11:14:17:20: Difference between revisions

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=== 2.5/3.7/3.11/3.13/3.17/3 ===
=== 2.5/3.7/3.11/3.13/3.17/3 ===
[https://sintel.pythonanywhere.com/result?subgroup=2.5%2F3.7%2F3.11%2F3.13%2F3.17%2F3&reduce=on&weights=weil&target=&edos=&commas=%5B-5+0+1+-10+0+9%5D%0D%0A%5B-2+1+0+-6+0+5%5D%0D%0A%5B-2+1+0+-2+0+2%5D%0D%0A%5B-4+0+0+-3+1+3%5D&submit_comma=submit]
[https://sintel.pythonanywhere.com/result?subgroup=2.5%2F3.7%2F3.11%2F3.13%2F3.17%2F3&reduce=on&weights=weil&target=&edos=&commas=%5B-5+0+1+-10+0+9%5D%0D%0A%5B-2+1+0+-6+0+5%5D%0D%0A%5B-2+1+0+-2+0+2%5D%0D%0A%5B-4+0+0+-3+1+3%5D&submit_comma=submit]
== Non-over-1 greenwood ==
[[Subgroup]]: 2.7/5.11/5.17/5
[https://sintel.pythonanywhere.com/result?subgroup=2.7%2F5.11%2F5.17%2F5&reduce=on&weights=weil&target=&edos=14%2635&submit_edo=submit&commas=]


== See also ==
== See also ==

Revision as of 14:11, 17 December 2024

Chord information
Harmonics 11:14:17:20
Intervals from root 1/114/1117/1120/11
Cents from root 418¢754¢1035¢
Step intervals 14/11, 17/14, 20/17
Step cents 418¢, 336¢, 281¢
Prime limit 17
Genus 571117 (6545)
Intervallic odd limit 17
Otonal odd limit 17
Utonal odd limit 1309
Consistent edos (d ≥ 2) 8edo*, 29edo*, 35edo*, 43edo*, …

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.

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

(19p&8d)
(19p&16, weak extension)

2.5/3.7/3.11/3

2.5/3.7/3.11/3.13/3

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

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