Diasem: Difference between revisions

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| | LSLMLSLML <br/>LH Diasem 4|4<br/>LH Diasem Mixo
| | LSLMLSLML <br/>LH Diasem 4|4<br/>LH Diasem Mixo
| | 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 Brightened Aeolian
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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 Mixo (*)
|-
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| | LLSLMLSLM <br/>LH Diasem 8|0<br/>LH Diasem Lydian
| | LLSLMLSLM <br/>LH Diasem 8|0<br/>LH Diasem Lydian
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Notes:
Notes:
* Note that there are two Dorians for each chirality, Bright and Dark Dorain.
* Note that there are two Dorians for each chirality, Bright and Dark Dorian.
* We take the given Aeolians and Mixolydians as the default Aeolian and Mixolydian because they can be dechiralized (see below). The adjectives "brightened" and "darkened" are modifications that flatten the default modes by a comma step; these modes have no dechiralized equivalents.
* (*) We take these as the default LH Aeolian and RH Mixolydian because they can be dechiralized (see below). The adjectives "brightened" and "darkened" are modifications that flatten the default modes by a comma step; these modes have no dechiralized equivalents.
=== Dechiralized modes ===
=== Dechiralized modes ===
By taking the pitches of both chiralities corresponding to each diatonic mode, we obtain the achiral scale LSCSLMLSLM, where c = L &minus; s. This is a stretched version of the [[blackdye]] scale with the same step ratio (with the L in the "SLS" of blackdye made smaller). There are 8 dechiralized modes that result from changing an occurrence of SL and LS in it to SCS (on the same root as the original chiral modes).
By taking the pitches of both chiralities corresponding to each diatonic mode, we obtain the achiral scale LSCSLMLSLM, where c = L &minus; s. This is a stretched version of the [[blackdye]] scale with the same step ratio (with the L in the "SLS" of blackdye made smaller). There are 8 dechiralized modes that result from changing an occurrence of SL and LS in it to SCS (on the same root as the original chiral modes).