Superpyth: Difference between revisions
m →Tuning spectrum: oopsie |
ArrowHead294 (talk | contribs) |
||
| Line 18: | Line 18: | ||
== Interval chains == | == Interval chains == | ||
The following tables show the intervals of {{frac|2|7}} septimal comma superpyth, where the fifth is approximately 709.745{{cent}}. Odd harmonics 1—11 are in '''bold'''. | |||
{| class="wikitable center-1 right-2" | {| class="wikitable center-1 right-2" | ||
| Line 24: | Line 24: | ||
|- | |- | ||
! # | ! # | ||
! Note (assuming 1/1 is C) | |||
! Cents* | ! Cents* | ||
! Approximate Ratios | ! Approximate Ratios | ||
| Line 32: | Line 33: | ||
|- | |- | ||
| 1 | | 1 | ||
| 709. | | 709.745 | ||
| '''3/2''' | | '''3/2''' | ||
|- | |- | ||
| 2 | | 2 | ||
| 219. | | 219.489 | ||
| '''8/7''', '''9/8''' | | '''8/7''', '''9/8''' | ||
|- | |- | ||
| 3 | | 3 | ||
| | | 929.234 | ||
| 12/7 | | 12/7 | ||
|- | |- | ||
| 4 | | 4 | ||
| 438. | | 438.979 | ||
| 9/7 | | 9/7 | ||
|- | |- | ||
| 5 | | 5 | ||
| 1148. | | 1148.724 | ||
| 27/14 | | 27/14 | ||
|- | |- | ||
| 6 | | 6 | ||
| | | 658.468 | ||
| 72/49, 81/56 | | 72/49, 81/56 | ||
|- | |- | ||
| 7 | | 7 | ||
| | | 168.213 | ||
| 54/49 | | 54/49 | ||
|} | |} | ||
{| class="wikitable center-1 right-2 right-4" | {| class="wikitable center-1 right-2 right-4" | ||
| Line 73: | Line 73: | ||
|- | |- | ||
| 1 | | 1 | ||
| | | 709.745 | ||
| '''3/2''' | | '''3/2''' | ||
|- | |- | ||
| 2 | | 2 | ||
| | | 219.489 | ||
| '''8/7''', '''9/8''' | | '''8/7''', '''9/8''' | ||
|- | |- | ||
| 3 | | 3 | ||
| | | 929.234 | ||
| 12/7 | | 12/7 | ||
|- | |- | ||
| 4 | | 4 | ||
| | | 438.979 | ||
| 9/7, 14/11 | | 9/7, 14/11 | ||
|- | |- | ||
| 5 | | 5 | ||
| | | 1148.724 | ||
| 21/11, 27/14, 64/33 | | 21/11, 27/14, 64/33 | ||
|- | |- | ||
| 6 | | 6 | ||
| | | 658.468 | ||
| '''16/11''' | | '''16/11''' | ||
|- | |- | ||
| 7 | | 7 | ||
| | | 168.213 | ||
| 12/11 | | 12/11 | ||
|} | |} | ||
{| class="wikitable center-1 right-2" | {| class="wikitable center-1 right-2" | ||
| Line 120: | Line 119: | ||
|- | |- | ||
| 1 | | 1 | ||
| 709. | | 709.745 | ||
| '''3/2''' | | '''3/2''' | ||
| | | | ||
| Line 126: | Line 125: | ||
|- | |- | ||
| 2 | | 2 | ||
| 219. | | 219.489 | ||
| '''8/7''', '''9/8''' | | '''8/7''', '''9/8''' | ||
| | | | ||
| Line 132: | Line 131: | ||
|- | |- | ||
| 3 | | 3 | ||
| | | 929.234 | ||
| 12/7 | | 12/7 | ||
| | | | ||
| Line 138: | Line 137: | ||
|- | |- | ||
| 4 | | 4 | ||
| 438. | | 438.979 | ||
| 9/7 | | 9/7 | ||
| | | | ||
| Line 144: | Line 143: | ||
|- | |- | ||
| 5 | | 5 | ||
| 1148. | | 1148.724 | ||
| 27/14, 35/18 | | 27/14, 35/18 | ||
| 88/45 | | 88/45 | ||
| Line 150: | Line 149: | ||
|- | |- | ||
| 6 | | 6 | ||
| | | 658.468 | ||
| 35/24, 40/27 | | 35/24, 40/27 | ||
| 22/15 | | 22/15 | ||
| Line 156: | Line 155: | ||
|- | |- | ||
| 7 | | 7 | ||
| | | 168.213 | ||
| 10/9 | | 10/9 | ||
| 11/10 | | 11/10 | ||
| Line 162: | Line 161: | ||
|- | |- | ||
| 8 | | 8 | ||
| | | 877.958 | ||
| 5/3 | | 5/3 | ||
| 33/20 | | 33/20 | ||
| Line 168: | Line 167: | ||
|- | |- | ||
| 9 | | 9 | ||
| | | 387.703 | ||
| '''5/4''' | | '''5/4''' | ||
| | | | ||
| Line 174: | Line 173: | ||
|- | |- | ||
| 10 | | 10 | ||
| | | 1097.447 | ||
| 15/8, 40/21 | | 15/8, 40/21 | ||
| | | | ||
| Line 180: | Line 179: | ||
|- | |- | ||
| 11 | | 11 | ||
| | | 607.192 | ||
| 10/7 | | 10/7 | ||
| | | | ||
| Line 186: | Line 185: | ||
|- | |- | ||
| 12 | | 12 | ||
| | | 116.937 | ||
| 15/14 | | 15/14 | ||
| | | | ||
| Line 192: | Line 191: | ||
|- | |- | ||
| 13 | | 13 | ||
| | | 826.682 | ||
| 45/28 | | 45/28 | ||
| 44/27 | | 44/27 | ||
| Line 198: | Line 197: | ||
|- | |- | ||
| 14 | | 14 | ||
| | | 336.426 | ||
| 60/49 | | 60/49 | ||
| 11/9 | | 11/9 | ||
| Line 204: | Line 203: | ||
|- | |- | ||
| 15 | | 15 | ||
| | | 1046.171 | ||
| 50/27 | | 50/27 | ||
| 11/6 | | 11/6 | ||
| Line 210: | Line 209: | ||
|- | |- | ||
| 16 | | 16 | ||
| | | 555.916 | ||
| 25/18 | | 25/18 | ||
| '''11/8''' | | '''11/8''' | ||
| Line 216: | Line 215: | ||
|- | |- | ||
| 17 | | 17 | ||
| | | 65.661 | ||
| 25/24 | | 25/24 | ||
| 22/21, 33/32 | | 22/21, 33/32 | ||
| 45/44 | | 45/44 | ||
|} | |} | ||
== Scales == | == Scales == | ||