103edo: Difference between revisions
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m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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== Approximation to JI == | == Approximation to JI == | ||
=== Interval mappings === | |||
{{Q-odd-limit intervals}} | |||
=== Zeta peak index === | === Zeta peak index === | ||
{ | {{ZPI | ||
| zpi = 596 | |||
| steps = 102.936629522070 | |||
| step size = 11.6576577800491 | |||
| tempered height = 8.543510 | |||
| pure height = 5.620365 | |||
| integral = 1.340775 | |||
| gap = 18.270998 | |||
| octave = 1200.73875134506 | |||
| consistent = 15 | |||
| distinct = 15 | |||
}} | |||
| 11.6576577800491 | |||
| 8.543510 | |||
| 1.340775 | |||
| 18.270998 | |||
| | |||
| 15 | |||
| 15 | |||
== Regular temperament properties == | == Regular temperament properties == | ||
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| 5.10 | | 5.10 | ||
|} | |} | ||
* 103et (103h val) has lower absolute errors than any smaller equal temperaments in the [[13-limit|13-]], [[17-limit|17-]], and [[19-limit]]s, being beaten by [[111edo|111]] in all of them. | |||
=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
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| [[Neptune]] | | [[Neptune]] | ||
|} | |} | ||
<nowiki/>* [[Normal | <nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | ||
== Music == | == Music == | ||