Vermeil comma - Revision history

FloraC: Text replacement - "octave" to "octave"

2026-07-14T14:15:24Z

Text replacement - "octave" to "octave"

← Older revision		Revision as of 14:15, 14 July 2026
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	\| Comma = yes		\| Comma = yes
	}}		}}
	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>.		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 [[octave]], 2/(49/48)<sup>34</sup>.

	== Approximation ==		== Approximation ==

Overthink: + comma parameter in infobox

2026-05-25T02:47:43Z

+ comma parameter in infobox

← Older revision		Revision as of 02:47, 25 May 2026
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	\| Color name = quinla-sequadzo 28th		\| Color name = quinla-sequadzo 28th
	\| Calc = (49/48)^34/2		\| Calc = (49/48)^34/2
			\| Comma = yes
	}}		}}
	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>.		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>.

FloraC: FloraC moved page Vermeil Comma to Vermeil comma without leaving a redirect: Sentence case

2026-03-08T08:28:51Z

FloraC moved page Vermeil Comma to Vermeil comma without leaving a redirect: Sentence case

← Older revision	Revision as of 08:28, 8 March 2026
(No difference)

FloraC: Review

2026-03-08T08:28:32Z

Review

← Older revision		Revision as of 08:28, 8 March 2026
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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~~
	\| 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>.

	==~~= 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~~

	~~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~~		== Etymology ==
			This comma was named by [[User:Perry.k\|Perry.k]] in 2026.

	~~== Other Names ==~~		[[Category:Vermeil]]
	In [[~~Kite's color notation\|color notation~~]]~~, its name would be: “ascending quinla-sequadzo 28th“~~		[[Category:Commas with unknown etymology]]

Perry.k: Calculations

2026-03-07T21:31:27Z

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.
-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
 | Monzo = [—136; -34; 0; 68⟩
 | Cents = 13.6916104773216
@@ Line 11: / Line 8: @@
 | Calc = 2/(49/48)^34
 }}
 In [[Kite's color notation|color notation]], its name would be: “ascending quinla-sequadzo 28th“

Perry.k: values

2026-03-07T20:50:27Z

values

← Older revision		Revision as of 20:50, 7 March 2026
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	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 [[~~44edo~~\|~~44EDO~~]], with 1 EDOstep = 13.~~581c~~.		It is best approximated by [[88edo\|88EDO]], with 1 EDOstep = '''13.6364 ¢''' .

	== Other Names ==		== Other Names ==

Perry.k at 20:35, 7 March 2026

2026-03-07T20:35:12Z

← Older revision		Revision as of 20:35, 7 March 2026
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	It is best approximated by [[44edo\|44EDO]], with 1 EDOstep = 13.581c.		It is best approximated by [[44edo\|44EDO]], with 1 EDOstep = 13.581c.

			== Other Names ==
	{{Infobox Interval		{{Infobox Interval
	\| Monzo = [—136; -34; 0; 68⟩		\| Monzo = [—136; -34; 0; 68⟩
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	\| Calc = 2/(49/48)^34		\| Calc = 2/(49/48)^34
	}}		}}
			In [[Kite's color notation\|color notation]], its name would be: “ascending quinla-sequadzo 28th“

Perry.k at 20:30, 7 March 2026

2026-03-07T20:30:56Z

← Older revision		Revision as of 20:30, 7 March 2026
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	It is best approximated by [[44edo\|44EDO]], with 1 EDOstep = 13.581c.		It is best approximated by [[44edo\|44EDO]], with 1 EDOstep = 13.581c.

			{{Infobox Interval
			\| Monzo = [—136; -34; 0; 68⟩
			\| Cents = 13.6916104773216
			\| Name = Vermeil Comma
			\| Calc = 2/(49/48)^34
			}}

Perry.k: I created the page and included my research

2026-03-07T20:26:45Z

I created the page and included my research

New page

== Overview ==
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 [[44edo|44EDO]], with 1 EDOstep = 13.581c.