: 1432: 1430: 1427: 1425: 1422: 1420: 1417: 1413: 1410: 1408: 1405: 1403: 1400: 1399: 1398: 1395: 1393: 1390: 1388: 1385: 1383: 1380: 1378: 1375: 1373: 1370: 1368: 1365: 1363: 1360: 1358: 1355: 1353: 1350: 1348: 1345: 1343: 1340: 1338: 1335: 1333: 1330: 1328: 1325: 1323: 1320: 1318: 1315: 1313: 1310: 1308: 1305: 1303: 1300: 1298: 1295: 1293: 1290: 1288: 1285: 1283: 1280: 1278: 1275: 1273: 1270: 1268: 1265: 1263: 1260: 1258: 1255: 1253: 1250: 1248: 1245: 1243: 1240: 1238: 1235: 1233: 1230: 1228: 1225: 1223: 1220: 1218: 1215: 1213: 1210: 1208: 1205: 1203: 1200: 1198: 1195: 1193: 1190: 1188: 1185: 1183: 1180: 1178: 1175: 1171: 1168: 1166: 1163: 1161: 1158: 1156: 1153: 1151: 1148: 1147: 1146: 1143: 1141: 1138: 1136: 1133: 1131: 1128: 1126: 1123: 1121: 1118: 1116: 1113: 1111: 1108: 1106: 1103: 1101: 1098: 1096: 1093: 1091: 1088: 1086: 1083: 1081: 1078: 1076: 1073: 1071: 1068: 1066: 1063: 1059: 1056: 1054: 1051: 1049: 1046: 1044: 1041: 1039: 1036: 1034: 1031: 1029: 1026: 1024: 1021: 1019: 1016: 1014: 1011: 1009: 1006: 1004: 1001: 999: 996: 995: 994: 991: 989: 986: 984: 981: 979: 976: 974: 971: 969: 966: 964: 961: 959: 956: 954: 951: 949: 946: 945: 943: 939: 935: 934:IEC standards 931: 927: 926:ISO standards 921: 913: 906: 901: 899: 894: 892: 887: 886: 883: 877: 874: 872: 869: 867: 864: 862: 859: 857: 854: 852: 849: 847: 844: 842: 839: 838: 828: 825: 822: 819: 818: 805: 801: 795: 788: 784: 778: 771: 767: 763: 757: 750: 747: 743: 737: 726: 719: 718: 711: 709: 707: 690: 686: 680: 673: 667: 659: 655: 651: 647: 643: 639: 634: 629: 625: 621: 617: 613: 609: 602: 598: 587: 584: 582: 579: 577: 574: 572: 569: 567: 564: 561: 558: 556: 553: 551: 548: 546: 543: 541: 538: 536: 533: 531: 528: 526: 523: 522: 515: 512: 508: 504: 500: 496: 492: 488: 483: 481: 476: 471: 467: 465: 461: 457: 453: 449: 444: 442: 441:critical band 438: 434: 424: 422: 418: 413: 403: 400: 392: 382: 378: 374: 368: 367: 363: 358:This section 356: 352: 347: 346: 338: 336: 332: 328: 323: 321: 316: 314: 310: 306: 294: 291: 283: 280:December 2020 273: 269: 265: 259: 258: 254: 249:This section 247: 243: 238: 237: 226: 222: 218: 215: 212: 211: 210: 207: 205: 201: 195: 191: 189: 179: 176: 171: 168: 166: 165: 160: 159: 154: 149: 147: 143: 139: 135: 131: 127: 123: 113: 111: 106: 104: 96: 87: 85: 81: 77: 75: 71: 67: 63: 59: 54: 51: 47: 43: 39: 35: 27: 23: 19: 3520:Thomas Young 3470:Jens Blauert 3458:Acousticians 3338: 3052:27000 series 1084: 841:ISO Standard 826: 820: 803: 794: 786: 777: 756: 748: 745: 736: 725:the original 717:ISO 226:2003 716: 695:November 17, 693:. Retrieved 688: 679: 671: 666: 615: 611: 601: 484: 479: 470:BBC Research 468: 445: 430: 414: 410: 395: 389:October 2015 386: 371:Please help 359: 335:compensation 334: 330: 327:loudspeakers 324: 319: 317: 301: 286: 277: 262:Please help 250: 208: 196: 192: 185: 172: 169: 162: 156: 150: 119: 109: 107: 102: 100: 78: 69: 65: 57: 55: 33: 31: 18: 3490:Franz Melde 3465:John Backus 3449:Subharmonic 3302:Spectrogram 2840:20000–29999 1992:10000–19999 689:Ledger Note 525:A-weighting 433:A-weighting 331:compensated 305:head shadow 204:A-weighting 40:, over the 3601:Categories 3551:Ultrasound 3541:Infrasound 