7edo: Difference between revisions
m Moving from Category:Edo to Category:Equal divisions of the octave using Cat-a-lot |
made the template, made the primes-error table |
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| ja = 7平均律 | | ja = 7平均律 | ||
}} | }} | ||
{{Infobox ET | |||
| Prime factorization = | |||
| Step size = 171.429¢ | |||
| Fifth type = 4\7 = 685.714¢ | |||
| Major 2nd = 1\7 = 171¢ | |||
| Minor 2nd = 1\7 = 171¢ | |||
| Augmented 1sn = 0\7 = 0¢ | |||
}} | |||
== Theory == | == Theory == | ||
{| class="wikitable" | |||
! colspan="2" | | |||
!prime 2 | |||
!prime 3 | |||
!prime 5 | |||
!prime 7 | |||
!prime 11 | |||
!prime 13 | |||
|- | |||
! rowspan="2" |error | |||
!absolute (¢) | |||
|0 | |||
| -16.24 | |||
| -43.5 | |||
|59.7 | |||
| -37.0 | |||
|16.6 | |||
|- | |||
![[Relative error|relative]] (%) | |||
|0 | |||
| -9 | |||
| -25 | |||
|35 | |||
| -22 | |||
|10 | |||
|- | |||
! colspan="2" |[[nearest edomapping]] | |||
|7 | |||
|4 | |||
|2 | |||
|6 | |||
|3 | |||
|5 | |||
|- | |||
! colspan="2" |[[fifthspan]] | |||
|0 | |||
| +1 | |||
| -3 | |||
| -2 | |||
| -1 | |||
| +3 | |||
|} | |||
'''7-edo''' or "Neutral diatonic" divides the 1200-cent [[octave]] into 7 equal parts, making its smallest interval [[cent|171.428¢]], or the seventh root of 2. It is the fourth [[prime numbers|prime]] edo, after [[2edo]], [[3edo]] and [[5edo]]. It is the third [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]]. | '''7-edo''' or "Neutral diatonic" divides the 1200-cent [[octave]] into 7 equal parts, making its smallest interval [[cent|171.428¢]], or the seventh root of 2. It is the fourth [[prime numbers|prime]] edo, after [[2edo]], [[3edo]] and [[5edo]]. It is the third [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta integral edo]]. | ||