16th-octave temperaments: Difference between revisions
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[[Support]]ing [[ET]]s: {{EDOs|48ghh, 176h, 224, 400, 624, 848gh, 1024e}} | [[Support]]ing [[ET]]s: {{EDOs|48ghh, 176h, 224, 400, 624, 848gh, 1024e}} | ||
== Ntiscifer == | |||
{{Main| Ntiscifer }} | |||
Ntiscifer is equivalent to the 16edo [[circle of fifths]] with an added dimension for [[5/4]]. In 16edo, this maps 5/4 to 375 cents, as in mavila temperament. Tunings with a separate, more accurate third include [[64edo]], [[80edo]], and [[96edo]]; 96edo is a particularly accurate tuning, though 64edo might be considered more practical. | |||
[[Subgroup]]: 2.3.5 | |||
[[Comma list]]: [[43046721/33554432]] | |||
{{Mapping|legend=1| 16 25 0 | 0 0 1 }} | |||
[[Optimal tuning]]s: | |||
* [[CTE]]: ~2048/2187 = 1\16, ~5/4 = 386.3137 (~135/128 = 11.3137) | |||
* [[CWE]]: ~2048/2187 = 1\16, ~5/4 = 373.1508 (~128/135 = 1.8492) | |||
{{Optimal ET sequence|legend=1| 16 }} | |||
[[Badness]]: 3.05 | |||