Squib
Joined 25 April 2025
completely reorganized |
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hi im squib :) | |||
i think miracle temperament is the one that's worth investing a large portion of my time in, although i might dabble in other things sometimes | |||
i am currently working on figuring out how to use software to turn my ideas into actual music. | |||
my user subpages are listed here for my own reference | |||
{{Special:PrefixIndex/User:Squib/}} | |||
==things i want to do on this wiki== | |||
* create pages about my ideas | |||
** [[User:Squib/Equivalence is a construct]] | |||
[[ | ** [[User:Squib/Efficiency (comma metric)]] | ||
** [[User:Squib/2d MOS]] | |||
[[ | ** [[User:Squib/monzos with only ones]] (with a better title) (not exploring this anymore, mostly just want to document it) | ||
* miracle extensions | |||
** add extension info to pages about miracle | |||
[[ | *** [[rastmic rank-3 clan #mirage]] (including [[rastmic rank-3 clan #prism|#prism]]) | ||
*** [[miracle extensions]] (including the 31-limit manna extension) | |||
[[ | *** [[gamelismic clan #miracle]] | ||
** [[User:Squib/Miracle extensions and mirage]] | |||
[[ | ** dedicated page for [https://en.xen.wiki/index.php?title=Mirage&redirect=no mirage] | ||
* 5.7.11.13 (no-2 no-3 13-limit) | |||
[[ | ** [[5.7.11.13 subgroup]] | ||
** [[847/845]] | |||
[[ | ** [[10ed5]] | ||
** [[125/121]] | |||
[[ | ** [[175/169]] | ||
* misc | |||
[[ | ** [[superpyth]] (tritave-equivalent) | ||
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==some things i do not like about the wiki== | ==some things i do not like about the wiki== | ||
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* Period equivalence is assumed ''everywhere''. 5/2 and 5/4 are the same as much as 9/8 and 10/9 are; treating them identically can be useful in certain contexts, but they are not fundamentally the same thing. In a space dedicated to exploring new tuning and music, it is frankly ridiculous to make period equivalence one of the fundamental assumptions you build your theory and terminology on. To be clear, I don't have an issue with the concepts of periods or equivalence, nor am I denying their usefulness. I have an issue with the Xenharmonic Wiki (of all places) assuming that these things ''must'' exist in ''every'' musical context. | * Period equivalence is assumed ''everywhere''. 5/2 and 5/4 are the same as much as 9/8 and 10/9 are; treating them identically can be useful in certain contexts, but they are not fundamentally the same thing. In a space dedicated to exploring new tuning and music, it is frankly ridiculous to make period equivalence one of the fundamental assumptions you build your theory and terminology on. To be clear, I don't have an issue with the concepts of periods or equivalence, nor am I denying their usefulness. I have an issue with the Xenharmonic Wiki (of all places) assuming that these things ''must'' exist in ''every'' musical context. | ||
** [[Cuthbert chords]] is a page about the chords enabled by tempering out [[847/845]], a comma in the [[5.7.11.13 subgroup]]. Why are we talking about the 2.5.7.11.13 subgroup? ''What is prime 2 doing here??'' | ** [[Cuthbert chords]] is a page about the chords enabled by tempering out [[847/845]], a comma in the [[5.7.11.13 subgroup]]. Why are we talking about the 2.5.7.11.13 subgroup? ''What is prime 2 doing here??'' | ||
==Random stuff== | ==Random stuff that i don't have the heart to delete yet== | ||
===No-twos commas=== | ===No-twos commas=== | ||
[[245/243]] | [[245/243]] | ||
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[[128/125]], [[10985/10976]], [[85184/85169]], [[327701/327680]], [[896000/895973]]... | [[128/125]], [[10985/10976]], [[85184/85169]], [[327701/327680]], [[896000/895973]]... | ||
===random commas to make pages for maybe=== | |||
[[13013/13005]] | |||
[[104976/104975]] (s324) | |||
[[364/361]] | |||
[[1403830272/1403737447]] (equidistance 715/714, 833/832, 936/935) | |||
[[21736/21735]] | |||
[[117/115]] | |||
====5.7.11.13 subgroup=== | |||
[[343/325]] | |||
[[637/625]] | |||
[[15625/15488]] | |||
[[17303/16807]] | |||
[[78125/77077]] | |||
[[831875/823543]] | |||
[[2941225/2924207]] | |||
[[27217619/26796875]] | |||
[[49098049/48828125]] | |||
[[236513641/236328125]] | |||
=====higher-limit no-2 no-3===== | |||
[[121/119]] | |||
[[325/323]] (no-2 no-3, tempered out by 19-limit mirage) (210/209 * 715/714) (273/272 * 400/399) (286/285 * 375/374) (325/324 * 324/323) | |||
[[1830125/1830101]] (!!) | |||
===structurally important edos=== | ===structurally important edos=== | ||
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23-limit 24 & 34: 24 & 34 & 41(g), 24 & 34 & 53, 24 & 34 & 94, 24 & 34 & 217 | 23-limit 24 & 34: 24 & 34 & 41(g), 24 & 34 & 53, 24 & 34 & 94, 24 & 34 & 217 | ||
==Intervals with monzos containing only ones== | ==Intervals with monzos containing only ones== | ||
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|[[34/31]], [[65/62]], [[406/403]], [[437/434]], [[10013/10010]] | |[[34/31]], [[65/62]], [[406/403]], [[437/434]], [[10013/10010]] | ||
|} | |} | ||
===strong temperaments by rank=== | |||
temperaments that are strong extensions of all of their restrictions | |||
====rank-1==== | |||
every prime is mapped to 1 step (or -1 step) | |||
====rank-2==== | |||
max 3 primes, 1 comma. equates one prime with the product of the other two (or tempers the product of all three). examples: 14/13, 23/21, 165/1 | |||
====rank-3==== | |||
max 4 primes 1 comma, although i'm not confident about that. examples: 31/30, 145/143 | |||
====rank-4==== | |||
5 primes 1 comma: 406/403, 494/493, 667/665 | |||
6 primes 2 commas: uh oh i think it might just be 1 comma max for all the ranks | |||