Trienstonic clan: Difference between revisions

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== Octokaidecal ==
== Octokaidecal ==
The 5-limit [[restriction]] of octokaidecal is supersharp, which tempers out [[800/729]], the difference between the [[27/20]] wolf fourth and the [[40/27]] wolf fifth, splitting the octave into two 27/20~40/27 semioctaves. It generally requires a very sharp fifth, even sharper than 3\5, as a generator. This means that five generators from the [[generator sequence #JI scales obtained from guided generator sequences|Zarlino generator sequence]] starting with 6/5 are tempered to one and a half octaves. The only reasonable 7-limit extension adds 28/27 and 50/49 to the comma list, taking advantage of the existing semioctave.
=== 5-limit (supersharp) ===
=== 5-limit (supersharp) ===
[[Subgroup]]: 2.3.5
[[Subgroup]]: 2.3.5