37ed8: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
37ed8 is an equal tuning that divides the 8/1 ratio (triple-octave, octuple, | 37ed8 is an equal tuning that divides the 8/1 ratio (triple-octave, octuple, twenty-second) into 37 equal steps of approximately 97.297 cents. It stands out as a 8.9.10.14.22.26.17/2.19/2 subgroup tuning. This is an another approach for [[97.5cET]]. | ||
{{harmonics in equal|37|8|columns=14}} | {{harmonics in equal|37|8|columns=14}} | ||
== Intervals == | == Intervals == | ||
| Line 9: | Line 9: | ||
|- | |- | ||
| 1 || 97.297 | | 1 || 97.297 | ||
| 17/16, 18/17, 19/18, 20/19 | | 17/16, 18/17, 19/18, 20/19, 52/49, 55/42 | ||
|- | |- | ||
| 2 || 194.595 | | 2 || 194.595 | ||
| 9/8, 10/9, 19/17 | | 9/8, 10/9, 19/17, 28/25, 49/44, 55/49 | ||
|- | |- | ||
| 3 || 291.892 | | 3 || 291.892 | ||
| 13/11, 19/16, 20/17 | | 13/11, 19/16, 20/17, 45/38, 85/72, 77/65 | ||
|- | |- | ||
| 4 || 389.189 | | 4 || 389.189 | ||
| Line 24: | Line 24: | ||
|- | |- | ||
| 6 || 583.784 | | 6 || 583.784 | ||
| 7/5 | | 7/5, 25/18, 45/32 | ||
|- | |- | ||
| 7 || 681.081 | | 7 || 681.081 | ||
| 28/19 | | 28/19, 25/17 | ||
|- | |- | ||
| 8 || 778.378 | | 8 || 778.378 | ||
|11/7, 14/9, 25/16 | | 11/7, 14/9, 25/16 | ||
|- | |- | ||
| 9 || 875.676 | | 9 || 875.676 | ||
| Line 36: | Line 36: | ||
|- | |- | ||
| 10 || 972.973 | | 10 || 972.973 | ||
| 7/4 | | 7/4, 44/25 | ||
|- | |- | ||
| 11 || 1070.270 | | 11 || 1070.270 | ||
| 13/7 | | 13/7, 35/19 | ||
|- | |- | ||
| 12 || 1167.568 | | 12 || 1167.568 | ||
| 49/25, 35/18 | | 49/25, 35/18, 55/28 | ||
|- | |- | ||
| 13 || 1264.865 | | 13 || 1264.865 | ||
| Line 48: | Line 48: | ||
|- | |- | ||
| 14 || 1362.162 | | 14 || 1362.162 | ||
| 11/5 | | 11/5, 35/16 | ||
|- | |- | ||
| 15 || 1459.459 | | 15 || 1459.459 | ||
| Line 54: | Line 54: | ||
|- | |- | ||
| 16 || 1556.757 | | 16 || 1556.757 | ||
| 22/9, 49/20 | | 22/9, 49/20, 32/13 | ||
|- | |- | ||
| 17 || 1654.054 | | 17 || 1654.054 | ||
| 44/17, 49/19, 13/5 | | 44/17, 49/19, 13/5, 34/13 | ||
|- | |- | ||
| 18 || 1751.351 | | 18 || 1751.351 | ||
| 11/4, 49/18, 52/19 | | 11/4, 36/13, 49/18, 52/19 | ||
|- | |- | ||
| 19 || 1848.649 | | 19 || 1848.649 | ||
| 49/17 | | 26/9, 32/11, 38/13, 49/17, 55/19 | ||
|- | |- | ||
| 20 || 1945.946 | | 20 || 1945.946 | ||
| 49/16, 52/17, 55/18 | | 34/11, 40/13, 49/16, 52/17, 55/18, 77/25 | ||
|- | |- | ||
| 21 || 2043.243 | | 21 || 2043.243 | ||
| 13/4, 55/17 | | 13/4, 36/11, 55/17 | ||
|- | |- | ||
| 22 || 2140.541 | | 22 || 2140.541 | ||
| 55/16, 65/19 | | 38/11, 55/16, 65/19 | ||
|- | |- | ||
| 23 || 2237.838 | | 23 || 2237.838 | ||
| 65/18 | | 40/11, 65/18, 91/25 | ||
|- | |- | ||
| 24 || 2335.135 | | 24 || 2335.135 | ||
| 65/17, 77/20 | | 65/17, 77/20, 50/13 | ||
|- | |- | ||
| 25 || 2432.432 | | 25 || 2432.432 | ||
| Line 84: | Line 84: | ||
|- | |- | ||
| 26 || 2529.730 | | 26 || 2529.730 | ||
| 77/18 | | 56/13, 77/18 | ||
|- | |- | ||
| 27 || 2627.027 | | 27 || 2627.027 | ||
| 32/7, 77/17 | | 32/7, 77/17, 50/11, 91/20 | ||
|- | |- | ||
| 28 || 2724.324 | | 28 || 2724.324 | ||
| 34/7, 77/16 | | 34/7, 77/16, 91/19 | ||
|- | |- | ||
| 29 || 2821.622 | | 29 || 2821.622 | ||
| 36/7, 56/11 | | 36/7, 56/11, 91/18 | ||
|- | |- | ||
| 30 || 2918.919 | | 30 || 2918.919 | ||
| Line 111: | Line 111: | ||
|- | |- | ||
| 35 || 3405.405 | | 35 || 3405.405 | ||
| 36/5, 64/9 | | 36/5, 64/9, 50/7 | ||
|- | |- | ||
| 36 || 3502.703 | | 36 || 3502.703 | ||