Xenharmonic Wiki

BudjarnLambeth

Joined 22 July 2022
Revision as of 07:07, 10 November 2024 by BudjarnLambeth (talk | contribs) (→Random stuff I’d like to share)

Not to be confused with lambeth chords nor 1573/1568, the lambeth comma. Those are unrelated to me.

Personal information



Music

My three favourite tracks I have made:


YouTube discography:

https://youtube.com/playlist?list=PLVHnByvMeRTohfmDPkc0EfOByWaX4xXAF


Bandcamp discography:

https://budjarnlambeth.bandcamp.com/


Most tracks on Bandcamp have not yet been uploaded to YouTube and vice versa.



My favourite microtonal composers




Wiki contributions

Discoveries

Invented approaches to constructing tunings

Invented approaches to classifying tunings

Invented equal step tunings

Invented scales

Invented regular temperaments



Improvements

Significant page creations

Bulk page improvements

Comma documentation and organisation

  • Added all missing commas from “Category:Large commas” to the table on the page “Large commas”
  • Added all missing commas from “Category:Medium commas” to the table on the page “Medium commas”
  • Added all missing commas from “Category:Small commas” to the table on the page “Small comma”
  • Added all missing commas from “Category:Unnoticeable commas” to the table on the page “Unnoticeable commas”
  • Constructed “Category:Commas by name” and its many subcategories
  • Categorised all 5, 7, 11, 13, 17, 19, 23 and >23 limit large commas into ’Commas by name’ subcategories
  • Categorised all 5, 7, 11, 13, 17, 19, 23 and >23 limit medium commas into ’Commas by name’ subcategories
  • Categorised all 5, 7 and 11 limit small commas into ’Commas by name’ subcategories
  • Categorised all 5, 7, 11 and 13 limit medium commas into ’Commas by name’ subcategories

Name changes I was involved in

  • There was an old temperament that pre-dated my participation in the wiki. Its old, original name was “septimal temperament”. When I discovered the name, I disliked it because of its potential for confusion with other uses of the term “septimal”. I decided I wanted to change it. Many people on Discord, the Wiki Workgroup on XA Facebook, and the wiki talk page agreed. I coined the new name “austinpowers temperament” which has now replaced it.
  • There was an old temperament that pre-dated my participation in the wiki. Its old, original name was “catcall temperament”. When I discovered the name, I disliked it because it was creepy. I decided I wanted to change it. Many people on Discord and on the wiki talk page agreed. I coined the new name “catnip temperament” which has now replaced it.
  • There was an old comma that pre-dated my participation in the wiki. Its old, original name was “the erogluisma”. Its original namer posted on Discord that he no longer liked it, and would like someone to please rename it. I coined the new name “the shaftesburisma” which has now replaced it.
  • Someone else described a new comma and named it “the shikanokonokonokokoshitantanma”. This name was kept, but it was too long for some use cases, so I invented an alternate short version - “the nokotan” - for use cases where a shorter name is needed.
  • The comma “68630377364883 / 68630356164608” was too long to be referred to by its number alone, it needed a name instead. So I named it “the zudilisma”.



Full list of contributions

(To-do)

Things I plan to do on the wiki in the near future:

  • Categorise all 13, 17, 19, 23 and >23 limit small commas into ’Commas by name’ subcategories
  • Categorise all 17, 19, 23 and >23 limit unnoticeable commas into ’Commas by name’ subcategories
  • Continue to build Systematic comma names explained
  • Answer all the outstanding FAQ questions, and ask and answer some new ones too, to make the FAQ more complete and up to par with the rest of the wiki.
  • Clean up my 5- to 10-tone scales pages. In particular, change the scales to be in the more compact format that is used on edo pages.



Random stuff I’d like to share

Hot takes

  • This: User:BudjarnLambeth/Cultural appropriation-o-meter
  • We all take ourselves too seriously and should have a little more fun
  • Most of the ‘mathematically optimal’ things in music tuning have already been found, so when making new discoveries now, it’s more important to find something that sounds new or interesting or has some quirky story behind it, than it is to find the most mathematically optimal thing
  • I would prefer to use a temperament named something fun like “waterslide” or “jinglebells” even if it has lots of error, over one named something dry and bland like “triglycerohexakleismatic” even if it’s super accurate and technically better; names matter a lot to me




Ratios as planets

The ratios of the octave as celestial bodies of the solar system:

