User:Moremajorthanmajor/3L 1s (perfect fifth-equivalent): Difference between revisions
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==Notation== | ==Notation== | ||
There are 3 main ways to notate the diatonic scale. One method uses a simple sesquitave (fifth) repeating notation consisting of 4 naturals (eg. Do Re Mi Fa, Sol La Si Do). Given that 1-5/4-5/3 is fifth-equivalent to a tone cluster of 1-10/9-5/4, it may be more convenient to notate diatonic scales as repeating at the double or triple sesquitave (major ninth or thirteenth), however it does make navigating the [[Generator|genchain]] harder. This way, 5/3 is its own pitch class, distinct from 10/9. Notating this way produces a major ninth which is the Aeolian mode of Napoli[6L 2s] or a major thirteenth which is the Dorian mode of Bijou[9L 3s]. Since there are exactly 8 naturals in double sesquitave notation and 12 in triple sesquitave notation, letters A-H (FGABHCDEF) or dozenal digits (0123456789XE0 or D1234567FGACD with flats written C molle) may be used. | There are 3 main ways to notate the diatonic scale. One method uses a simple sesquitave (fifth) repeating notation consisting of 4 naturals (eg. Do Re Mi Fa, Sol La Si Do). Given that 1-5/4-5/3 is fifth-equivalent to a tone cluster of 1-10/9-5/4, it may be more convenient to notate diatonic scales as repeating at the double or triple sesquitave (major ninth or thirteenth), however it does make navigating the [[Generator|genchain]] harder. This way, 5/3 is its own pitch class, distinct from 10/9. Notating this way produces a major ninth which is the Aeolian mode of Napoli[6L 2s] or a major thirteenth which is the Dorian mode of Bijou[9L 3s]. Since there are exactly 8 naturals in double sesquitave notation and 12 in triple sesquitave notation, letters A-H (FGABHCDEF) or dozenal digits (0123456789XE0 or D1234567FGACD with flats written C molle) may be used. | ||
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[[Comma]] list: [[81/80]] | [[Comma]] list: [[81/80]] | ||
[[POL2]] generator: ~9/8 = | [[POL2]] generator: ~9/8 = 192.6406 | ||
[[Mapping]]: [{{val|1 1 2}}, {{val|0 -2 -3}}] | [[Mapping]]: [{{val|1 1 2}}, {{val|0 -2 -3}}] | ||
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[[Comma]] list: [[64/63]] | [[Comma]] list: [[64/63]] | ||
[[POL2]] generator: ~8/7 = | [[POL2]] generator: ~8/7 = 218.6371 | ||
[[Mapping]]: [{{val|1 1 2}}, {{val|0 -2 -3}}] | [[Mapping]]: [{{val|1 1 2}}, {{val|0 -2 -3}}] | ||