9edo: Difference between revisions
remove nonet sentence which makes no sense to me |
mNo edit summary |
||
| Line 70: | Line 70: | ||
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 | ||
1: 27/25 133.238 large limma, BP small semitone | 1: [[Tel:27/25 133.238|27/25 133.238]] large limma, BP small semitone | ||
2: 7/6 266.871 septimal minor third | 2: 7/6 266.871 septimal minor third | ||
3: 63/50 400.108 quasi-equal major third | 3: [[Tel:63/50 400.108|63/50 400.108]] quasi-equal major third | ||
4: 49/36 533.742 Arabic lute acute fourth | 4: [[Tel:49/36 533.742|49/36 533.742]] Arabic lute acute fourth | ||
5: 72/49 666.258 Arabic lute grave fifth | 5: [[Tel:72/49 666.258|72/49 666.258]] Arabic lute grave fifth | ||
6: 100/63 799.892 quasi-equal minor sixth | 6: [[Tel:100/63 799.892|100/63 799.892]] quasi-equal minor sixth | ||
7: 12/7 933.129 septimal major sixth | 7: 12/7 933.129 septimal major sixth | ||
8: 50/27 1066.762 grave major seventh | 8: [[Tel:50/27 1066.762|50/27 1066.762]] grave major seventh | ||
9: 2/1 1200.000 octave | 9: 2/1 1200.000 octave | ||
Here the characterizations are taken from [http://en.wikipedia.org/wiki/Scala_%28program%29 Scala], which also describes the scale itself as "Pelog Nawanada: Sunda". Chords such as 1/1 - 7/6 - 49/36 - 12/7 are therefore natural ones for 9EDO. The above scale generates the [[Just_intonation_subgroups|just intonation subgroup]] 2.27/25.7/3, which is closely related to 9EDO. | Here the characterizations are taken from [http://en.wikipedia.org/wiki/Scala_%28program%29 Scala], which also describes the scale itself as "Pelog Nawanada: Sunda". Chords such as 1/1 - 7/6 - [[Tel:49/36 - 12/7|49/36 - 12/7]] are therefore natural ones for 9EDO. The above scale generates the [[Just_intonation_subgroups|just intonation subgroup]] 2.27/25.7/3, which is closely related to 9EDO. | ||
=== Differences between distributionally-even scales and smaller edos === | |||
{| class="wikitable" | |||
|+ | |||
!N | |||
!L-Nedo | |||
!s-Nedo | |||
|- | |||
|2 | |||
|66.666¢ | |||
| -66.666¢ | |||
|- | |||
|4 | |||
|100¢ | |||
| -33.333¢ | |||
|- | |||
|5 | |||
|26.667¢ | |||
| -106.667¢ | |||
|- | |||
|6 | |||
|66.666¢ | |||
| -66.666¢ | |||
|- | |||
|7 | |||
|95.238¢ | |||
| -38.095¢ | |||
|- | |||
|8 | |||
|116.667¢ | |||
| -16.667¢ | |||
|} | |||
== Notation == | == Notation == | ||