  • 2/1, the sun, defining the overall structure of the entire octave.
  • 3/2, Jupiter, the biggest pull aside from the sun itself. Marks out a rough middle of the solar system.
  • 4/3, Saturn, a kind of echo of Jupiter. Vast and mighty in its own right, similar to Jupiter, but colder and subtler.
  • 5/3, Uranus, has a strong enough pull to be one of the big guys, but markedly smaller than Jupiter and Saturn. Has a gentle appearance.
  • 5/4, Neptune, the last of the giant planets, with their huge gravitational pull. Has an energetic, lively surface with the fastest winds in the solar system. Defines the boundary of the Kuiper Belt (like the boundary of major and minor tonality).
  • 6/5, Earth, a small planet that punches above its weight. It manages to hold an unreasonably large moon, given the small gravitational influence it has. It even developed life and sent probes to explore the other planets. It has far more influence than it seems like it should.
  • 7/4, Venus, a kind of parallel version of Earth. Its diameter and gravitational pull are almost identical to Earth, but its character is completely different. Home to a completely different temperature, chemical composition and volcanic system.
  • 7/5, Mars, appears barren and frozen upon first glance, but looking closer reveals a rich and storied history, and potential wonders and microcosms hidden in its underground caves.
  • 8/5, Mercury. Caught in a region of the solar system so wild that much of its mass has been stripped away by the solar wind while it was still forming. Still, it holds firm, a foothold in difficult territory.
  • 7/6, the moon. Caught in Earth’s orbit, it’s difficult to view separately from the Earth’s influence. If the Earth wasn’t there, it’d be a whole planet in its own right.
  • 9/5, Ceres. It doesn’t pull much weight on its own, but in the context of the wider solar system, it demarcates an important in-between point for the other planets. If you want to travel between the different planets, Ceres makes the journey much more pleasant.
  • 11/8, Pluto, often dismissed outright due to having such a tiny gravitational pull. But it is a whole other type of ‘planet’, the first of a whole new family. When approached on its own terms, it opens up a larger, more diverse solar system than we ever knew existed.



Interpreting 12edo as a 2.3.5.17.19 system

——Intervals

0c

1:1


100c

20:19, 19:18, 18:17, 17:16, 16:15


200c

10:9, 19:17, 9:8, 17:15


300c

20:17, 32:27, 19:16, 6:5


400c

5:4, 34:27, 24:19, 19:15


500c

4:3, 27:20


600c

24:17, 17:12, 27:19


700c

3:2


800c

30:19, 19:12, 27:17, 8:5


900c

5:3, 32:19, 27:16, 17:10


1000c

30:17, 16:9, 9:5


1100c

15:8, 32:17, 17:9, 36:19, 19:10

——Chords

These chords work particularly well if you drop the root note down an octave, better mimicking the shape of the harmonic series.

(e.g you can play "chord 0-15-19-20-21-22-23" instead of "chord 0-3-7-8-9-10-11")


Chord 0-3-8-10

5:6:8:9


Chord 0-5-7-9

6:8:9:10


Chord 0-2-4-7-11

8:9:10:12:15


Chord 0-2-5-10-11

9:10:12:16:17


Chord 0-3-7-8-9-10-11

10:12:15:16:17:18:19


Chord 0-4-5-6-7-8-9

12:15:16:17:18:19:20


Chord 0-1-2-3-4-5-8-10

15:16:17:18:19:20:24:27


Chord 0-1-2-3-4-7-11

16:17:18:19:20:24:30


Chord 0-1-2-3-6-8-10-11

17:18:19:20:24:27:30:32


Chord 0-1-2-5-7-9-10-11

18:19:20:24:27:30:32:34


Chord 0-1-4-6-8-9-11

19:20:24:27:30:32:36


Chord 0-3-4-5-7-8-9-10-11

20:24:25:27:30:32:34:36:38


Integer commas

All commas with numerator less than 5 digits, and prime limit 97 or lower, which are within 0.01 cents of a round-number cents value from 1 to 210:


UNNOTICEABLE

  • 2888/2883 = 31lim 3c


SMALL

  • 1040/1037 = 61lim 5c
  • 289/288 = 17lim 6c
  • 248/247 = 31lim 7c
  • 217/216 = 31lim 8c
  • 1350/1343 = 79lim 9c
  • 1275/1264 = 79lim 15c
  • 290/287 = 41lim 18c
  • 396/391 = 23lim 22c
  • 279/275 = 31lim 25c
  • 323/318 = 53lim 27c
  • 187/184 = 23lim 28c
  • 301/296 = 43lim 29c


