Table of 5-limit commas: Difference between revisions

Revision as of 10:00, 13 June 2021

A 5-limit comma is the amount which separates m₁ fifths and m₂ thirds from n octaves. It is the simplest kind of comma a tuning may temper out.

Name(s)	Color Name		Ratio	Monzo	Cents
minor whole tone	yo comma	y2	10 / 9	[1 -2 1⟩	182.404
large limma acute diatonic semitone bug comma	gugu comma	gg2	27 / 25	[0 3 -2⟩	133.238
diatonic semitone father comma	gubi comma	g2	16 / 15	[4 -1 -1⟩	111.731
major limma mavila comma pelogic coma	layobi comma	Ly1	135 / 128	[-7 3 1⟩	92.179
quasisuper comma	sasagu comma	ssg3	8388608 / 7971615	[23 -13 -1⟩	88.271
chromatic semitone dicot comma	yoyo comma	yy1	25 / 24	[-3 -1 2⟩	70.672
superpyth comma	sayo comma	sy2	20480 / 19683	[12 -9 1⟩	68.719
12&163 comma	quadlagu comma	L⁴g-3	22876792454961 / 21990232555520	[-42 28 -1⟩	68.426
leapday comma	trisayo comma	s³y3	10737418240 / 10460353203	[31 -21 1⟩	45.259
double large green comma	lalagu comma	LLg-2	43046721 / 41943040	[-23 16 -1⟩	44.966
diesis augmented comma	trigu comma	g³2	128 / 125	[7 0 -3⟩	41.059
gracecordial comma	trilayo comma	L³y-3	17433922005 / 17179869184	[-34 20 1⟩	25.414
kwai comma	quinsayo comma	s⁵y4	5629499534213120 / 5559060566555523	[50 -33 1⟩	21.799
syntonic comma meantone comma didymus comma	gu comma	g1	81 / 80	[4 -1 -1⟩	21.506
Diaschisma	sagugu comma	sgg2	2048 / 2025	[11 -4 -2⟩	19.553
Schisma	layo comma	Ly-2	32805 / 32768	[-15 8 1⟩	1.9537

@@ Line 36: / Line 36: @@
 | {{monzo| -7 3 1 }}
 | 92.179
+|-
+| [[Archytas clan #Quasisuper|quasisuper comma]]
+| sasagu comma
+| ssg3
+| 8388608 / 7971615
+| {{monzo| 23 -13 -1 }}
+| 88.271
 |-
 | [[25/24|chromatic semitone]]<br>[[Dicot family|dicot comma]]
@@ Line 78: / Line 85: @@
 | {{monzo| 7 0 -3 }}
 | 41.059
+|-
+| [[Marvel temperaments #Gracecordial|gracecordial comma]]
+| trilayo comma
+| L<sup>3</sup>y-3
+| 17433922005 / 17179869184
+| {{monzo| -34 20 1 }}
+| 25.414
 |-
 | [[Mirkwai clan #Kwai|kwai comma]]