Systematic comma names explained: Difference between revisions

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=== Lala-negu, Triyo, etc. ===

Color notation uses syllables derived from English color names to express the prime factors, including repetitions and accounting for ~~direction~~ (up or ~~down~~), that compose the ratio of a JI interval. Therefore, ~~systematic~~ comma ~~names~~ can be derived ~~by finding any comma's associated~~ color ~~notation~~. Octave equivalence is assumed, so prime 2 is ~~usually~~ not indicated in the color name, while prime 3 is treated as a way to disambiguate simple and complex commas, instead of counting repetitions in the factorization.

Color notation uses syllables derived from English color names and number names to express the prime factors, including repetitions and accounting for location (over or under, i.e. in the numerator or the denominator), that compose the ratio of a JI interval. Therefore, a comma's ratio can be derived from its color name. Octave equivalence is assumed, so prime 2 is not indicated in the color name, while prime 3 is treated as a way to disambiguate simple and complex commas, instead of counting repetitions in the factorization.

For example, [[250/243]] is Triyo, since it has three ~~upwards~~ 5s in its ~~factorization~~, the rest being 2s and 3s only; for comparison, 273375/262144 is Latriyo and 64000/59049 is Satriyo, both having three ~~upwards~~ 5s as well, but having more complex structures in primes 2 and 3.

For example, [[250/243]] is Triyo, since it has three "over" 5s in its numerator, the rest being 2s and 3s only; for comparison, 273375/262144 is Latriyo and 64000/59049 is Satriyo, both having three over 5s as well, but having more complex structures in primes 2 and 3.

== Closing error ==

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 === Lala-negu, Triyo, etc. ===
 {{Main|Color notation/Temperament names}}
-Color notation uses syllables derived from English color names to express the prime factors, including repetitions and accounting for direction (up or down), that compose the ratio of a JI interval. Therefore, systematic comma names can be derived by finding any comma's associated color notation. Octave equivalence is assumed, so prime 2 is usually not indicated in the color name, while prime 3 is treated as a way to disambiguate simple and complex commas, instead of counting repetitions in the factorization.
+Color notation uses syllables derived from English color names and number names to express the prime factors, including repetitions and accounting for location (over or under, i.e. in the numerator or the denominator), that compose the ratio of a JI interval. Therefore, a comma's ratio can be derived from its color name. Octave equivalence is assumed, so prime 2 is not indicated in the color name, while prime 3 is treated as a way to disambiguate simple and complex commas, instead of counting repetitions in the factorization.
-For example, [[250/243]] is Triyo, since it has three upwards 5s in its factorization, the rest being 2s and 3s only; for comparison, 273375/262144 is Latriyo and 64000/59049 is Satriyo, both having three upwards 5s as well, but having more complex structures in primes 2 and 3.
+For example, [[250/243]] is Triyo, since it has three "over" 5s in its numerator, the rest being 2s and 3s only; for comparison, 273375/262144 is Latriyo and 64000/59049 is Satriyo, both having three over 5s as well, but having more complex structures in primes 2 and 3.
 == Closing error ==