11:14:17:20: Difference between revisions
Jump to navigation
Jump to search
Dummy index (talk | contribs) +non-over-1 greenwood |
Dummy index (talk | contribs) No edit summary |
||
| Line 3: | Line 3: | ||
'''11:14:17:20''' is a [[17-odd-limit]] [[isoharmonic chord]]. | '''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. | 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 [[Graham complexity|code complexity]] for 11:14:17:20, but the error of 17/11 is inevitably larger. | ||
== Non-over-1 sensis == | == Temperaments == | ||
=== Non-over-1 sensis === | |||
Get rid of 3/2 and 5/4 etc. from sensis by [[non-over-1 temperament|non-over-1]]-ize. | Get rid of 3/2 and 5/4 etc. from sensis by [[non-over-1 temperament|non-over-1]]-ize. | ||
| Line 12: | Line 13: | ||
[https://sintel.pythonanywhere.com/result?subgroup=2.7%2F5.11%2F5.17%2F5&reduce=on&weights=weil&target=&edos=&commas=%5B-5+1+-10+9%5D%0D%0A%5B-2+0+-6+5%5D%0D%0A&submit_comma=submit] | [https://sintel.pythonanywhere.com/result?subgroup=2.7%2F5.11%2F5.17%2F5&reduce=on&weights=weil&target=&edos=&commas=%5B-5+1+-10+9%5D%0D%0A%5B-2+0+-6+5%5D%0D%0A&submit_comma=submit] | ||
=== Prime subgroup extensions === | ==== Prime subgroup extensions ==== | ||
{{See also|Sensis}} (19p&8d) | {{See also|Sensis}} (19p&8d) | ||
{{See also|Muggles}} (19p&16, weak extension) | {{See also|Muggles}} (19p&16, weak extension) | ||
= | ==== 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 == | === Non-over-1 greenwood === | ||
[[Subgroup]]: 2.7/5.11/5.17/5 | [[Subgroup]]: 2.7/5.11/5.17/5 | ||
| Line 28: | Line 27: | ||
== See also == | == See also == | ||
* [[10:12:14:17]] | * [[10:12:14:17]] | ||
* [[5:8:11:14]] | |||
{{stub}} | {{stub}} | ||
Latest revision as of 13:51, 18 December 2024
| Chord information |
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
Prime subgroup extensions
- (19p&8d)
- (19p&16, weak extension)
2.5/3.7/3.11/3.13/3.17/3
Non-over-1 greenwood
Subgroup: 2.7/5.11/5.17/5
See also
|
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |