Diasem: Difference between revisions
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→Modes: added diatonic-based mode names and dechiralized modes |
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! style="text-align:center;" |Right-handed modes | ! style="text-align:center;" |Right-handed modes | ||
|- | |- | ||
| | LSLMLSLML <br/>LH Diasem 4|4 | | | LSLMLSLML <br/>LH Diasem 4|4<br/>LH Diasem Mixo | ||
| | LMLSLMLSL <br/>RH Diasem 4|4 | | | LMLSLMLSL <br/>RH Diasem 4|4<br/>RH Diasem Aeolian | ||
|- | |- | ||
| | SLMLSLMLL <br/>LH Diasem 0|8 | | | SLMLSLMLL <br/>LH Diasem 0|8<br/>LH Diasem Brightened Aeolian | ||
| | MLSLMLSLL <br/>RH Diasem 0|8 | | | MLSLMLSLL <br/>RH Diasem 0|8<br/>RH Diasem Locrian | ||
|- | |- | ||
| | LMLSLMLLS <br/>LH Diasem 5|3 | | | LMLSLMLLS <br/>LH Diasem 5|3<br/>LH Diasem Aeolian | ||
| | LSLMLSLLM <br/>RH Diasem 5|3 | | | LSLMLSLLM <br/>RH Diasem 5|3<br/>RH Diasem Ionian | ||
|- | |- | ||
| | MLSLMLLSL <br/>LH Diasem 1|7 | | | MLSLMLLSL <br/>LH Diasem 1|7<br/>LH Diasem Locrian | ||
| | SLMLSLLML <br/>RH Diasem 1|7 | | | SLMLSLLML <br/>RH Diasem 1|7<br/>RH Diasem Bright Dorian | ||
|- | |- | ||
| | LSLMLLSLM <br/>LH Diasem 6|2 | | | LSLMLLSLM <br/>LH Diasem 6|2<br/>LH Diasem Ionian | ||
| | LMLSLLMLS <br/>RH Diasem 6|2 | | | LMLSLLMLS <br/>RH Diasem 6|2<br/>RH Diasem Dark Dorian | ||
|- | |- | ||
| | SLMLLSLML <br/>LH Diasem 2|6 | | | SLMLLSLML <br/>LH Diasem 2|6<br/>LH Diasem Bright Dorian | ||
| | MLSLLMLSL <br/>RH Diasem 2|6 | | | MLSLLMLSL <br/>RH Diasem 2|6<br/>RH Diasem Phrygian | ||
|- | |- | ||
| | LMLLSLMLS <br/>LH Diasem 7|1 | | | LMLLSLMLS <br/>LH Diasem 7|1<br/>LH Diasem Dark Dorian | ||
| | LSLLMLSLM <br/>RH Diasem 7|1 | | | LSLLMLSLM <br/>RH Diasem 7|1<br/>RH Diasem Lydian | ||
|- | |- | ||
| | MLLSLMLSL <br/>LH Diasem 3|5 | | | MLLSLMLSL <br/>LH Diasem 3|5<br/>LH Diasem Phrygian | ||
| | SLLMLSLML <br/>RH Diasem 3|5 | | | SLLMLSLML <br/>RH Diasem 3|5<br/>RH Diasem Mixo | ||
|- | |- | ||
| | LLSLMLSLM <br/>LH Diasem 8|0 | | | LLSLMLSLM <br/>LH Diasem 8|0<br/>LH Diasem Lydian | ||
| | LLMLSLMLS <br/>RH Diasem 8|0 | | | LLMLSLMLS <br/>RH Diasem 8|0<br/>RH Diasem Darkened Mixo | ||
|} | |} | ||
=== Dechiralized modes === | |||
By taking the union of the two chiralities for each diatonic mode, we obtain the achiral scale LSCSLMLSLM, where c = L − 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). | |||
{| class="wikitable" | |||
|- | |||
! style="text-align:center;" |Dechiralized modes | |||
|- | |||
| | LSCSLMLSLM <br/> Dechiralized Diasem Lydian | |||
|- | |||
| | LSLMLSCSLM <br/> Dechiralized Diasem Ionian | |||
|- | |||
| | SCSLMLSLML <br/> Dechiralized Diasem Mixo | |||
|- | |||
| | SLMLSCSLML <br/> Dechiralized Diasem Bright Dorian | |||
|- | |||
| | LMLSCSLMLS <br/> Dechiralized Diasem Dark Dorian | |||
|- | |||
| | LMLSLMLSCS <br/> Dechiralized Diasem Aeolian | |||
|- | |||
| | MLSCSLMLSL <br/> Dechiralized Diasem Phrygian | |||
|- | |||
| | MLSLMLSCSL <br/> Dechiralized Diasem Locrian | |||
|- | |||
| | CSLMLSLMLS | |||
|- | |||
| | SLMLSLMLSC | |||
|} | |||
The last two modes are exceptional because they begin and end in a C and thus do not result from a union-taking that preserves the tonic. | |||
== In JI and similar tunings == | == In JI and similar tunings == | ||