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m Restore certain parts that are helpful for clarity |
→Temperaments: swap them to impress the reader of the "simpler" temp first |
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== Temperaments == | == Temperaments == | ||
Tempering out this comma in the full 17-limit results in the rank-6 '''semitonismic temperament''', or in the 2.3.17 subgroup, the rank-2 '''semitonic temperament'''. In either case the [[octave]] is split into two equal parts, each representing 17/12~24/17, and thus so is the whole tone, each representing 17/16~18/17. Odd edos cannot temper it out. | Tempering out this comma in the full 17-limit results in the rank-6 '''semitonismic temperament''', or in the 2.3.17 subgroup, the rank-2 '''semitonic temperament'''. In either case the [[octave]] is split into two equal parts, each representing 17/12~24/17, and thus so is the whole tone, each representing 17/16~18/17. Odd edos cannot temper it out. | ||
=== Semitonic === | |||
[[Subgroup]]: 2.3.17 | |||
{{Mapping|legend=2| 2 0 5 | 0 1 1 }} | |||
: sval mapping generators: ~17/12, ~3 | |||
[[Optimal tuning]] ([[CTE]]): ~17/12 = 1\2, ~3/2 = 702.3472 (~17/16 = 102.3472) | |||
{{Optimal ET sequence|legend=1| 12, 58, 70, 82, 94, 106, 118, 224g }} | |||
=== Semitonismic === | === Semitonismic === | ||
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{{Optimal ET sequence|legend=1| 34d, 38df, 46, 58, 72, 130, 140, 190g, 212g, 270g, 342fg, 402defgg, 460gg, 532dfggg, 672defggg }} | {{Optimal ET sequence|legend=1| 34d, 38df, 46, 58, 72, 130, 140, 190g, 212g, 270g, 342fg, 402defgg, 460gg, 532dfggg, 672defggg }} | ||
== Etymology == | == Etymology == | ||