5L 3s: Difference between revisions
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'Father' is sometimes also used to denote 5L 3s, but it's a misnomer, as [[father]] is technically an abstract [[regular temperament]] (although a very inaccurate one), not a generator range. There are father tunings which generate 3L 5s. A more correct but still not quite correct name would be 'father[8]' or 'father octatonic'. "Father" is also vague regarding the number of notes, because optimal generators for it also generate [[3L 2s]]. | 'Father' is sometimes also used to denote 5L 3s, but it's a misnomer, as [[father]] is technically an abstract [[regular temperament]] (although a very inaccurate one), not a generator range. There are father tunings which generate 3L 5s. A more correct but still not quite correct name would be 'father[8]' or 'father octatonic'. "Father" is also vague regarding the number of notes, because optimal generators for it also generate [[3L 2s]]. | ||
=== Proposed mode names === | == Scale properties == | ||
{{MOS data}} | |||
==== Proposed mode names ==== | |||
The following names have been proposed for the modes of 5L 3s, and are named after cities in the Dreamlands. | The following names have been proposed for the modes of 5L 3s, and are named after cities in the Dreamlands. | ||
{{MOS modes|Mode Names=Dylathian; | {{MOS modes|Mode Names= | ||
Dylathian; | |||
Ilarnekian; | Ilarnekian; | ||
Celephaïsian; | Celephaïsian; | ||
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Kadathian; | Kadathian; | ||
Hlanithian; | Hlanithian; | ||
Sarnathian;|Collapsed=1 | Sarnathian; | ||
|Collapsed=1}} | |||
== Tunings== | == Tunings== | ||
===Simple tunings === | === Simple tunings === | ||
The simplest tuning for 5L 3s correspond to 13edo, 18edo, and 21edo, with step ratios 2:1, 3:1, and 3:2, respectively. | The simplest tuning for 5L 3s correspond to 13edo, 18edo, and 21edo, with step ratios 2:1, 3:1, and 3:2, respectively. | ||