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/ or on my talk page
Music
My favourite tracks I have made:)
- 33edo track Feb 2024 (bright, lush, mellow and colourful synthwave)
- Recording in my "Rocket temperament" (melancholic, wistful dungeon synth; loosely inspired by Greystar)
- 60afdo track Dec 2024 (bright, spacious, slightly hypnotic dungeon synth; loosely inspired by Greystar)
- 43edo track Nov 2024 (dark dungeon synth; loosely inspired by Indonesian gamelan music)
- 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”.
- Basal subgroups
- Half-basis, third-basis, quarter-basis, etc. subgroups
- Equalizer subgroups
- Substitute harmonics
- Tritavesque intervals
- The breuddwyd scales
- The sonhar tunings
- The sooty fox scales
- The wijzerplaat scales
- Equal divisions of 255/128
- Equal divisions of 257/128
- The APS#farab scales
- The APS#gene scales
- The APS#hekt scales
- The APS#jot scales
- The APS#méride scales
- The APS#tina scales
Invented approaches to classifying tunings
These are the same category of thing as “pentatonic scales”.
- Anti-zeta EDOs
- Indecisive EDOs
- Local zeta EDOs
- Parker EDOs
- Human EDO size categorization (HUECAT)
- Metascales
- Runoff scales
- Structural beating
Invented tunings (scales)
These are the same category of thing as “the chromatic scale”.
- The amulet scale
- The anisopteran scale
- The antipental blues scale
- The apex scale
- The apple mint scale
- The Argentina scale
- The bathypelagic scale
- The breuddwyd inverse scale
- The breuddwyd-6 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 oclock 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 snow braid scale
- The sourgummy scale
- The spearmint scale
- The spectral blues scale
- The trailmix scale
- The UFO scale
- The vinyl braid scale
- The volcanic scale
- The whitechocolate scale
- The 13ed5plus scale
- APS148.5¢
- APS237.8¢
- APS3.21farab
- APS7hekt
- APS715jot
- APS720jot
- APS4/5méride
- APS5/8méride
- APS7/12méride
- APS70tina
Invented tunings (regular temperaments)
These are the same category of thing as “quarter-comma meantone temperament”.
- Attic temperament
- Basement temperament
- Blacktetra temperament
- Canine temperament
- Daggerminished temperament
- Dotcom temperament
- Doubloon temperaments
- Dreamtone temperament
- Ectophotia temperament
- Fifigeist temperament
- Floor temperament
- Fomalhaut temperament
- Fourwar temperament
- Glycome temperament
- Hypnotone temperament
- Incisor temperament
- Income temperament
- Intercom temperament
- Kaboom temperament
- Lieerie temperament
- Lightyear temperament
- Lilac temperament
- Lilly pilly temperament
- Lily temperament
- Lipsett temperament
- Lylla temperament
- Minicom temperament
- Molar temperament
- Newcome temperament
- Nimona temperament
- Outcome temperament
- Oxidizer temperament
- Pajaraxe temperament
- Phantadecimal temperament
- Phantasrutal temperament
- Poltercompton temperament
- Rocket temperament
- Romcom temperament
- Sahara temperament
- Satcom temperament
- Semihaunt temperament
- Shadecimal temperament
- Shrutarnatural temperament
- Sitcom temperament
- Sixscared temperament
- Spectrephore temperament
- Tailwind temperament
- Teefs temperament
- Telecom temperament
- Tetramagic temperament
- Vacuum temperament
- Void temperament
- Vortex temperament
- Werecatler temperament
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
- Authored the Gallery of arithmetic pitch sequences & Gallery of combination product sets pages to help people find musical scales
- Created the Xenharmonic Wiki:Cross-platform dialogue page to aid collaboration between editors who are mostly active on Facebook and those who are mostly active on Discord
- Authored the pages about equipentatonic and equiheptatonic scales
- Authored pages answering the FAQ questions:
- “What are this wiki's strengths and weaknesses? (How does it compare to other resources?)”
- “I'm a new editor, what is everything I can do to help?”
- “How do I decode those strange looking comma names?”
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
- Added categories & formatting tags to several hundred pages with Scala files
- Added links around the wiki to over 150 previously orphaned pages, bringing the number down from above 250 to below 70 (as of 4 Dec 2024)
- Created Template:Lumatone mapping navigation with very extensive help from User:ArrowHead294
- With ArrowHead294’s extensive help, incorporated the template into over 50 pages for Category:Lumatone mappings
- Ran a survey of editors, created the Xenharmonic Wiki:Optional guidelines for interval page todo categories (XW:IntTodo) from the results, and ensured all interval pages were categorized in line with XW:IntTodo
• List and table creations
Constructed:
- List of taxicab-2 intervals
- User:BudjarnLambeth/Table of n-comma meantone generators
- Harmonic entropy of just intervals
- Table of zeta-stretched edos
• 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, 11, 13, 17, 19, 23 and >23 limit small commas into ’Commas by name’ subcategories
- Categorised all 5, 7, 11, 13, 17, 19, 23 and >23 limit unnoticeable commas into ’Commas by name’ subcategories
- Conducted the User:BudjarnLambeth/Survey of named and unnamed commas
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 demeaning to women. 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 Buddhisma”. There was nothing wrong with that name in and of itself, the problem is that it was explicitly stated to be named after the anti-Muslim hate group the 969 Movement, and the comma number was 969/968. I thought this was inappropriate, so I proposed a few replacement names on Discord. Of the names I coined “the kingfisher comma” was the clear favourite, so I renamed the comma to the kingfisher comma.