MEDIUM

  • 169/166 = 83lim 31c
  • 1296/1273 = 67lim 31c
  • 273/268 = 67lim 32c
  • 1430/1403 = 61lim 33c
  • 1449/1420 = 71lim 35c
  • 243/238 = 17lim 36c
  • 1007/948 = 53lim 40c
  • 470/459 = 47lim 41c
  • 292/285 = 73lim 42c
  • 6300/6149 = 43lim 42c
  • 693/676 = 13lim 43c
  • 6889/6720 = 83lim 43c
  • 279/272 = 31lim 44c
  • 267/260 = 89lim 46c
  • 20213/19683 = 41lim 46c
  • 256/249 = 83lim 48c
  • 215/209 = 43lim 49c
  • 6358/6177 = 71lim 50c
  • 310/301 = 43lim 51c
  • 999/970 = 97lim 51c
  • 169/164 = 41lim 52c
  • 377/365 = 73lim 56c
  • 2482/2403 = 89lim 56c
  • 14110/13653 = 83lim 57c
  • 388/375 = 97lim 59c
  • 675/649 = 59lim 68c
  • 224/215 = 43lim 71c
  • 2862/2747 = 67lim 71c
  • 270/259 = 37lim 72c
  • 1769/1694 = 61lim 75c
  • 155/148 = 37lim 80c
  • 1247/1190 = 43lim 81c
  • 235/224 = 47lim 83c
  • 815/775 = 37lim 85c
  • 533/506 = 41lim 90c
  • 1520/1443 = 37lim 90c
  • 332/315 = 83lim 91c
  • 1140/1081 = 47lim 92c
  • 8723/8262 = 61lim 94c
  • 2135/2021 = 61lim 95c
  • 312/295 = 59lim 97c
  • 2231/2107 = 97lim 99c
  • 196/185 = 37lim 100c


LARGE

  • 847/799 = 47lim 101c
  • 343/323 = 19lim 104c
  • 666/625 = 37lim 110c
  • 364/341 = 31lim 113c
  • 1435/1342 = 61lim 116c
  • 658/615 = 47lim 117c
  • 3071/2867 = 83lim 119c
  • 224/209 = 19lim 120c
  • 237/221 = 79lim 121c
  • 338/315 = 13lim 122c
  • 1984/1849 = 43lim 122c
  • 1079/1005 = 83lim 123c
  • 2610/2431 = 29lim 123c
  • 5125/4757 = 71lim 129c
  • 9317/8643 = 67lim 130c
  • 1825/1692 = 73lim 131c
  • 725/671 = 61lim 134c
  • 225/208 = 13lim 136c
  • 1681/1554 = 41lim 136c
  • 92/85 = 23lim 137c
  • 605/558 = 31lim 140c
  • 800/737 = 67lim 142c
  • 391/360 = 23lim 143c
  • 555/511 = 73lim 143c
  • 946/871 = 67lim 143c
  • 213/196 = 71lim 144c
  • 915/841 = 61lim 146c
  • 476/437 = 23lim 148c
  • 2626/2409 = 73lim 148c
  • 1736/1591 = 43lim 151c
  • 345/316 = 79lim 152c
  • 441/403 = 31lim 156c
  • 259/236 = 59lim 161c
  • 12826/11687 = 53lim 161c
  • 343/312 = 13lim 164c
  • 11/10 = 11lim 165c
  • 175/159 = 53lim 166c
  • 1739/1580 = 79lim 166c
  • 87/79 = 79lim 167c
  • 1157/1050 = 89lim 168c
  • 645/584 = 73lim 172c
  • 1020/923 = 71lim 173c
  • 7000/6327 = 37lim 175c
  • 1769/1598 = 61lim 176c
  • 50344/45425 = 79lim 178c
  • 621/590 = 23lim 179c
  • 319/287 = 41lim 183c
  • 648/583 = 53lim 183c
  • 148/133 = 37lim 185c
  • 481/432 = 37lim 186c
  • 589/529 = 31lim 186c
  • 826/741 = 59lim 188c
  • 279/250 = 31lim 190c
  • 455/407 = 37lim 193c
  • 2613/2336 = 73lim 194c
  • 291/260 = 97lim 195c
  • 3692/3293 = 89lim 198c
  • 7215/6413 = 53lim 204c
  • 517/459 = 47lim 206c
  • 5491/4875 = 19lim 206c
  • 630/559 = 43lim 207c
  • 53/47 = 53lim 208c
  • 534/473 = 89lim 210c
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