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| == Overview ==
| | {{Infobox interval |
| 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.
| | | Monzo = -137 -34 0 68 |
| | | | Name = vermeil comma |
| It is best approximated by [[88edo|88EDO]], with 1 EDOstep = '''13.6364 ¢''' .{{Infobox Interval
| | | FJS name = - |
| | Monzo = [—136; -34; 0; 68⟩ | | | Color name = quinla-sequadzo 28th |
| | Cents = 13.6916104773216 | | | Calc = (49/48)^34/2 |
| | Name = Vermeil Comma | | | Comma = yes |
| | Calc = 2/(49/48)^34 | |
| }} | | }} |
| | The '''vermeil comma''', or systematically '''34-49/48-comma''' ({{monzo|legend=1| -136 -34 0 68 }}), is a [[small comma|small]] [[7-limit]] [[comma]] of about 13.7 [[cent]]s. It is the amount by which a stack of thirty-four [[49/48]]'s exceeds an [[2/1|octave]], 2/(49/48)<sup>34</sup>. |
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| === Approximating it with non-octave EDOs: === | | == Approximation == |
| The optimal EDO for approximating the Vermeil Comma would be calculated as follows:
| | This interval's size equals one step of 87.649…edo, so it is best approximated by [[88edo]], with 1\88 = 13.6364 cents. |
| N = 1200/13.691
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| N ≈ 87.649 EDO
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| 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.
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| That is,
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| 139ED3.002, which when rounded, gives us 139ED3.
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| Number of cents in a tritave: '''1200 * log2(3) = 1200 * 1.5849625007 ≈ 1901.955 cents'''
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| Number cents per step in 139ED3: 1901.955/139 ≈ 13.68313 cents
| | == Etymology == |
| | This comma was named by [[User:Perry.k|Perry.k]] in 2026. |
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| == Other Names ==
| | [[Category:Vermeil]] |
| In [[Kite's color notation|color notation]], its name would be: “ascending quinla-sequadzo 28th“
| | [[Category:Commas with unknown etymology]] |