3159811edo: Difference between revisions
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{{ | {{Mathematical interest}}{{clear}} | ||
{{Infobox ET|Consistency=65|Distinct consistency=65}} | {{Infobox ET|Consistency=65|Distinct consistency=65}} | ||
{{ED intro}} | {{ED intro}} | ||
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== Scales == | == Scales == | ||
=== Harmonic scales === | === Harmonic scales === | ||
3159811edo accurately approximates mode 32 of the [[harmonic series]]. Additionally, unlike in [[87edo]]'s approximation of mode 8 or [[311edo]]'s approximation of mode 16, all interval pairs are distinguished. | As mentioned, 3159811edo accurately approximates [[32afdo|mode 32]] of the [[harmonic series]]. Additionally, unlike in [[10edo]]'s approximation of [[4afdo|mode 4]], [[87edo]]'s approximation of [[8afdo|mode 8]], or [[311edo]]'s approximation of [[16afdo|mode 16]], all interval pairs are distinguished. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
| Line 40: | Line 40: | ||
| 5/4 | | 5/4 | ||
|- | |- | ||
! | ! …in cents | ||
| | | 0 | ||
| 53.273 | | 53.273 | ||
| 104.955 | | 104.955 | ||
| Line 85: | Line 85: | ||
| 3/2 | | 3/2 | ||
|- | |- | ||
! | ! …in cents | ||
| 429.062 | | 429.062 | ||
| 470.781 | | 470.781 | ||
| Line 128: | Line 128: | ||
| 7/4 | | 7/4 | ||
|- | |- | ||
! | ! …in cents | ||
| 737.652 | | 737.652 | ||
| 772.627 | | 772.627 | ||
| Line 171: | Line 171: | ||
| 2/1 | | 2/1 | ||
|- | |- | ||
! | ! …in cents | ||
| 999.468 | | 999.468 | ||
| 1029.577 | | 1029.577 | ||