User:Squib: Difference between revisions
Tags: Mobile edit Mobile web edit Advanced mobile edit |
Tags: Mobile edit Mobile web edit Advanced mobile edit |
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| Line 12: | Line 12: | ||
===No-twos commas=== | ===No-twos commas=== | ||
[[245/243]] | [[245/243]] | ||
====here's a family of them==== | |||
S(4n-1)/S(4n+1) | |||
[[27/25]], [[245/243]], [[847/845]], [[2025/2023]], [[3971/3969]], [[6877/6875]], [[10935/10933]], [[16337/16335]], [[23275/23273]], [[31941/31939]], [[42527/42525]], [[55225/55223]], [[70227/70225]], [[87725/87723]], [[107911/107909]], [[130977/130975]], [[157115/157113]], [[186517/186515]], [[219375/219373]], [[255881/255879]]... | |||
===No-threes commas=== | ===No-threes commas=== | ||
[[176/175]] | [[176/175]] | ||
Revision as of 08:05, 9 January 2026
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Todo: short bio thingy, add more todos |
- Squib/Drafts
- Squib/Drafts/10ed5
- Squib/Drafts/1830125∕1830101
- Squib/Drafts/5.7.11.13 subgroup
- Squib/Drafts/75803∕75625
- Squib/Drafts/847∕845
- Squib/Drafts/Miracle extensions and mirage
- Squib/List of edos sorted by accuracy of the perfect fifth
- Squib/List of tunings
- Squib/Simple rank-2 temperaments by subgroup
- Squib/Theory
- Squib/Todo
- Squib/Unnamed music theory
- Squib/sandbox
list of things i do not like about the wiki
this list is here because listing all the things i do like would take too long.
- things on here can be very hard to understand. this is not controversial.
- It's hard to find a page you're looking for even if you know what it's about, but especially if you don't know whether such a page exists in the first place. Important pages for starters should be accessible by following links from the main page. In particular, I'd like a "bird's eye view of bird's eye view pages" page to be linked on the main page.
- Octave equivalence is assumed everywhere. 5/2 and 5/4 are the same as much as 9/8 and 10/9 are the same; treating them the same can be useful in certain contexts, but they are not fundamentally the same thing. And in a space dedicated to exploring new tuning and music, it is very silly and annoying to constantly assume octaves essentially don't matter. (Tritave equivalence isn't a solution, it just moves the problem. I think every pitch should be considered its own thing.)
Random stuff
No-twos commas
here's a family of them
S(4n-1)/S(4n+1)
27/25, 245/243, 847/845, 2025/2023, 3971/3969, 6877/6875, 10935/10933, 16337/16335, 23275/23273, 31941/31939, 42527/42525, 55225/55223, 70227/70225, 87725/87723, 107911/107909, 130977/130975, 157115/157113, 186517/186515, 219375/219373, 255881/255879...
No-threes commas
176/175 245/242 1001/1000 6656/6655 170/169 221/220 2200/2197 833/832
19-limit
209/208 476/475 1331/1330 1445/1444 2432/2431 6860/6859 10241/10240
here's a family of them
S(9n-5)/S(9n-4)
128/125, 10985/10976, 85184/85169, 327701/327680, 896000/895973...
list of interesting edos
19 22 31 34 41 46 53 58 72 87
159 171 205
list of detemperaments
7-limit edos
12: septimal meantone, garibaldi, septimal compton, misty, term, (12 & 270), 12 & 612
19: septimal meantone, sensi, kleismic, parakleismic, enneadecal, (19 & 270), 19 & 2859bcddd (splits 140/1 in 135 parts)
22: 22 & 118, 22 & 171
rank-twos
miracle: portent, canopus, freya, 31 & 41 & 278cd, ..., 31 & 41 & 994bbbccccddee
orwell: 22 & 31 & 311, 22 & 31 & 494
squares: jove, parimo + breedsma
23-limit 24 & 34: 24 & 34 & 41(g), 24 & 34 & 53, 24 & 34 & 94, 24 & 34 & 217
Intervals with monzos containing only ones
Superparticular intervals:
It is very likely that no other such superparticular intervals exist.
Smallest for each prime limit:
2: 2/1
3: 3/2
5: 6/5
7: 15/14
11: 55/42
13: 182/165
17: 715/714
19: 3135/3094
23: 15015/14858
29: 81345/79534
31: 448630/447051
37: 2733549/2714690
41: 17490603/17395070