User:BudjarnLambeth

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

Personal information



Music

My favourite tracks I have made:)

  1. 33edo track Feb 2024 (bright, lush, mellow and colourful synthwave)
  2. Recording in my "Rocket temperament" (melancholic, wistful dungeon synth; loosely inspired by Greystar)
  3. 60afdo track Dec 2024 (bright, spacious, slightly hypnotic dungeon synth; loosely inspired by Greystar)
  4. 43edo track Nov 2024 (dark dungeon synth; loosely inspired by Indonesian gamelan music)
  5. 29edo track Jan 2024 (somber, slow, minimalist chiptune)


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

These are the same category of thing as “equal temperaments”.

Invented approaches to classifying tunings

These are the same category of thing as “pentatonic scales”.

Invented tunings (scales)

These are the same category of thing as “the chromatic scale”.

Invented tunings (regular temperaments)

These are the same category of thing as “quarter-comma meantone temperament”.



Improvements

Significant page creations

Bulk page improvements

  • Constructed the 5-, 6-, 7-, 8-, 9-, 10-, 11- and 12-period tables on the map of rank-2 temperaments
  • Heavily added to the 2-, 3- and 4-period tables on the map of rank-2 temperaments
  • Added dozens of sources and inline citations to the historical temperaments page
  • Added infobox, intro, intervals, modes, subheadings & todo categories to dozens of previously close-to-empty MOS scale pages
  • Merged “useful tools” & “software” into one unified page
  • Added intro, intervals table and harmonics table to several hundred equal-step tuning pages (which used to just be blank pages with a single infobox)

Structural wiki improvements

• List and table creations
• Comma documentation and organisation

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. Feel free to go ahead and do these any of these things first if you’re interested in doing so. I feel overwhelmed by the sheer amount of things I want to do and am very happy for any help I receive getting through it all :)

Structural wiki improvements

  • Make “Undertone scales” page that exists in mutually supportive conversation with “IFDO” in a similar way how “Overtone scale” does with “AFDO”
  • Add “Category:Temperaments” to all temperament redirects
  • Started the 23 Dec 2024-1 Jan 2025 conversation about how very short interval pages should be categorised, taking place at: Xenharmonic Wiki talk:Things to do
    • Based on that conversation, and a possible survey I will run depending on what is said, I will then categorise or uncategorise all short interval pages accordingly according to what the wiki community has said they would like to see

Construct diagrams or lists

Repair mistakes

  • On my page 5- to 10-tone scales in 60edo, change the scales to be in the more compact format that is used on edo pages instead of a ‘Scala-like’ format
  • On my page 5- to 10-tone scales in 72edo, change the scales to be in the more compact format that is used on edo pages instead of a ‘Scala-like’ format
  • On my page 5- to 10-tone scales in 84edo, change the scales to be in the more compact format that is used on edo pages instead of a ‘Scala-like’ format
  • On my page 5- to 10-tone scales in 91edo, change the scales to be in the more compact format that is used on edo pages instead of a ‘Scala-like’ format
  • On my page 5- to 10-tone scales in 96edo, change the scales to be in the more compact format that is used on edo pages instead of a ‘Scala-like’ format

