17th-octave temperaments: Difference between revisions
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17edo is a "wheel" for some fractional-octave temperaments. The most notable relationship is the tempering out of [[septendecima]], the amount by which seventeen [[25/24]] chromatic semitones exceed an octave. | 17edo is a "wheel" for some fractional-octave temperaments. The most notable relationship is the tempering out of [[septendecima]], the amount by which seventeen [[25/24]] chromatic semitones exceed an octave. | ||
== | Temperaments discussed elsewhere include: | ||
* Chlorine, - [[Ragismic microtemperaments#Chlorine]] | |||
==Gothic== | |||
The gothic temperament is associated with the [[17-comma]]. | |||
Subgroup: 2.3.5 | |||
Comma list: 134217728/129140163 | |||
{{mapping|legend=1|17 27 34|0 0 1}} | |||
: mapping generators: ~256/243 = 1\17, ~5/4 = 386.314 | |||
[[Support]]ing [[ET]]s: {{EDOs|34, 17[+5], 51[+5], 85[+5], 119[+5], 68[+5]}} | |||
==Leaves== | ==Leaves== | ||
Defined as the 323 & 2023 temperament. 2 generators reach [[17/13]], 7 generators reach [[5/4]], 10 generators produce [[13/11]]. | Defined as the 323 & 2023 temperament. 2 generators reach [[17/13]], 7 generators reach [[5/4]], 10 generators produce [[13/11]]. | ||