7ed5/3: Difference between revisions
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| Line 6: | Line 6: | ||
|+ | |+ | ||
! | ! | ||
!ed7\10 | ! ed7\10 | ||
![[19ed4]] | ! [[19ed4]] | ||
!ed5/3 | !ed5/3 | ||
|- | |- | ||
|1 | | 1 | ||
|120 | | 120 | ||
|126.316 | | 126.316 | ||
|126.337 | | 126.337 | ||
|- | |- | ||
|2 | | 2 | ||
|240 | | 240 | ||
|252.632 | | 252.632 | ||
|252.674 | | 252.674 | ||
|- | |- | ||
|3 | | 3 | ||
|360 | | 360 | ||
|378.947 | | 378.947 | ||
|379.01 | | 379.01 | ||
|- | |- | ||
|4 | | 4 | ||
|480 | | 480 | ||
|503.263 | | 503.263 | ||
|505.348 | | 505.348 | ||
|- | |- | ||
|5 | | 5 | ||
|600 | | 600 | ||
|631.579 | | 631.579 | ||
|631.685 | | 631.685 | ||
|- | |- | ||
|6 | | 6 | ||
|720 | | 720 | ||
|757.895 | | 757.895 | ||
|758.022 | | 758.022 | ||
|- | |- | ||
|7 | | 7 | ||
|840 | | 840 | ||
|884.2105 | | 884.2105 | ||
|884.359 | | 884.359 | ||
|} | |} | ||
| Line 51: | Line 51: | ||
== See also == | == See also == | ||
* [ | * [[Alpha, beta, and gamma family of equal divisions]] | ||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||
Latest revision as of 06:52, 22 February 2026
| ← 6ed5/3 | 7ed5/3 | 8ed5/3 → |
(convergent)
7ed5/3 is the equal division of the just major sixth into seven parts of 126.337 cents each, corresponding to 9.4984edo (very nearly 19ed4 or 15edt). It is very closely related to the negri temperament.
Intervals
| ed7\10 | 19ed4 | ed5/3 | |
|---|---|---|---|
| 1 | 120 | 126.316 | 126.337 |
| 2 | 240 | 252.632 | 252.674 |
| 3 | 360 | 378.947 | 379.01 |
| 4 | 480 | 503.263 | 505.348 |
| 5 | 600 | 631.579 | 631.685 |
| 6 | 720 | 757.895 | 758.022 |
| 7 | 840 | 884.2105 | 884.359 |
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -63.0 | -6.9 | +0.4 | -6.9 | +56.5 | +42.3 | -62.6 | -13.8 | +56.5 | +17.8 | -6.5 |
| Relative (%) | -49.8 | -5.5 | +0.3 | -5.5 | +44.7 | +33.5 | -49.5 | -10.9 | +44.7 | +14.1 | -5.1 | |
| Steps (reduced) |
9 (2) |
15 (1) |
19 (5) |
22 (1) |
25 (4) |
27 (6) |
28 (0) |
30 (2) |
32 (4) |
33 (5) |
34 (6) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -18.7 | -20.7 | -13.8 | +0.8 | +22.2 | +49.6 | -44.0 | -6.5 | +35.4 | -45.2 | +4.2 |
| Relative (%) | -14.8 | -16.4 | -10.9 | +0.6 | +17.6 | +39.2 | -34.9 | -5.1 | +28.0 | -35.8 | +3.3 | |
| Steps (reduced) |
35 (0) |
36 (1) |
37 (2) |
38 (3) |
39 (4) |
40 (5) |
40 (5) |
41 (6) |
42 (0) |
42 (0) |
43 (1) | |