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7-Limit Intervals
7-limit, 81-odd-limit intervals.
| Interval Class | Wa Intervals | Yo/Gu Intervals | Zo/Ru Intervals | Ruyo/Zogu Intervals | Yoyo/Gugu Intervals | Zozo/Ruru Intervals | Zoyo/Rugu Intervals | Biruyo/Bizogu Intervals | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Traditional Name | Fifth steps | Ratio | Cent | Ratio | Cent | Ratio | Cent | Ratio | Cent | Ratio | Cent | Ratio | Cent | Ratio | Cent | Ratio | Cent |
| Negative diminshed 2nd | +12 | 50/49 | 34.976 | ||||||||||||||
| Perfect 1sn | 0 | 1/1 | 0 | 81/80 | 21.506 | 64/63 | 27.264 | 36/35 | 48.770 | ||||||||
| Augmented 1sn | +7 | 15/14 | 119.443 | 25/24 | 70.672 | 54/49 | 168.213 | ||||||||||
| Minor 2nd | -5 | 16/15 | 111.731 | 28/27 | 62.961 | 21/20 | 84.467 | 27/25 | 133.238 | 49/48 | 35.697 | ||||||
| Major 2nd | +2 | 9/8 | 203.910 | 10/9 | 182.404 | 8/7 | 231.174 | 81/70 | 252.680 | ||||||||
| Augmented 2nd | +9 | 75/64 | 274.582 | ||||||||||||||
| Minor 3rd | -3 | 32/27 | 294.135 | 6/5 | 315.641 | 7/6 | 266.871 | ||||||||||
| Major 3rd | +4 | 81/64 | 407.820 | 5/4 | 386.313 | 9/7 | 435.084 | 80/63 | 413.578 | 64/49 | 462.348 | ||||||
| Diminished 4th | -8 | 56/45 | 378.602 | 32/25 | 427.373 | ||||||||||||
| Perfect 4th | -1 | 4/3 | 498.045 | 27/20 | 519.551 | 21/16 | 470.781 | 35/27 | 449.275 | ||||||||
| Augmented 4th | +6 | 45/32 | 590.224 | 81/56 | 638.994 | 10/7 | 617.488 | ||||||||||
| Diminshed 5th | -6 | 64/45 | 609.776 | 112/81 | 561.006 | 7/5 | 582.512 | ||||||||||
| Perfect 5th | +1 | 3/2 | 701.955 | 40/27 | 680.449 | 32/21 | 729.219 | 54/35 | 750.725 | ||||||||
| Augmented 5th | +8 | 45/28 | 821.398 | 25/16 | 772.627 | ||||||||||||
| Minor 6th | -4 | 128/81 | 792.180 | 8/5 | 813.687 | 14/9 | 764.916 | 63/40 | 786.422 | 49/32 | 737.652 | ||||||
| Major 6th | +3 | 27/16 | 905.865 | 5/3 | 884.339 | 12/7 | 933.129 | ||||||||||
| Diminished 7th | -9 | 128/75 | 925.418 | ||||||||||||||
| Minor 7th | -2 | 16/9 | 996.090 | 9/5 | 1017.596 | 7/4 | 968.826 | 140/81 | 947.320 | ||||||||
| Major 7th | +5 | 15/8 | 1088.269 | 27/14 | 1131.039 | 40/21 | 1115.533 | 50/27 | 1066.762 | 96/49 | 1164.303 | ||||||
| Diminished 8ve | -7 | 28/15 | 1080.557 | 48/25 | 1129.328 | 49/27 | 1031.787 | ||||||||||
| Perfect 8ve | 0 | 2/1 | 1200 | 160/81 | 1178.494 | 63/32 | 1172.736 | 35/18 | 1151.230 | ||||||||
| Diminished 9th | -12 | 49/25 | 1165.028 | ||||||||||||||