9edo: Difference between revisions

Line 8:

| Prime factorization = 3<sup>2</sup>

| Step size = 133.333¢

Relative Radian = 21.22065¢

| Fifth = 5\9 = 666.667¢

| Major 2nd = 1\9 = 133.333¢

Line 20:

Line 21:

The 9edo 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

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

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

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.

== Notation ==

@@ Line 8: / Line 8: @@
 | Prime factorization = 3<sup>2</sup>
 | Step size = 133.333¢
+Relative Radian = 21.22065¢
 | Fifth = 5\9 = 666.667¢
 | Major 2nd = 1\9 = 133.333¢
@@ Line 20: / Line 21: @@
 The 9edo scale has the peculiar property of representing certain [[7-limit]] intervals almost exactly. A 7-limit version of 9edo goes
-: 27/25 133.238 large limma, BP small semitone
+: [[Tel:27/25 133.238|27/25 133.238]] large limma, BP small semitone
 : 7/6 266.871 septimal minor third
-: 63/50 400.108 quasi-equal major third
+: [[Tel:63/50 400.108|63/50 400.108]] quasi-equal major third
-: 49/36 533.742 Arabic lute acute fourth
+: [[Tel:49/36 533.742|49/36 533.742]] Arabic lute acute fourth
-: 72/49 666.258 Arabic lute grave fifth
+: [[Tel:72/49 666.258|72/49 666.258]] Arabic lute grave fifth
-: 100/63 799.892 quasi-equal minor sixth
+: [[Tel:100/63 799.892|100/63 799.892]] quasi-equal minor sixth
 : 12/7 933.129 septimal major sixth
-: 50/27 1066.762 grave major seventh
+: [[Tel:50/27 1066.762|50/27 1066.762]] grave major seventh
 : 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.
 == Notation ==