3327:Bark scale 2619:16949 (TS) 2216:11941 (TR) 914:standards 814:References 475:pink noise 153:headphones 80:Amplifiers 3627:Acoustics 3432:Resonance 3332:Mel scale 3262:Monochord 3241:Acoustics 2574:15926 WIP 1938:9592/9593 1863:9000/9001 1751:8805/8806 642:0001-4966 566:Mel scale 535:Audiogram 360:does not 251:does not 138:ear canal 130:human ear 72:from the 42:frequency 3586:Category 3427:Overtone 3395:Harmonic 3199:Category 924:List of 766:Archived 658:15865914 650:15376658 518:See also 446:Various 173:In 1956 146:ossicles 140:and the 46:loudness 3373:Formant 3100:29199-2 2972:23094-2 2967:23094-1 2957:23090-3 2826:19794-5 2821:19775-1 2609:16612-2 2599:16355-1 2288:13406-2 2246:12234-2 2014:10118-3 620:Bibcode 381:removed 366:sources 272:removed 257:sources 144:of the 70:ISO 226 3566:Violin 3400:Series 3114:30000+ 1953:9797-1 1761:8820-5 1706:8501-1 1262:1073-2 1257:1073-1 941:1–9999 656:  648:  640:  3622:Sound 3561:Piano 3546:Sound 3360:pitch 3322:Pitch 3181:80000 3176:56000 3171:55000 3166:50001 3161:45001 3156:42010 3151:40500 3146:39075 3141:38500 3136:37001 3131:32000 3126:31000 3121:30170 3105:29500 3095:29148 3091:29110 3087:28000 3082:27729 3077:27006 3072:27005 3067:27002 3062:27001 3057:27000 3047:26324 3042:26300 3037:26262 3032:26000 3027:25964 3022:25178 3017:24728 3012:24707 3007:24617 3002:24613 2997:24517 2992:23941 2987:23360 2982:23271 2977:23270 2962:23092 2952:23009 2947:23008 2942:23003 2937:23000 2932:22537 2927:22395 2922:22301 2917:22300 2912:22275 2907:22000 2902:21827 2897:21500 2892:21122 2887:21047 2882:21001 2877:21000 2872:20830 2867:20802 2862:20400 2857:20121 2852:20022 2847:20000 2831:19831 2816:19770 2811:19757 2806:19752 2801:19600 2796:19510 2791:19509 2786:19508 2781:19507 2776:19506 2771:19505 2766:19503 2761:19502 2756:19501 2751:19500 2746:19439 2741:19407 2736:19136 2731:19125 2726:19115 2721:19114 2704:19092 2699:19011 2694:19005 2689:18916 2684:18629 2679:18245 2674:18181 2669:18014 2664:18004 2659:17799 2654:17506 2649:17442 2644:17369 2639:17203 2634:17100 2629:17025 2624:17024 2614:16750 2604:16485 2594:16262 2589:16023 2584:15938 2579:15930 2569:15926 2564:15924 2559:15919 2554:15897 2549:15707 2537:15706 2532:15693 2527:15686 2522:15511 2517:15504 2512:15438 2507:15445 2490:15444 2485:15408 2480:15398 2475:15291 2470:15288 2465:15189 2460:15022 2455:14971 2450:14882 2445:14764 2440:14698 2435:14651 2430:14649 2425:14644 2420:14617 2368:14496 2363:14443 2358:14396 2353:14289 2348:14224 2343:14031 2338:14000 2333:13818 2328:13816 2323:13616 2318:13584 2313:13568 2308:13567 2303:13490 2298:13485 2293:13450 2283:13399 2278:13250 2273:13216 2256:13211 2251:12620 2241:12207 2236:12182 2231:12052 2226:12006 2221:11992 2211:11941 2201:11940 2196:11898 2191:11889 2186:11801 2181:11785 2176:11784 2171:11783 2166:11544 2161:11404 2156:11179 2151:11172 2146:11170 2141:11073 2136:10967 2131:10962 2126:10957 2121:10861 2116:10746 2111:10664 2106:10646 2101:10628 2096:10589 2091:10585 2086:10383 2054:10303 2049:10279 2044:10218 2039:10206 2034:10179 2029:10165 2024:10161 2019:10160 2009:10116 2004:10007 1999:10006 728:(PDF) 721:(PDF) 654:S2CID 593:Notes 545:dB(A) 464:Dolby 