11:14:17:20

Chord information

Harmonics	11:14:17:20
Intervals from root	1/1 – 14/11 – 17/11 – 20/11
Cents from root	0¢ 418¢ 754¢ 1035¢
Step intervals	14/11, 17/14, 20/17
Step cents	418¢, 336¢, 281¢
Prime limit	17
Genus	5 ⋅ 7 ⋅ 11 ⋅ 17 (6545)
Intervallic odd limit	17
Otonal odd limit	17
Utonal odd limit	1309
Consistent edos (d ≥ 2)	8edo*, 29edo*, 35edo*, 43edo*, …
* 2 ≤ d < 4; ** 4 ≤ d < 8; *** 8 ≤ d < 16; …

11:14:17:20 is a 17-odd-limit isoharmonic chord.

It is playable on 8edo (8d val), 35edo, etc. In 17-limit sensis extension it is playable on 11-note MOS. Ultrasoft oneirotonic, which is the other side of 8edo, has less code complexity for 11:14:17:20, but the error of 17/11 is inevitably larger.

Temperaments

Non-over-1 sensis

Get rid of 3/2 and 5/4 etc. from sensis by non-over-1-ize.

Subgroup: 2.7/5.11/5.17/5

[1]

Prime subgroup extensions

See also: Sensis

(19p&8d)

See also: Muggles

(19p&16, weak extension)

2.5/3.7/3.11/3.13/3.17/3

[2]

Non-over-1 greenwood

Subgroup: 2.7/5.11/5.17/5

[3]

See also

• 10:12:14:17
• 5:8:11:14

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