46edo: Difference between revisions
Cmloegcmluin (talk | contribs) link to new page for Supports |
Infobox precision, renew template for prime error table, make JI approximation table collapsed |
||
| Line 1: | Line 1: | ||
{{Infobox ET | {{Infobox ET | ||
| Prime factorization = 2 × 23 | | Prime factorization = 2 × 23 | ||
| Step size = 26. | | Step size = 26.0870¢ | ||
| Fifth = 27\46 ( | | Fifth = 27\46 (704.3¢) | ||
| Major 2nd = 8\46 ( | | Major 2nd = 8\46 (208.7¢) | ||
| Semitones = 5:3 ( | | Semitones = 5:3 (130.4¢ : 78.3¢) | ||
| Consistency = 13 | | Consistency = 13 | ||
| Monotonicity = 17 | | Monotonicity = 17 | ||
}} | }} | ||
The '''46 equal divisions of the octave''' ('''46edo'''), or the '''46(-tone) equal temperament''' ('''46tet''', '''46et''') when viewed from a [[regular temperament]] perspective, is the tuning system derived by dividing the [[octave]] into 46 [[equal]]ly-sized steps. Each step has a size of about 26.1 [[cent]]s, an interval close in size to [[66/65]], the interval from [[13/11]] to [[6/5]]. | The '''46 equal divisions of the octave''' ('''46edo'''), or the '''46(-tone) equal temperament''' ('''46tet''', '''46et''') when viewed from a [[regular temperament]] perspective, is the tuning system derived by dividing the [[octave]] into 46 [[equal]]ly-sized steps. Each step has a size of about 26.1 [[cent]]s, an interval close in size to [[66/65]], the interval from [[13/11]] to [[6/5]]. | ||
| Line 21: | Line 20: | ||
=== Prime harmonics === | === Prime harmonics === | ||
{{ | {{Harmonics in equal|46}} | ||
== Intervals == | == Intervals == | ||
{| class="wikitable center-all right-2 left-3 left-4" | {| class="wikitable center-all right-2 left-3 left-4" | ||
|- | |- | ||
| Line 518: | Line 516: | ||
=== 15-odd-limit interval mappings === | === 15-odd-limit interval mappings === | ||
The following table shows how [[15-odd-limit intervals]] are represented in 46edo. Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''. | The following table shows how [[15-odd-limit intervals]] are represented in 46edo. Prime harmonics are in '''bold'''; inconsistent intervals are in ''italic''. | ||
{| class="wikitable center-all" | {| class="wikitable center-all mw-collapsible mw-collapsed" | ||
|+Direct mapping (even if inconsistent) | |+style=white-space:nowrap| Direct mapping (even if inconsistent) | ||
|- | |- | ||
! Interval, complement | ! Interval, complement | ||