742edo: Difference between revisions
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| Prime factorization = 2 × 7 × 53 | | Prime factorization = 2 × 7 × 53 | ||
| Step size = 1.61725¢ | | Step size = 1.61725¢ | ||
| Fifth = 434\742 (701. | | Fifth = 434\742 (701.89¢) (→ [[53edo|31\53]]) | ||
| Semitones = 70:56 (113. | | Semitones = 70:56 (113.21¢ : 90.57¢) | ||
| Consistency = 21 | | Consistency = 21 | ||
}} | }} | ||
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{{Harmonics in equal|742}} | {{Harmonics in equal|742}} | ||
== Regular temperament properties == | |||
=== Rank-2 temperaments === | |||
== Rank- | |||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
!Periods | ! Periods<br>per Octave | ||
per | ! Generator<br>(Reduced) | ||
!Generator | ! Cents<br>(Reduced) | ||
( | ! Associated<br>Ratio | ||
!Cents | ! Temperaments | ||
( | |||
!Associated | |||
!Temperaments | |||
|- | |- | ||
|1 | | 1 | ||
|137\742 | | 137\742 | ||
|221.563 | | 221.563 | ||
|8388608/7381125 | | 8388608/7381125 | ||
|Fortune | | [[Fortune]] | ||
|- | |- | ||
|2 | | 2 | ||
|44\742 | | 44\742 | ||
|71.159 | | 71.159 | ||
|25/24 | | 25/24 | ||
|Vishnu | | [[Vishnu]] | ||
|- | |- | ||
|14 | | 14 | ||
|434\ | | 434\742<br>(10\742) | ||
|701.886<br>(16.173) | | 701.886<br>(16.173) | ||
|3/2<br>(105/104) | | 3/2<br>(105/104) | ||
|Silicon | | [[Silicon]] | ||
|- | |- | ||
|53 | | 53 | ||
|565\742<br>(5\742) | | 565\742<br>(5\742) | ||
|913.746<br>(8.086) | | 913.746<br>(8.086) | ||
|441/260<br>(196/195) | | 441/260<br>(196/195) | ||
|Iodine | | [[Iodine]] | ||
|}<!-- 3-digit number --> | |} | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | |||
[[Category:Zeta]] | [[Category:Zeta]] | ||