11edo: Difference between revisions
m →Music |
added M2, m2 and A1 to the template, made the primes-error table |
||
| Line 8: | Line 8: | ||
| Prime factorization = 11 | | Prime factorization = 11 | ||
| Subgroup = 2.9.7.11.15.17 | | Subgroup = 2.9.7.11.15.17 | ||
| Step size = 109. | | Step size = 109.091¢ | ||
| Fifth type = 6\11 = 654.545¢ | |||
| Major 2nd = 1\11 = 109¢ | |||
| Minor 2nd = 3\11 = 327¢ | |||
| Augmented 1sn = -2\11 = -218¢ | |||
| Common uses = distorted 12edo | | Common uses = distorted 12edo | ||
| Important MOS = [[orgone]] 4L3s 2212121 (3\11, 1\1)<br/>[[machine]] 5L1s 222221 (2\11, 1\1)<br/>[[joan]] 2L5s 3113111 (5\11, 1\1)<br/>[[joan]] 2L7s 211121111 (5\11, 1\1) | | Important MOS = [[orgone]] 4L3s 2212121 (3\11, 1\1)<br/>[[machine]] 5L1s 222221 (2\11, 1\1)<br/>[[joan]] 2L5s 3113111 (5\11, 1\1)<br/>[[joan]] 2L7s 211121111 (5\11, 1\1) | ||
}} | }} | ||
==Theory== | ==Theory== | ||
{| class="wikitable" | |||
11-tone equal temperament, or 11[[EDO|edo]], divides the [[ | ! colspan="2" | | ||
!prime 2 | |||
!prime 3 | |||
!prime 5 | |||
!prime 7 | |||
!prime 11 | |||
!prime 13 | |||
!prime 17 | |||
!prime 19 | |||
|- | |||
! rowspan="2" |error | |||
!absolute (¢) | |||
|0 | |||
| -47.41 | |||
|50.0 | |||
|13.0 | |||
| -5.9 | |||
|32.2 | |||
|4.1 | |||
|29.8 | |||
|- | |||
![[Relative error|relative]] (%) | |||
|0 | |||
| -43 | |||
|46 | |||
|12 | |||
| -5 | |||
|30 | |||
|4 | |||
|27 | |||
|- | |||
! colspan="2" |[[nearest edomapping]] | |||
|11 | |||
|6 | |||
|4 | |||
|9 | |||
|5 | |||
|8 | |||
|1 | |||
|3 | |||
|- | |||
! colspan="2" |[[fifthspan]] | |||
|0 | |||
| +1 | |||
| -3 | |||
| -4 | |||
| -1 | |||
| +5 | |||
| +2 | |||
| -5 | |||
|} | |||
11-tone equal temperament, or 11[[EDO|edo]], divides the [[octave]] into eleven equal steps of approximately 109.09 [[cent|cents]]. It is the fifth [[prime_numbers|prime]] edo, after [[2edo]], [[3edo]], [[5edo]], and [[7edo]]. | |||
Being less than twelve, 11edo maps easily to the standard keyboard. The suggested mapping disregards the Ab/G# key, leaving Orgone[7] on the whites. The superfluous Ab can be made a note of [[22edo|22edo]], a tuning known as "elevenplus". | Being less than twelve, 11edo maps easily to the standard keyboard. The suggested mapping disregards the Ab/G# key, leaving Orgone[7] on the whites. The superfluous Ab can be made a note of [[22edo|22edo]], a tuning known as "elevenplus". | ||
| Line 434: | Line 489: | ||
== Music == | == Music == | ||
* [[File:11EDO-improv.mp3]] [http://xenharmony.wikispaces.com/space/showimage/11EDO-improv.mp3 First Piece Ever]{{Dead link}} by [[George Secor]], 1970. Apparently the first piece ever written for 11edo. | * [[File:11EDO-improv.mp3|link=Special:FilePath/11EDO-improv.mp3]] [http://xenharmony.wikispaces.com/space/showimage/11EDO-improv.mp3 First Piece Ever]{{Dead link}} by [[George Secor]], 1970. Apparently the first piece ever written for 11edo. | ||
* [http://www.focalchords.com/audio/Cool_My_Head_11EDO.mp3 Cool My Head] by [[David Hamill]], 2010 | * [http://www.focalchords.com/audio/Cool_My_Head_11EDO.mp3 Cool My Head] by [[David Hamill]], 2010 | ||
* Hyperimprovisations Nuggetwarp by [[Jacob Barton]], 2009: | * Hyperimprovisations Nuggetwarp by [[Jacob Barton]], 2009: | ||