User:Inthar/21edo: Difference between revisions
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m Text replacement - "Ups and Downs Notation" to "Ups and downs notation" |
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! Degree | ! Degree | ||
! Cents | ! Cents | ||
! colspan="3" | [[Ups and | ! colspan="3" | [[Ups and downs notation|Up/down notation]] | ||
! [[User:Inthar/Fox-Raven notation|Fox-Raven]] <br/> [[5L 3s]] <br/> Notation | ! [[User:Inthar/Fox-Raven notation|Fox-Raven]] <br/> [[5L 3s]] <br/> Notation | ||
! Category name | ! Category name | ||
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* 1143 can be used internally but not 1257. | * 1143 can be used internally but not 1257. | ||
=== Diasem harmony === | === Diasem harmony === | ||
[[Diasem]] is an MV3 scale with step pattern either (left-handed) MLSLMLLSL or (right-handed) MLSLMLSLL which are non-superimposable mirror images. As its name suggests, | [[Diasem]] is an MV3 scale with step pattern either (left-handed) MLSLMLLSL or (right-handed) MLSLMLSLL which are non-superimposable mirror images. As its name suggests, 21edo diasem has qualities intermediate that of [[19edo]]'s [[diatonic]] mos and [[23edo]]'s [[semiquartal]] mos. 21edo diasem also has a non-chiral alteration 231323223, which, however, is only MV3 because of the specific step ratio 3:2:1 it has in 21edo. | ||
The basic Locrian 7th chord has a brighter version 0-343-629-1029 and a darker version 0-286-571-971. The bright version occurs in both diasem Locrians. A more xen one can be made by lowering either 343 or 1029 by one step, which exists in some variant of diasem Locrian. Unfortunately, the darker Locrian seventh chord doesn't appear in any unaltered diasem mode in 21edo. To remedy this one could split (add a comma step to) the tritone and the minor 2nd, yielding 11313113313. | The basic Locrian 7th chord has a brighter version 0-343-629-1029 and a darker version 0-286-571-971. The bright version occurs in both diasem Locrians. A more xen one can be made by lowering either 343 or 1029 by one step, which exists in some variant of diasem Locrian. Unfortunately, the darker Locrian seventh chord doesn't appear in any unaltered diasem mode in 21edo. To remedy this one could split (add a comma step to) the tritone and the minor 2nd, yielding 11313113313. | ||
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===== RH Diasem Lydian ===== | ===== RH Diasem Lydian ===== | ||
[[File:RH Diasem Lydian Example 21edo.mp3]] [[:File:Diasem Lydian Example Score.pdf|Score]] | [[File:RH Diasem Lydian Example 21edo.mp3]] [[:File:Diasem Lydian Example Score.pdf|Score]] | ||
===== LH Diasem Dorian ===== | |||
[[File:LH Diasem Dorian Example 21edo.mp3]] | |||
===== RH Diasem Dorian ===== | ===== RH Diasem Dorian ===== | ||
[[File:RH Diasem Dorian Example 21edo.mp3]] [[:File:RH Diasem Dorian Example Score.pdf|Score]] | [[File:RH Diasem Dorian Example 21edo.mp3]] [[:File:RH Diasem Dorian Example Score.pdf|Score]] | ||
===== LH Diasem Phrygian ===== | |||
[[File:Diasem Phrygian Example 21edo.mp3]] | |||
===== LH Diasem Locrian ===== | ===== LH Diasem Locrian ===== | ||
[[File:LH Diasem Locrian Example 21edo.mp3]] [[:File:Diasem Locrian Example.pdf|Score]] | [[File:LH Diasem Locrian Example 21edo.mp3]] [[:File:Diasem Locrian Example.pdf|Score]] | ||
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===== LH Diasem Pseudo-Celdorian ===== | ===== LH Diasem Pseudo-Celdorian ===== | ||
===== RH Diasem Pseudo-Illarnekian ===== | ===== RH Diasem Pseudo-Illarnekian ===== | ||
==== Altered diasem modes ==== | |||
* 233231313 Oneiro-Diasem Locrian | |||
* 231322213 Diasem Locrian "#6" | |||
=== Other diatonic scales === | === Other diatonic scales === | ||
* 0 229 400 629 686 914 1086 1200: 21edo Bright Lydian (not contained in diasem) | * 0 229 400 629 686 914 1086 1200: 21edo Bright Lydian (not contained in diasem) | ||
== Free 21edo == | |||
[[File:21edo Fugue Expo.mp3]] | |||
== Oneirotonic harmony == | == Oneirotonic harmony == | ||
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Miracle is a good mapping. | Miracle is a good mapping. | ||
[[Category:21edo]] | |||