309:pinna 122:human 3536:Echo 3442:Node 3368:Beat 3358:and 2079:-238 1983:9995 1978:9985 1973:9984 1968:9945 1963:9899 1958:9897 1948:9660 1943:9594 1933:9564 1928:9529 1923:9506 1918:9496 1913:9407 1908:9362 1903:9314 1898:9293 1893:9241 1888:9227 1883:9141 1878:9126 1873:9075 1868:9036 1858:8879 1811:-8-I 1766:8859 1756:8807 1746:8691 1741:8652 1736:8651 1731:8632 1726:8613 1721:8601 1716:8583 1711:8571 1701:8373 1696:8217 1691:8178 1686:8093 1681:8000 1676:7942 1671:7816 1666:7813 1661:7812 1656:7811 1651:7810 1646:7736 1641:7637 1629:7498 1624:7200 1619:7185 1614:7098 1609:7064 1604:7027 1599:7010 1594:7002 1589:7001 1584:6943 1579:6709 1574:6523 1569:6438 1564:6429 1559:6425 1554:6385 1549:6373 1544:6346 1539:6344 1534:6166 1529:5964 1524:5807 1519:5800 1514:5776 1509:5775 1504:5725 1499:5428 1494:5427 1489:5426 1484:5218 1479:4909 1474:4217 1469:4165 1464:4157 1459:4031 1454:3977 1449:3950 1444:3901 1439:3864 1434:3602 1429:3601 1424:3307 1419:3297 1397:3166 1392:3103 1387:3029 1382:2921 1377:2852 1372:2848 1367:2788 1362:2720 1357:2711 1352:2709 1347:2533 1342:2281 1337:2240 1332:2146 1327:2145 1322:2108 1317:2047 1312:2033 1307:2022 1302:2015 1297:2014 1292:1989 1287:1745 1282:1629 1277:1538 1272:1413 1267:1155 1252:1007 1247:1004 1242:1000 1065:68-1 697:2017 646:PMID 638:ISSN 491:CCIR 485:The 431:The 364:any 362:cite 255:any 253:cite 223:and 200:phon 120:The 56:The 50:phon 2413:-20 2408:-17 2403:-14 2398:-12 2393:-11 2388:-10 2074:-28 2069:-22 2064:-21 2059:-11 1851:-16 1846:-15 1841:-14 1836:-13 1831:-12 1826:-11 1821:-10 1237:999 1232:965 1227:898 1222:860 1217:843 1212:838 1207:764 1202:732 1197:704 1192:690 1187:668 1182:657 1177:646 1145:639 1140:519 1135:518 1130:500 1125:361 1120:306 1115:302 1110:262 1105:261 1100:259 1095:233 1090:228 1085:226 1080:217 1075:216 1070:128 1058:-13 1053:-12 1048:-11 1043:-10 912:ISO 628:doi 616:116 507:ITU 503:JIS 499:BSI 495:IEC 452:DIN 375:by 266:by 198:40- 134:kHz 32:An 26:ISO 3603:: 2714:-2 2709:-1 2542:-2 2500:-9 2495:-3 2383:-6 2378:-3 2373:-2 2266:-2 2261:-1 2205:-2 1816:-9 1806:-8 1801:-7 1796:-6 1791:-5 1786:-4 1781:-3 1776:-2 1771:-1 1634:-1 1412:-3 1407:-2 1402:-1 1170:-6 1165:-5 1160:-3 1155:-2 1150:-1 1038:-9 1033:-8 1028:-7 1023:-6 1018:-5 1013:-4 1008:-3 1003:-1 998:-0 993:31 988:17 983:16 932:– 928:– 802:, 785:, 764:. 744:, 705:^ 687:. 652:. 644:. 636:. 626:. 614:. 610:. 505:, 501:, 497:, 482:. 337:. 167:. 126:Hz 3233:e 3226:t 3219:v 2207:) 2203:( 978:9 973:7 968:6 963:4 958:3 953:2 948:1 904:e 897:t 890:v 772:. 749:7 699:. 660:. 630:: 622:: 402:) 396:( 391:) 387:( 383:. 369:. 293:) 287:( 282:) 278:( 274:. 260:.

Index

Equal-loudness contours from ISO 226:2003 shown with original ISO standard.
ISO
sound pressure level
frequency
loudness
phon
Harvey Fletcher
International Organization for Standardization
Amplifiers
loudness compensation

human
Hz
human ear
kHz
ear canal
transfer function
ossicles
headphones
absolute threshold of hearing
threshold of pain
Robinson and Dadson
International Organization for Standardization
phon
A-weighting
tensor tympani
stapedius muscles

cite
sources

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