21/17: Difference between revisions

Interval information
Ratio	21/17
Factorization	3 × 7 × 17-1
Monzo	[0 1 0 1 0 0 -1⟩
Size in cents	365.8255¢
Name	septendecimal submajor third
Color name	17uz3, suzo 3rd
FJS name	[math]\displaystyle{ \text{M3}^{7}_{17} }[/math]
Special properties	reduced
Tenney norm (log2 nd)	8.47978
Weil norm (log2 max(n, d))	8.78463
Wilson norm (sopfr(nd))	27
	https://en.xen.wiki/w/File:Jid_21_17_pluck_adu_dr220.mp3; [sound info]
	Open this interval in xen-calc

Latest revision as of 13:17, 3 November 2025

21/17 is the septendecimal submajor third. It is well represented in 23edo and 36edo.

Edo approximations for 21/17 (365.83 ¢)
*≤ 80edo, relative error ≤ 10%*
Edo	Step size	Cents (¢)	Absolute error (¢)	Relative error (%)
3	1\3	400.00	+34.17	+8.54
10	3\10	360.00	-5.83	-4.85
13	4\13	369.23	+3.41	+3.69
20	6\20	360.00	-5.83	-9.71
23	7\23	365.22	-0.61	-1.17
26	8\26	369.23	+3.41	+7.38
33	10\33	363.64	-2.19	-6.02
36	11\36	366.67	+0.84	+2.52
46	14\46	365.22	-0.61	-2.33
49	15\49	367.35	+1.52	+6.21
56	17\56	364.29	-1.54	-7.19
59	18\59	366.10	+0.28	+1.36
62	19\62	367.74	+1.92	+9.90
69	21\69	365.22	-0.61	-3.50
72	22\72	366.67	+0.84	+5.05
79	24\79	364.56	-1.27	-8.35

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Ratio = 21/17
-| Monzo = 0 1 0 1 0 0 -1
-| Cents = 365.82550
 | Name = septendecimal submajor third
-| Color name =
+| Color name = 17uz3, suzo 3rd
-| FJS name = M3<sup>7</sup><sub>17</sub>
 | Sound = jid_21_17_pluck_adu_dr220.mp3
 }}
-'''21/17''' is the '''septendecimal submajor third'''. It is well represented in [[36edo]].
+'''21/17''' is the '''septendecimal submajor third'''. It is well represented in [[23edo]] and [[36edo]].
+== Approximation ==
+{{Interval edo approximation|21/17}}
 == See also ==
 * [[34/21]] – its [[octave complement]]
@@ Line 16: / Line 13: @@
 * [[Gallery of just intervals]]
-[[Category:17-limit]]
 [[Category:Third]]
 [[Category:Submajor third]]
-{{todo|expand|add color name}}