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English: A comparison of some just intonation frequency ratios (including 101:100 just for good measure) versus 72-tone equal temperament (72ET). Of particular note is that justly-tuned 5-limit minor and major thirds are much better approximated by 19/72 and 23/72, where 12ET would put these at 18/72 and 24/72. Additionally, since the 11th harmonic is almost perfectly halfway between the tri-tone and perfect fourth of 12ET, and the 7th harmonic approximately one-third of a semitone flatter than an equally-tempered minor seventh, 72ET simultaneously provides good approximations of the 7th and 11th harmonics.
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Author DASL51984

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4 March 2023

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Date/TimeThumbnailDimensionsUserComment
current01:58, 21 June 2024Thumbnail for version as of 01:58, 21 June 2024500 × 3,720 (42 KB)DASL51984Remove unneeded <defs>
06:38, 10 June 2024Thumbnail for version as of 06:38, 10 June 2024500 × 3,720 (42 KB)DASL51984Broken lines fixed
02:08, 9 June 2024Thumbnail for version as of 02:08, 9 June 2024500 × 3,720 (42 KB)DASL51984Centre image and increase width to 500px
04:52, 7 June 2024Thumbnail for version as of 04:52, 7 June 2024465 × 3,720 (42 KB)DASL51984Normalise line lengths to 0 entropy
12:19, 2 June 2024Thumbnail for version as of 12:19, 2 June 2024465 × 3,720 (42 KB)DASL51984Fix line lengths based on harmonic entropy
00:58, 20 January 2024Thumbnail for version as of 00:58, 20 January 2024465 × 3,720 (43 KB)DASL51984Fix colours and make coordinates more accurate
18:36, 2 August 2023Thumbnail for version as of 18:36, 2 August 2023465 × 3,720 (42 KB)DASL51984Remove extraneous tags
17:01, 29 May 2023Thumbnail for version as of 17:01, 29 May 2023465 × 3,720 (48 KB)DASL51984Re-align
16:00, 8 May 2023Thumbnail for version as of 16:00, 8 May 2023480 × 3,720 (47 KB)DASL51984Add 7/6 and 12/7
03:21, 4 April 2023Thumbnail for version as of 03:21, 4 April 2023480 × 3,720 (48 KB)DASL51984Remove duplicate entry
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