User:BudjarnLambeth

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

Personal information

• Location: New South Wales, Australia
• Born: 1999
• Pronouns: he/him/his or she/her/hers
• Contactable at: https://www.facebook.com/budjarnlambeth/

Music

My favourite tracks I have made:

• 33edo track Feb 2024 (bright, lush, mellow synthwave)
• Over-5 JI (80afdo) track Feb 2024 (cinematic but danceable chiptune)
• 29edo track Jan 2024 (somber, slow, minimalist chiptune)
• 43edo track Nov 2024 (inspired by Indonesian gamelan music)

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

• Brendan Byrnes
• Greystar
• Benyamind
• Sevish

Wiki contributions

Discoveries

Invented approaches to constructing tunings

• Basal subgroups
• Equalizer subgroups
• Substitute harmonics
• Tritavesque intervals

Invented approaches to classifying tunings

• Anti-zeta EDOs
• Indecisive EDOs
• Local zeta EDOs
• Parker EDOs

Invented equal step tunings

• Equal divisions of 237.8c
• Equal divisions of 255/128
• Equal divisions of 257/128
• The sooty fox scales

Invented scales

• The anisopteran scale
• The antipental blues scale
• The apex scale
• The apple mint scale
• The bathypelagic scale
• The blackened skies scale
• The bubblegum scale
• The candycorn scale
• The carousel scale
• The cola scale
• The cosmic scale
• The dalmatian scale
  • The Dante, Da Vinci, Dawkins, Deepak, Deja Vu, Delgado, Dolly, Dylan, Fergus & Hansel scales
• The dewdrops scale
• The direct sunlight scale
• The firedance scale
• The fossa tetratonic scale
• The fossa pentatonic scale
• The goldfish scale
• The hypersakura scale
• The lemonade scale
• The liquorice scale
• The lost spirit scale
• The magnetosphere scale
• The mechanical scale
• The monsoon scale
• The moonbeam scale
• The nightdrive scale
• The Over the Hedge scale
  • The H.ammy, H.eather, O.zzie, R.J, S.tella, T.iger & V.erne scales
• The palace scale
• The pelagic scale
• The rockpool scale
• The sourgummy scale
• The spearmint scale
• The spectral blues scale
• The trailmix scale
• The UFO scale
• The volcanic scale
• The whitechocolate scale

Invented regular temperaments

• Blacktetra temperament
• Daggerminished temperament
• Dotcom temperament
• Doubloon temperaments
• Dreamtone temperament
• Ectophotia temperament
• Fifigeist temperament
• Floor temperament
• Fomalhaut temperament
• Fourwar temperament
• Glycome temperament
• Hypnotone temperament
• Income temperament
• Intercom temperament
• Kaboom temperament
• Lieerie temperament
• Lipsett temperament
• Lylla temperament
• Minicom temperament
• Newcome temperament
• Nimona temperament
• Outcome temperament
• Pajaraxe temperament
• Phantadecimal temperament
• Phantasrutal temperament
• Poltercompton temperament
• Rocket temperament
• Romcom temperament
• Sahara temperament
• Satcom temperament
• Semiamulet temperament
• Shadecimal temperament
• Shrutarnatural temperament
• Sitcom temperament
• Sixscared temperament
• Spectrephore temperament
• Teefs temperament
• Telecom temperament
• Tetramagic temperament
• Vacuum temperament
• Void temperament
• Vortex temperament
• Werecatler temperament
• Attic, basement, canine, incisor, lightyear, lilac, lilly pilly, lily, lutra, molar, oxidizer & sky temperaments

Improvements

Significant page creations

• Authored dozens of wanted pages about composers
• Authored several extensive lists of scales
• Authored the survey of efficient temperaments by subgroup to help people navigate quickly to their favourite temperament pages
• Created the Xenharmonic Wiki:Cross-platform dialogue page
• Constructed the table of zeta-streched edos
• Constructed the table of n-comma meantone generators
• Authored the page answering the FAQ question: “What are this wiki's strengths and weaknesses? (How does it compare to other resources?)”
• Authored the page answering the FAQ question: “How do I decode those strange looking comma names?”

Bulk page improvements

• Constructed the 5-, 6-, 7-, 8-, 9- 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, modes & subheadings to dozens of MOS scale pages
• Merged “useful tools” & “software” into one unified page
• Added links around the wiki to over a hundred previously orphaned pages
• Added categories & formatting tags to several hundred pages with Scala files
• 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)

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

• Special:Contributions/BudjarnLambeth

(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 🎉
• 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!
• 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.
• Most of the ‘mathematically best options’ in music tuning that can be found, have already been found. We 2020s theorists missed out on the initial RTT gold rush of the 1990s and 2000s, so we’re not ever going to discover low-badness temperaments in the full 5-limit, 7-limit or 11-limit, we were born too late to explore those. But we were born just in time to explore more niche, out-of-left-field things. The 90s/00s theorists built the fundamental bedrock. Our job now is decorate its edges with interesting little edge cases and offshoots, be those things like higher limit extensions, no-n subgroup temperaments, dual-n subgroup temperaments, anything like that. Their job in 1990-2010 was to ask “what are the most concordant tunings possible?”. Our job in 2020-2040 is to ask “if we take one of those concordant temperaments and do this to it, what happens? Is it still useable? Is it interesting?”
• For those who are interested in making more major discoveries than that, though, the fields that are still wide open are just intonation and equal-step tunings.
  • There probably are JI scales out there that are very very consonant, and also xenharmonic at the same time, that no one has ever found yet. There are so many approaches to JI, from primodality to combination product sets and so on, and most of them have been barely scratched at all in terms of discovering techniques to approach each of the tunings generated with that method. JI right now in 2024 is wide open in the same was RTT was in 1990.
  • When it comes to equal tunings, most of the consonant ones have been found already, but most of them haven’t been explored. Imagine all the consonant scales that might exist as subsets of medium to large EDOs, EDTs and EDFs, subsets that no one has found yet. Because how do you even start sifting through hundreds and thousands of possible subsets to find the good ones? Well that’s your job, theorist :) Again, I feel equal tunings are as wide open in 2024 as RTT was in 1990. One of you reading this might very well name a scale that’s as important to some equal tuning as the major scale is to 12edo.
• All the above really only applies to theorists. Musicians and composers definitely don’t have anything to worry about in terms of chances to break new ground. Most of those awesome temperaments that were found in the 2000s, have barely ever been used. For every single tuning documented on this wiki - RTT ones, JI ones, ET ones - they are all totally unexplored in terms of actually making actual music with them. So if you’re a musician or composer, the world’s your oyster. Literally pick any tuning on this wiki and make music with it, and you will be breaking major new ground.
• Similarly, there is still a huge wide open field of possibilities for software and instruments. Every single tuning on this wiki - be it RTT, JI or ET - is in major need of software and instruments. So developers and manufacturers have a huge opportunity to make a seriously big splash in the world of every corner of musical tuning.

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