- 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
Construct diagrams or lists
- Expand Harmonic entropy of just intervals up to 16/1 instead of just 8/1 (using 1080ed16 as a starting point, then converting it to JI using Scale Workshop)
- Construct a table of the sharpness or flatness of every prime harmonic in every edo up to 53.
- Each edo will be a row, and the columns will be from -60%, -55%, -50%… -5%, 0, +5%… +50%, +55%, +60%. And I will list each prime in whichever bin it is closest too (so if prime 7/1 had +23.9% error in Nedo, it goes in column +25% in that edo’s row).
- Make a separate absolute error table in cents for EDOs 1 to 30, and relative error table for all EDOs 1 to 53 with the possibility of expanding both to higher edos later.
- Construct a version of an “odd limit” but for each “equalizer subgroup” and document them on the equalizer subgroup page
- Construct a tonality diamond or something like one for each “equalizer subgroup” and document them on the equalizer subgroup page
- For every temperament on the page Survey of efficient temperaments by subgroup, generate a Scala file of whichever of its MOS scales is closest to (2 x its graham complexity). List all the Scala files in a wiki page along the lines of “Scala files for efficient subgroup temperaments” or something like that and link it from the Survey page
- Make all the wanted tables listed in Category:Todo:add rank 2 temperaments table
- Make manual, curated tables of intervals for:
- Make all the wanted mappings listed in Category:Todo:add lumatone mapping
Improve pages I made
- Completely rewrite the procedure list and edo list of User:BudjarnLambeth/How I choose a subgroup for an EDO
- Completely delete old procedures. Instead, write new procedures that are universal, not tied to edo size, and which are grouped under two subheadings, "normalized" and "non-normalized"
- Completely delete dot point list of subgroups by edo. Instead, write new table with each edo being a row, and three columns: "edo", "normalized subgroups" and "non-normalized subgroups". "Normalized subgroups" and "non-normalized subgroups" will be further broken into sub columns, one for each of the procedures listed in the procedure section. My personal favourite subgroup for each edo will be in bold
- Add more examples to Gallery of xenharmonic word painting
- 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
- 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
- Find 4 to 7 tone subsets for every 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 or 19-tone scale page
Approximate x in y
- Approximate the following scales in modes 34 to 101 of the harmonic series and document the results in “5- to 10-tone scales from the modes of the harmonic series”:
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.
- Approximate the following scales in modes 102 to 200 of the harmonic series and document the results in “5- to 10-tone scales from the modes of the harmonic series”:
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.
- Approximate the following scales in BOTH prime modes 75-100 of the harmonic series AND sqfr semiprm modes 75-100 and document the results in “5- to 10-tone scales from the modes of the harmonic series”:
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:
- August in EDOs: ................. 21, 33, 45, 58, 69
- Augene in EDOs: ................. 15, 27, 39, 66
- Bidia in EDOs: ................. 56, 68, 80
- Diaschismic in EDOs: ................. 46, 58, 104
- Dimcomp in EDOs: ................. 44, 48, 56, 60, 68, 72
- Diminished in EDOs: ................. 20, 28, 32, 44
- Grackle in EDOs: ................. 53, 65, 77, 89
- Helenus/Photia in EDOs: ................. 41, 53, 65, 118
- Hexe in EDOs: ................. 30, 42
- Injera in EDOs: ................. 14, 26, 38, 40, 90, 102
- Misty in EDOs: ................. 39, 51, 63, 75, 87, 99
- Nickel in EDOs: ................. 16, 21, 28
- Pajara in EDOs: ................. 22, 34, 56
- Pajarous in EDOs: ................. 22, 32, 54, 76, 120
- Passion in EDOs: ................. 25, 37, 49, 61, 73, 110
- Ripple in EDOs: ................. 71, 83, 95, 107, 119
- Semimeantone in EDOs: ................. 38, 50, 62
- Srutal/Srutal archagall in EDOs: ................. 22, 34, 46, 80, 114, 126
- Wronecki in EDOs: ................. 66, 78, 90, 102, 114, 126
Hot takes
Everything in this section is opinion, not facts!
Do not give any of it too much weight.
- 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:
- 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:
- My preferred EDO subgroups (incomplete work-in-progress): Will include a list of subgroup interpretations for the first 50 and a bit EDOs (once it’s done). 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 (that part is done):
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.
Useful links for my own convenience
User:BudjarnLambeth/Sandbox
Gallery of just intervals
Harmonic entropy of just intervals
User:Ganaram inukshuk/Catalog of MOS Scales