9edo: Difference between revisions
mNo edit summary Tags: Mobile edit Mobile web edit |
added M2, m2 and A1 to the template, made the primes-error table |
||
| Line 8: | Line 8: | ||
| Prime factorization = 3<sup>2</sup> | | Prime factorization = 3<sup>2</sup> | ||
| Subgroup = | | Subgroup = | ||
| Step size = 133. | | Step size = 133.333¢ | ||
| Fifth type = [[Mavila]] 666. | | Fifth type = [[Mavila]] 5\9 = 666.667¢ | ||
| Major 2nd = 1\9 = 133¢ | |||
| Minor 2nd = 2\9 = 267¢ | |||
| Augmented 1sn = -1\9 = -133¢ | |||
| Common uses = [[pelog]]-inspired music, [[mavila]] | | Common uses = [[pelog]]-inspired music, [[mavila]] | ||
| Important MOS = [[mavila]] 2L3s 11313 (5\9, 1\1)<br/>[[mavila]] 2L5s 112112 (5\9, 1\1) | | Important MOS = [[mavila]] 2L3s 11313 (5\9, 1\1)<br/>[[mavila]] 2L5s 112112 (5\9, 1\1) | ||
| Line 18: | Line 21: | ||
== Theory == | == Theory == | ||
{| class="wikitable" | |||
! colspan="2" | | |||
!prime 2 | |||
!prime 3 | |||
!prime 5 | |||
!prime 7 | |||
!prime 11 | |||
!prime 13 | |||
!prime 17 | |||
!prime 19 | |||
|- | |||
! rowspan="2" |error | |||
!absolute (¢) | |||
|0 | |||
| -35.29 | |||
|13.7 | |||
| -35.5 | |||
| -18.0 | |||
| -40.5 | |||
|28.4 | |||
| -30.8 | |||
|- | |||
![[Relative error|relative]] (%) | |||
|0 | |||
| -26 | |||
|10 | |||
| -27 | |||
| -13 | |||
| -30 | |||
|21 | |||
| -23 | |||
|- | |||
! colspan="2" |[[nearest edomapping]] | |||
|9 | |||
|5 | |||
|3 | |||
|7 | |||
|4 | |||
|6 | |||
|1 | |||
|2 | |||
|- | |||
! colspan="2" |[[fifthspan]] | |||
|0 | |||
| +1 | |||
| -3 | |||
| -4 | |||
| -1 | |||
| +3 | |||
| +2 | |||
| +4 | |||
|} | |||
The 9-EDO scale has the peculiar property of representing certain [[7-limit]] intervals almost exactly. A 7-limit version of 9EDO goes | The 9-EDO scale has the peculiar property of representing certain [[7-limit]] intervals almost exactly. A 7-limit version of 9EDO goes | ||