Vermeil comma: Difference between revisions
m values |
Calculations |
||
| Line 2: | Line 2: | ||
The Vermeil comma ([[Monzo]]: [—136; -34; 0; 68⟩), is an interval of 13.691 cents which is the amount by which thirty-four 49/48’s exceed an octave, (2/(49/48)^34). It is a [[7-limit]] small comma. | The Vermeil comma ([[Monzo]]: [—136; -34; 0; 68⟩), is an interval of 13.691 cents which is the amount by which thirty-four 49/48’s exceed an octave, (2/(49/48)^34). It is a [[7-limit]] small comma. | ||
It is best approximated by [[88edo|88EDO]], with 1 EDOstep = '''13.6364 ¢''' . | It is best approximated by [[88edo|88EDO]], with 1 EDOstep = '''13.6364 ¢''' .{{Infobox Interval | ||
{{Infobox Interval | |||
| Monzo = [—136; -34; 0; 68⟩ | | Monzo = [—136; -34; 0; 68⟩ | ||
| Cents = 13.6916104773216 | | Cents = 13.6916104773216 | ||
| Line 11: | Line 8: | ||
| Calc = 2/(49/48)^34 | | Calc = 2/(49/48)^34 | ||
}} | }} | ||
=== Approximating it with non-octave EDOs: === | |||
The optimal EDO for approximating the Vermeil Comma would be calculated as follows: | |||
N = 1200/13.691 | |||
N ≈ 87.649 EDO | |||
However, if we actually wanted to get the closest non-decimal tuning system for approximating the Vermeil Comma, we would need to find the correlated EDn (Equal division of the nth harmonic), with an integer as the number of divisions. | |||
That is, | |||
139ED3.002, which when rounded, gives us 139ED3. | |||
Number of cents in a tritave: '''1200 * log2(3) = 1200 * 1.5849625007 ≈ 1901.955 cents''' | |||
Number cents per step in 139ED3: 1901.955/139 ≈ 13.68313 cents | |||
== Other Names == | |||
In [[Kite's color notation|color notation]], its name would be: “ascending quinla-sequadzo 28th“ | In [[Kite's color notation|color notation]], its name would be: “ascending quinla-sequadzo 28th“ | ||