Diasem: Difference between revisions

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Inthar (talk | contribs)
m Modes: In view of the "bright-to-dark" chains of modes given by the generator, there's no reason to keep brightened and bright etc. separate
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| | LMLSLMLSL <br/>RH Diasem 4|4<br/>RH Diasem Aeolian
| | LMLSLMLSL <br/>RH Diasem 4|4<br/>RH Diasem Aeolian
|-
|-
| | SLMLSLMLL <br/>LH Diasem 0|8<br/>LH Diasem Brightened Aeolian
| | SLMLSLMLL <br/>LH Diasem 0|8<br/>LH Diasem Bright Aeolian
| | MLSLMLSLL <br/>RH Diasem 0|8<br/>RH Diasem Locrian
| | MLSLMLSLL <br/>RH Diasem 0|8<br/>RH Diasem Locrian
|-
|-
| | LMLSLMLLS <br/>LH Diasem 5|3<br/>LH Diasem Aeolian (*)
| | LMLSLMLLS <br/>LH Diasem 5|3<br/>LH Diasem Dark Aeolian
| | LSLMLSLLM <br/>RH Diasem 5|3<br/>RH Diasem Ionian
| | LSLMLSLLM <br/>RH Diasem 5|3<br/>RH Diasem Ionian
|-
|-
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|-
|-
| | MLLSLMLSL <br/>LH Diasem 3|5<br/>LH Diasem Phrygian
| | MLLSLMLSL <br/>LH Diasem 3|5<br/>LH Diasem Phrygian
| | SLLMLSLML <br/>RH Diasem 3|5<br/>RH Diasem Mixo (*)
| | SLLMLSLML <br/>RH Diasem 3|5<br/>RH Diasem Bright Mixo
|-
|-
| | LLSLMLSLM <br/>LH Diasem 8|0<br/>LH Diasem Lydian
| | LLSLMLSLM <br/>LH Diasem 8|0<br/>LH Diasem Lydian
| | LLMLSLMLS <br/>RH Diasem 8|0<br/>RH Diasem Darkened Mixo
| | LLMLSLMLS <br/>RH Diasem 8|0<br/>RH Diasem Dark Mixo
|}
|}
Note that there are two Dorians for each chirality, Bright and Dark Dorian.


Notes:
When we arrange the modes in the order given by rotating each mode by the generator (the perfect fifth) we obtain the following families of modes (">" roughly means 'brighter than'):
* Note that there are two Dorians for each chirality, Bright and Dark Dorian.
# RH
* (*) We take these as the default LH Aeolian and RH Mixolydian because they have equivalents of the opposite chirality. The adjectives "brightened" and "darkened" are modifications that modify the default modes by an S.
## LSLLMLSLM (RH Lydian) > LSLMLSLLM (RH Ionian) > SLLMLSLML (RH Bright Mixo) > SLMLSLLML (RH Bright Dorian)
## LLMLSLMLS (RH Dark Mixo) > LMLSLLMLS (RH Dark Dorian) > LMLSLMLSL (RH Aeolian) > MLSLLMLSL (RH Phrygian) > MLSLMLSLL (RH Locrian)
# LH
## LMLLSLMLS (LH Dark Dorian) > LMLSLMLLS (LH Aeolian) > MLLSLMLSL (LH Phrygian) > MLSLMLLSL (LH Locrian)
## LLSLMLSLM (LH Lydian) LSLMLLSLM (LH Ionian) LSLMLSLML (LH Mixo) > SLMLLSLML (LH Bright Dorian) > SLMLSLMLL (Bright Aeolian)


== In JI and similar tunings ==
== In JI and similar tunings ==