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English: Just intonation intervals approximated by 43 equal divisions of the octave.

19-EDO (⅓-comma meantone) has pure minor thirds but its major thirds and perfect fifths are both flat by about the same amount.

31-EDO (¼-comma meantone) has pure major thirds but its minor thirds and perfect fifths are both flat by about the same amount.

43-EDO (⅕-comma meantone) has slightly sharp major thirds and slightly flat perfect fifths, off from just intonation by approximately the same amount. Compared to 19 and 31, 43 is more of a compromise tuning as it balances out the offset between major thirds and perfect fifths. Its fifteenth harmonic, however, is only one-tenth of a cent sharper than in 15/8, and in my opinion this gives for very nice-sounding major seventh chords.
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Author DASL51984

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1 July 2023

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Date/TimeThumbnailDimensionsUserComment
current04:07, 26 April 2024Thumbnail for version as of 04:07, 26 April 2024465 × 2,270 (44 KB)DASL51984Fix 12/11
04:07, 30 March 2024Thumbnail for version as of 04:07, 30 March 2024465 × 2,270 (44 KB)DASL51984Remove pi and e as they don't have much acoustic significance
19:57, 24 March 2024Thumbnail for version as of 19:57, 24 March 2024465 × 2,270 (44 KB)DASL51984Add 25th harmonic
19:39, 14 February 2024Thumbnail for version as of 19:39, 14 February 2024465 × 2,270 (43 KB)DASL51984Add π and 𝑒
18:40, 14 February 2024Thumbnail for version as of 18:40, 14 February 2024465 × 2,270 (42 KB)DASL51984Add 135/128
04:03, 20 January 2024Thumbnail for version as of 04:03, 20 January 2024465 × 2,270 (42 KB)DASL51984Add light grey lines to indicate where 12ed2 sits
01:56, 17 January 2024Thumbnail for version as of 01:56, 17 January 2024465 × 2,270 (41 KB)DASL51984Add more intervals
18:15, 29 December 2023Thumbnail for version as of 18:15, 29 December 2023465 × 2,270 (38 KB)DASL51984Add 11/7
05:13, 26 December 2023Thumbnail for version as of 05:13, 26 December 2023465 × 2,270 (37 KB)DASL51984Update coordinates, add new intervals
21:35, 25 December 2023Thumbnail for version as of 21:35, 25 December 2023465 × 2,270 (31 KB)DASL51984Add in 25/24 and 15/14
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