61ed7: Difference between revisions
Created page with "'''Division of the 7th harmonic into 61 equal parts''' (61ed7) is related to the alphaquarter temperament, which tempers out 3025/3024, 400..." Tags: Mobile edit Mobile web edit |
m Removing from Category:Edonoi using Cat-a-lot |
||
| (6 intermediate revisions by 6 users not shown) | |||
| Line 1: | Line 1: | ||
'''[[Ed7|Division of the 7th harmonic]] into 61 equal parts''' (61ed7) is related to the [[ | {{Infobox ET}} | ||
'''[[Ed7|Division of the 7th harmonic]] into 61 equal parts''' (61ed7) is related to the [[Escapade family#Alphaquarter|alphaquarter temperament]], which tempers out 3025/3024, 4000/3993, and 5120/5103 in the 11-limit; 325/324, 364/363, 1001/1000, and 4096/4095 in the 13-limit. The step size is about 55.2267 cents, corresponding to 21.7286 [[edo]]. | |||
{| class="wikitable" | == Intervals == | ||
{| class="wikitable mw-collapsible" | |||
|+ Intervals of 61ed7 | |||
|- | |- | ||
! | degree | ! | degree | ||
| Line 35: | Line 38: | ||
| | 5 | | | 5 | ||
| | 276.1333 | | | 276.1333 | ||
| | | | | 88/75 | ||
| | | | | | ||
|- | |- | ||
| | 6 | | | 6 | ||
| | 331.3599 | | | 331.3599 | ||
| | | | | 40/33 | ||
| | | | | | ||
|- | |- | ||
| Line 50: | Line 53: | ||
| | 8 | | | 8 | ||
| | 441.8132 | | | 441.8132 | ||
| | | | | (49/38) | ||
| | | | | | ||
|- | |- | ||
| Line 65: | Line 68: | ||
| | 11 | | | 11 | ||
| | 607.4932 | | | 607.4932 | ||
| | 91/64, [[64/45]] | | | (91/64), [[64/45]] | ||
| | | | | | ||
|- | |- | ||
| Line 75: | Line 78: | ||
| | 13 | | | 13 | ||
| | 717.9465 | | | 717.9465 | ||
| | | | | 50/33 | ||
| | | | | | ||
|- | |- | ||
| Line 140: | Line 143: | ||
| | 26 | | | 26 | ||
| | 1435.8930 | | | 1435.8930 | ||
| | | | | 55/24 | ||
| | | | | | ||
|- | |- | ||
| Line 155: | Line 158: | ||
| | 29 | | | 29 | ||
| | 1601.5730 | | | 1601.5730 | ||
| | | | | [[63/50|63/25]] | ||
| | | | | | ||
|- | |- | ||
| Line 210: | Line 213: | ||
| | 40 | | | 40 | ||
| | 2209.0662 | | | 2209.0662 | ||
| | [[34/19|68/19]] | | | ([[34/19|68/19]]) | ||
| | | | | | ||
|- | |- | ||
| | 41 | | | 41 | ||
| | 2264.2928 | | | 2264.2928 | ||
| | | | 100/27 | ||
| | | | | | ||
|- | |- | ||
| Line 230: | Line 233: | ||
| | 44 | | | 44 | ||
| | 2429.9728 | | | 2429.9728 | ||
| | 57/14, [[56/55|224/55]], | | | (57/14), [[56/55|224/55]], 110/27 | ||
| | | | | | ||
|- | |- | ||
| Line 260: | Line 263: | ||
| | 50 | | | 50 | ||
| | 2761.3327 | | | 2761.3327 | ||
| | [[16/13|64/13]] | | | ([[16/13|64/13]]) | ||
| | | | | | ||
|- | |- | ||
| Line 275: | Line 278: | ||
| | 53 | | | 53 | ||
| | 2927.0127 | | | 2927.0127 | ||
| | [[19/14|38/7]] | | | ([[19/14|38/7]]) | ||
| | | | | | ||
|- | |- | ||
| Line 295: | Line 298: | ||
| | 57 | | | 57 | ||
| | 3147.9193 | | | 3147.9193 | ||
| | [[20/13|80/13]] | | | ([[20/13|80/13]]) | ||
| | | | | | ||
|- | |- | ||
| Line 310: | Line 313: | ||
| | 60 | | | 60 | ||
| | 3313.5993 | | | 3313.5993 | ||
| | [[22/13|88/13]] | | | ([[22/13|88/13]]) | ||
| | | | | | ||
|- | |- | ||
| Line 319: | Line 322: | ||
|} | |} | ||
[ | == Harmonics == | ||
[[ | {{Harmonics in equal|61|7|1}} | ||
{{Harmonics in equal|61|7|1|collapsed=1|start=12}} | |||
== Music == | |||
* [https://www.youtube.com/watch?v=FcF2wKqBiCs A Gift (a day late, i am ashamed)] by [[Nicolai Pulley]] | |||
{{todo|expand}} | |||