497edo: 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}}
{{EDO intro|497}}
{{ED intro}}


== Theory ==
== Theory ==
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=== Subsets and supersets ===
=== Subsets and supersets ===
497 factors into 7 × 41, with [[7edo]] and [[41edo]] as its subset edos. [[1491edo]], which triples it, gives a good correction to harmonics 3 and 7.
497 factors into {{nowrap|7 × 71}}, with [[7edo]] and [[71edo]] as its subset edos. [[1491edo]], which triples it, gives a good correction to harmonics 3 and 7.


== Regular temperament properties ==
== Regular temperament properties ==
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| {{monzo| 788 -497 }}
| {{monzo| 788 -497 }}
| {{mapping| 497 788 }}
| {{mapping| 497 788 }}
| -0.2084
| −0.2084
| 0.2084
| 0.2084
| 8.63
| 8.63
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| {{monzo| 38 -2 -15 }}, {{monzo| 12 -31 16 }}
| {{monzo| 38 -2 -15 }}, {{monzo| 12 -31 16 }}
| {{mapping| 497 788 1154 }}
| {{mapping| 497 788 1154 }}
| -0.1396
| −0.1396
| 0.1961
| 0.1961
| 8.12
| 8.12
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| [[Luna]]
| [[Luna]]
|}
|}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
<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