7ed5/3: Difference between revisions
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'''7ed5/3''' is the [[Ed5/3|equal division of the just major sixth]] into seven parts of 126.337 [[cent]]s each, corresponding to 9.4984[[edo]] (very nearly [[19ed4]] or [[15edt]]). It is very closely related to the [[Marvel temperaments #Negri|negri temperament]]. | '''7ed5/3''' is the [[Ed5/3|equal division of the just major sixth]] into seven parts of 126.337 [[cent]]s each, corresponding to 9.4984[[edo]] (very nearly [[19ed4]] or [[15edt]]). It is very closely related to the [[Marvel temperaments #Negri|negri temperament]]. | ||
== Intervals == | |||
{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
! | ! | ||
!ed7\10 | !ed7\10 | ||
![[19ed4]] | ![[19ed4]] | ||
!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 | ||
|} | |} | ||
== Harmonics == | |||
{{Harmonics in equal|7|5|3}} | |||
{{Harmonics in equal|7|5|3|collapsed=1|start=12}} | |||
{{todo|inline=1|expand}} | |||
[[Category:Nonoctave]] | [[Category:Nonoctave]] | ||
Revision as of 22:32, 21 December 2024
| ← 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) | |
|
Todo: expand |