Ed7
Ed7 means Division of the Seventh Harmonic (7/1) into n equal parts.
Properties
The seventh harmonic is particularly wide as far as equivalences go. There are (at absolute most) ~3.9 heptataves within the human hearing range; imagine if that were the case with octaves. If one does indeed deal with heptatave equivalence, this fact shapes one's musical approach dramatically.
Incidentally, one way to treat 7/1 as an equivalence is to eliminate the primes 2, 3, and 5 and use the 7:11:13:(49) chord as the fundamental complete sonority in a very similar way to the 4:5:6:(8) chord in meantone Whereas in meantone it takes four 3/2 to get to 5/4, here it takes seven 13/7 to get to 11/7 (tempering out the comma 63412811/62748517 in the 7.11.13 subgroup). This temperament yields 10, 13, 16, 19, 22, 25, and 47 note MOS. If 7/1 is too wide to be used as an equivalence, the next best option would be equal divisions of 11/7.
Table of similar ETs
| ED7 | Similar EDO | Similar EDT | Similar EDF |
|---|---|---|---|
| 7ed7 | 4edt | ||
| 9ed7 | 5edt | ||
| 11ed7 | 4edo | ||
| 14ed7 | 5edo | ||
| 16ed7 | 9edt | ||
| 17ed7 | 6edo | ||
| 18ed7 | 10edt | ||
| 21ed7 | 12edt | ||
| 23ed7 | 13edt | ||
| 25ed7 | 9edo | ||
| 28ed7 | 10edo | ||
| 30ed7 | 17edt | ||
| 31ed7 | 11edo | ||
| 32ed7 | 18edt | ||
| 34ed7 | 12edo | ||
| 37ed7 | 21edt | ||
| 39ed7 | 14edo | ||
| 41ed7 | 23edt | ||
| 42ed7 | 15edo | ||
| 44ed7 | 25edt | ||
| 45ed7 | 16edo | ||
| 46ed7 | 26edt | ||
| 48ed7 | 17edo | ||
| 53ed7 | 30edt | ||
| 55ed7 | 31edt | ||
| 56ed7 | 20edo | ||
| 57ed7 | 32edt | ||
| 59ed7 | 21edo | ||
| 60ed7 | 34edt | ||
| 62ed7 | 22edo | ||
| 64ed7 | 36edt | ||
| 67ed7 | 38edt | ||
| 69ed7 | 39edt | ||
| 70ed7 | 25edo | ||
| 71ed7 | 40edt | ||
| 73ed7 | 26edo | ||
| 76ed7 | 27edo | ||
| 78ed7 | 44edt | ||
| 80ed7 | 45edt | ||
| 83ed7 | 47edt | ||
| 84ed7 | 30edo | ||
| 85ed7 | 48edt | ||
| 87ed7 | 31edo | ||
| 90ed7 | 32edo | ||
| 92ed7 | 52edt | ||
| 94ed7 | 53edt | ||
| 96ed7 | Carlos Gamma | ||
| 98ed7 | 35edo | ||
| 99ed7 | 56edt |
Individual pages for ED7s
- 4ed7
- 5ed7
- 6ed7
- 7ed7 compare 4edt
- 8ed7
- 9ed7 compare 5edt
- 10ed7
- 11ed7 compare 4edo
- 12ed7
- 13ed7
- 14ed7 compare 5edo
- 15ed7
- 16ed7 compare 9edt
- 17ed7 compare 6edo
- 18ed7 compare 10edt
- 19ed7
- 20ed7
- 21ed7 compare 12edt
- 22ed7
- 23ed7 compare 13edt
- 24ed7
- 25ed7 compare 9edo
- 26ed7
- 27ed7
- 28ed7 compare 10edo
- 29ed7
- 30ed7 compare 17edt
- 31ed7 compare 11edo
- 32ed7 compare 18edt
- 33ed7
- 34ed7 compare 12edo
- 35ed7
- 36ed7
- 37ed7 compare 21edt
- 38ed7
- 39ed7 compare 14edo
- 40ed7
- 41ed7 compare 23edt
- 42ed7 compare 15edo
- 43ed7
- 44ed7 compare 25edt
- 45ed7 compare 16edo
- 46ed7 compare 26edt
- 47ed7
- 48ed7 compare 17edo
- 49ed7
- 50ed7
- 51ed7
- 52ed7
- 53ed7 compare 30edt
- 54ed7
- 55ed7 compare 31edt
- 56ed7 compare 20edo
- 57ed7 compare 32edt
- 58ed7
- 59ed7 compare 21edo
- 60ed7 compare 34edt
- 61ed7
- 62ed7 compare 22edo
- 63ed7
- 64ed7 compare 36edt
- 65ed7
- 66ed7
- 67ed7 compare 38edt
- 68ed7
- 69ed7 compare 39edt
- 70ed7 compare 25edo
- 71ed7 compare 40edt
- 72ed7
- 73ed7 compare 26edo
- 74ed7
- 75ed7
- 76ed7 compare 27edo
- 77ed7
- 78ed7 compare 44edt
- 79ed7
- 80ed7 compare 45edt
- 81ed7
- 82ed7
- 83ed7 compare 47edt
- 84ed7 compare 30edo
- 85ed7 compare 48edt
- 86ed7
- 87ed7 compare 31edo
- 88ed7
- 89ed7
- 90ed7 compare 32edo
- 91ed7
- 92ed7 compare 52edt
- 93ed7
- 94ed7 compare 53edt
- 95ed7
- 96ed7 compare Carlos Gamma
- 97ed7
- 98ed7 compare 35edo
- 99ed7 compare 56edt
- 100ed7
- 101ed7