Explore, discover, document

  • Create a 15 to 25 tone complexity 2.3.7.13 temperament and document it on No-fives subgroup temperaments
  • Create a 15 to 25 tone complexity 2.5.11 & 2.5.11.13 temperament and document it on No-threes subgroup temperaments
  • Find nice 5 to 7 tone subsets of Shaka10, Starling12, Thrush12 and document them under a “subsets” heading on those scales’ pages
  • Find more unique scales in Catnip[36] in 60edo that can’t be replicated in Compton[36] and document them on 5- to 10-tone scales in 60edo
  • Add subsets to all 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19 tone scales pages
  • Test the following arithmetic pitch sequences and add any especially useful or interesting ones to the Gallery of arithmetic pitch sequences:
    • APS1/2méride
    • APS1/3méride
    • APS2/3méride
    • APS1/4méride
    • APS3/4méride
    • APS1/5méride
    • APS2/5méride
    • APS3/5méride
    • APS1/6méride
    • APS5/6méride
    • APS1/7méride
    • APS2/7méride
    • APS3/7méride
    • APS4/7méride
    • APS5/7méride
    • APS6/7méride
    • APS1/8méride
    • APS3/8méride
    • APS5/8méride
    • APS7/8méride
    • APS1/9méride
    • APS2/9méride
    • APS4/9méride
    • APS5/9méride
    • APS7/9méride
    • APS8/9méride
    • APS1/10méride
    • APS3/10méride
    • APS7/10méride
    • APS1/11méride
    • APS2/11méride
    • APS3/11méride
    • APS4/11méride
    • APS5/11méride
    • APS6/11méride
    • APS7/11méride
    • APS8/11méride
    • APS9/11méride
    • APS10/11méride
    • APS1/12méride
    • APS5/12méride
    • APS7/12méride
    • APS11/12méride
    • APS1/13méride
    • APS2/13méride
    • APS3/13méride
    • APS4/13méride
    • APS5/13méride
    • APS6/13méride
    • APS7/13méride
    • APS8/13méride
    • APS9/13méride
    • APS10/13méride
    • APS11/13méride
    • APS12/13méride
    • APS1/14méride
    • APS3/14méride
    • APS5/14méride
    • APS9/14méride
    • APS11/14méride
    • APS13/14méride
    • APS1/15méride
    • APS2/15méride
    • APS4/15méride
    • APS7/15méride
    • APS8/15méride
    • APS11/15méride
    • APS13/15méride
    • APS14/15méride
    • APS1/16méride
    • APS3/16méride
    • APS5/16méride
    • APS7/16méride
    • APS9/16méride
    • APS11/16méride
    • APS13/16méride
    • APS15/16méride
    • APS1/17méride
    • APS2/17méride
    • APS3/17méride
    • APS4/17méride
    • APS5/17méride
    • APS6/17méride
    • APS7/17méride
    • APS8/17méride
    • APS9/17méride
    • APS10/17méride
    • APS11/17méride
    • APS12/17méride
    • APS13/17méride
    • APS14/17méride
    • APS15/17méride
    • APS16/17méride
    • APS1/18méride
    • APS5/18méride
    • APS7/18méride
    • APS11/18méride
    • APS13/18méride
    • APS17/18méride
    • APS1/19méride
    • APS2/19méride
    • APS3/19méride
    • APS4/19méride
    • APS5/19méride
    • APS6/19méride
    • APS7/19méride
    • APS8/19méride
    • APS9/19méride
    • APS10/19méride
    • APS11/19méride
    • APS12/19méride
    • APS13/19méride
    • APS14/19méride
    • APS15/19méride
    • APS16/19méride
    • APS17/19méride
    • APS18/19méride
    • APS1/20méride
    • APS3/20méride
    • APS7/20méride
    • APS9/20méride
    • APS11/20méride
    • APS13/20méride
    • APS17/20méride
    • APS19/20méride

Approximate x in y

Tobago6
101.53846
350.76923
600.
701.53846
950.76923
1200.

Zeus1
157.57576
387.87879
545.45455
703.03030
1042.42424
2/1

Oceanfront5
227.82
486.09
713.91
972.18
1200.

Oceanfront Ionian Pent.
455.64
486.09
713.91
1169.55
1200.

Oceanfront Minor Harmonic Pent.
258.27
486.09
713.91
1169.55
1200.

Oceanfront Mixolydian Pent.
455.64
486.09
713.91
972.18
1200.

Oceanfront Adrift Pent.
197.37
258.27
683.46
713.91
1200.

