User:Moremajorthanmajor/15edX: Difference between revisions
No edit summary |
No edit summary |
||
| Line 408: | Line 408: | ||
!Golden±13¢ | !Golden±13¢ | ||
! width="4%" | Max | ! width="4%" | Max | ||
! | !Min | ||
!Golden±13¢ | !Golden±13¢ | ||
! | !Max | ||
|- | |- | ||
| |1 | | |1 | ||
| Line 425: | Line 425: | ||
| colspan="2" |110.345 | | colspan="2" |110.345 | ||
|109.6375-111.371 | |109.6375-111.371 | ||
|112 | |||
|- | |- | ||
| |2 | | |2 | ||
| Line 438: | Line 438: | ||
| colspan="2" |215.172 | | colspan="2" |215.172 | ||
|216.849-220.316 | |216.849-220.316 | ||
|220.69 | |||
|219.275-222.742 | |219.275-222.742 | ||
| |224 | | colspan="2" |224 | ||
|- | |- | ||
| |3 | | |3 | ||
| Line 456: | Line 456: | ||
| colspan="2" |331.034 | | colspan="2" |331.034 | ||
|328.913-334.113 | |328.913-334.113 | ||
|336 | |||
|- | |- | ||
| |4 | | |4 | ||
| Line 472: | Line 472: | ||
| colspan="2" |441.379 | | colspan="2" |441.379 | ||
|438.55-445.4835 | |438.55-445.4835 | ||
|448 | |||
|- | |- | ||
| |5 | | |5 | ||
| Line 488: | Line 488: | ||
| colspan="2" |551.724 | | colspan="2" |551.724 | ||
|548.188-556.854 | |548.188-556.854 | ||
|560 | |||
|- | |- | ||
| |6 | | |6 | ||
| Line 504: | Line 504: | ||
| colspan="2" |662.069 | | colspan="2" |662.069 | ||
|657.825-668.225 | |657.825-668.225 | ||
|672 | |||
|- | |- | ||
| |7 | | |7 | ||
| Line 520: | Line 520: | ||
| colspan="2" |772.414 | | colspan="2" |772.414 | ||
|767.463-779.596 | |767.463-779.596 | ||
|784 | |||
|- | |- | ||
|8 | |8 | ||
| Line 649: | Line 649: | ||
|} | |} | ||
By a surprising coincidence, the 15ed of the Pyrite tenth (7φ+6)\(5φ^2)edo is almost exactly every third degree of [[34edo]]. Additionally, those of the modal Golden and Pyrite tenths are almost exactly +1/28-syntonic comma 4ed(5/4) (Intense Aeolian-Dorian), 9ed(5/3)/equal multiples of 18/17 (Subpental Dorian), 13ed(15/7) (Pental Dorian), 2ed(9/8) (Superpental Dorian), -1/12-syntonic comma 3ed(6/5) (Dorian-Mixolydian), 14ed(7/3)/equal multiples of 17/16/100π\3 cents (Subpental Mixolydian), 3ed(6/5) (Pental Mixolydian), -1/20-septimal comma 4ed(9/7)/-1/28-syntonic comma 14ed(12/5)/9ed(7/4) (Soft Superpental Mixolydian), 12ed(32/15) (Intense Superpental Mixolydian) and 8ed(5/3)/-1/9 schismic 9ed(16/9)/14ed(22/9) (Mixolydian-Ionian) respectively. | By a surprising coincidence, the 15ed of the Pyrite tenth (7φ+6)\(5φ^2)edo is almost exactly every third degree of [[34edo]]. Additionally, those of the modal Golden and Pyrite tenths are almost exactly +1/28-syntonic comma 4ed(5/4) (Intense Aeolian-Subpental Dorian), 9ed(5/3)/equal multiples of 18/17 (Subpental Dorian), 13ed(15/7) (Pental Dorian), 2ed(9/8) (Superpental Dorian), -1/12-syntonic comma 3ed(6/5) (Dorian-Mixolydian), 14ed(7/3)/equal multiples of 17/16/100π\3 cents (Subpental Mixolydian), 3ed(6/5) (Pental Mixolydian), -1/20-septimal comma 4ed(9/7)/-1/28-syntonic comma 14ed(12/5)/9ed(7/4) (Soft Superpental Mixolydian), 12ed(32/15) (Intense Superpental Mixolydian) and 8ed(5/3)/-1/9 schismic 9ed(16/9)/14ed(22/9) (Mixolydian-Ionian) respectively. | ||
[[Category:15-tone]] | [[Category:15-tone]] | ||
[[Category:ed7/3]] | [[Category:ed7/3]] | ||