Diasem: Difference between revisions
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* (*) 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. | * (*) 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. | ||
=== Ambi modes === | === Ambi modes === | ||
By taking the pitches of both chiralities corresponding to each diatonic mode, we obtain the achiral scale LSCSLMLSLM, where C = L − S, termed ''ambi-diasem'' (after ''ambidextrous''). 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 ambi 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 − S, termed ''ambi-diasem'' (after ''ambidextrous''). It ensures that every "supermajor third" (2L + S) in the scale has both major tone-minor tone and minor tone-major tone steps available. 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 ambi 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" | {| class="wikitable" | ||
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| | MLSLMLSCSL <br/> Ambi-Diasem Locrian | | | MLSLMLSCSL <br/> Ambi-Diasem Locrian | ||
|- | |- | ||
| | CSLMLSLMLS | | | CSLMLSLMLS <br/> Ambi-Diasem Darkened Mixo | ||
|- | |- | ||
| | SLMLSLMLSC | | | SLMLSLMLSC <br/> Ambi-Diasem Brightened Aeolian | ||
|} | |} | ||
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. | 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. |