5edo
1\5
2\5
3\5
4\5
5\5

6edo
1\6
2\6
3\6
4\6
5\6
6\6

7edo
1\7
2\7
3\7
4\7
5\7
6\7

Slendric6
233.68421
467.36842
701.05263
934.73684
966.31579
1200.

Tobago6
101.53846
350.76923
600.
701.53846
950.76923
1200.

Zeus1
157.57576
387.87879
545.45455
703.03030
1042.42424
1200.

Oceanfront5
227.82
486.09
713.91
972.18
1200.

Oceanfront Ionian Pent.
455.64
486.09
713.91
1169.55
1200.

Oceanfront Minor Harmonic Pent.
258.27
486.09
713.91
1169.55
1200.

Oceanfront Mixolydian Pent.
455.64
486.09
713.91
972.18
1200.

Oceanfront Adrift Pent.
197.37
258.27
683.46
713.91
1200.

Antipental Blues
7/6
4/3
11/8
3/2
7/4
2/1

Evened Minor Hexatonic
187.500
312.500
500.000
700.000
987.500
1200.000

Evened Phrygian Dominant Hexatonic
112.500
387.500
500.000
712.500
987.500
1200.000

Flattened Blues Aeolian Pentatonic
287.500
487.500
687.500
787.500
1200.000

Flattened Blues Minor Maj7
287.500
500.000
600.000
700.000
1100.000
1200.000

Roughened Blues Dorian Pentatonic
300.000
700.000
912.500
987.500
1200.000

Sharpened Blues Aeolian Pentatonic
312.500
712.500
800.000
1000.000
1200.000

Sharpened Blues Dorian Hexatonic
312.500
512.500
712.500
900.000
1012.500
1200.000

Sharpened Blues Harmonic Septatonic
312.500
512.500
612.500
712.500
812.500
1112.500
1200.000

Sharpened Dorian Harmonic
212.500
312.500
612.500
712.500
912.500
1012.500
1200.000

Sharpened Hirajoshi
200.000
312.500
700.000
812.500
1200.000

Sharpened Kokin-Joshi
200.000
312.500
700.000
900.000
1200.000

Sharpened Minor Pentatonic
312.500
500.000
700.000
1012.500
1200.000

Xenharmonify 12edo scales

Approximate 12edo subsets with these tunings, test them by noodling, and list all good-sounding ones in a big page:



Random stuff I’d like to share

Hot takes

  • Silliness: We should take ourselves less seriously: we should have more fun, we should be more silly 🎉
  • Arbitrary numbers: It’s fine to explore the 2.3.5.101 subgroup if you want to. It doesn’t matter that it’s less concordant than 2.3.5.7. Explore it anyway and see what happens. Do some stuff with arbitrary numbers that don’t make logical sense and just see what comes of it. That’s where the fun is! (Though do keep a “2.3” or “3.5” in there just to smooth over the gnarliest edges, heehee.)
  • Importance of common names: 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 “countertrihexakleismatic” even if it’s super accurate and technically better - a bland name can kill a temperament’s appeal, a fun name can create appeal out of nothing.
  • Misrepresentation of traditions: A cheeky little opinion piece I wrote criticising the negative and celebrating the positive ways Western tuning theory has borrowed from the world’s traditions:
User:BudjarnLambeth/Cultural appropriation-o-meter
  • Comma naming debate brainstorm: A futile attempt I made to try to begin resolving one of the big behind the scenes debates among wiki editors:
User:BudjarnLambeth/Brainstorming mostly bad ideas to solve the comma naming debate
  • My preferred EDO subgroups: A list of subgroup interpretations for the first 50 and a bit EDOs. Also includes a description of 12edo as a 2.3.5.17.19 subgroup temperament with a list of chords and intervals viewed from that lens:
User:BudjarnLambeth/How I choose a subgroup for an EDO



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.



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

Useful links for my own convenience


User:BudjarnLambeth/Sandbox


User:BudjarnLambeth/Survey of todo categories


Gallery of just intervals


Category:Rational intervals

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