User:Moremajorthanmajor/5L 2s (5/3-equivalent): Difference between revisions
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*[[3_4Cotoneum7]] | *[[3_4Cotoneum7]] | ||
==Scale tree== | ==Scale tree== | ||
If 4\7 (four degrees of | If 4\7 (four degrees of 7ED5/3) is at one extreme and 3\5 (three degrees of 5ED5/3) is at the other, all other possible 5L 2s scales exist in a continuum between them. You can chop this continuum up by taking "freshman sums" of the two edges - adding together the numerators, then adding together the denominators (i.e. adding them together as if you would be adding the complex numbers analogous real and imaginary parts). Thus, between 4\7 and 3\5 you have (4+3)\(7+5) = 7\12, seven degrees of 12ED5/3: | ||
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5L 2s contains the pentatonic MOS [[2L_3s (major sixth equivalent) |2L 3s]] and (with the sole exception of the 5L 2s of 12EDO) is itself contained in a dodecaphonic MOS: either [[7L_5s (major sixth equivalent) |7L 5s]] or [[5L_7s (major sixth equivalent) |5L 7s]], depending on whether the fifth is flatter than or sharper than 7\12 (675¢, 700$). | 5L 2s contains the pentatonic MOS [[2L_3s (major sixth equivalent) |2L 3s]] and (with the sole exception of the 5L 2s of 12EDO) is itself contained in a dodecaphonic MOS: either [[7L_5s (major sixth equivalent) |7L 5s]] or [[5L_7s (major sixth equivalent) |5L 7s]], depending on whether the fifth is flatter than or sharper than 7\12 (675¢, 700$). | ||
==Related Scales== | ==Related Scales== | ||
{{main| 5L 2s (major sixth equivalent) MODMOSes }} ''and [[5L 2s (major sixth equivalent) Muddles]]'' | {{main| 5L 2s (major sixth equivalent) MODMOSes }} ''and [[5L 2s (major sixth equivalent) Muddles]]'' | ||