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BudjarnLambeth

Joined 22 July 2022
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== My favourite scales ==
This is the user page of '''Budjarn Lambeth''', the wiki contributor and amateur music theorist.


=== 14EDO ===
Not to be confused with ''[[lambeth chords]]'' nor ''[[1573/1568]] (the lambeth comma)''. Those are unrelated to me.


Fennec
== Personal information ==
171.429
* Location: New South Wales, Australia
342.857
* Born: 1999
514.286
* Pronouns: he/him/his or she/her/hers
685.714
* Contactable at: https://www.facebook.com/budjarnlambeth/ or on my [[User talk:BudjarnLambeth|talk page]]
771.429
<br><br>
1114.286
1200.000


=== 21EDO ===
== Music ==
My favourite tracks I have made :)
# [https://m.youtube.com/watch?v=scCuGXnj5IY 33edo track Feb 2024] (bright, lush, mellow and colourful synthwave)
# [https://www.youtube.com/watch?v=_NepcrTf9ng Recording in my "Rocket temperament"] (melancholic, wistful dungeon synth; loosely inspired by [[Greystar]])
# [https://www.youtube.com/watch?v=6N_8QM2UK5I Compressed 8ve 80edo track Aug 2025] (contemporary classical improv on synthesizer)
# [https://www.youtube.com/watch?v=tIwfO1lZWAc 21edo track May 2025] (dark dungeon synth; loosely inspired by Indonesian [[gamelan]] and Japanese music)
# [https://www.youtube.com/watch?v=iZI9x2Fto-A 60afdo track Dec 2024] (bright, spacious, tropical dungeon synth; loosely inspired by Greystar)


Pelog Lima
114.286
285.714
685.714
800.000
1200.000


=== 22EDO ===
YouTube discography:


Fennec
https://youtube.com/playlist?list=PLVHnByvMeRTohfmDPkc0EfOByWaX4xXAF
163.636
327.273
490.909
709.091
818.182
1090.909
1200.000


Subminor Hexatonic
218.182
272.727
490.909
709.091
981.818
1200.000


Volcanic
Bandcamp discography:
109.091
381.819
709.091
981.818
1200.000


=== 23EDO ===
https://budjarnlambeth.bandcamp.com/


Mavila Arcade
365.2173913043478
469.5652173913043
678.2608695652174
991.3043478260869
1200.000


Mavila Blackened Skies
''Most tracks on Bandcamp have not yet been uploaded to YouTube and vice versa.''
313.04347826086956
<br><br><br><br>
521.7391304347826
573.9130434782609
678.2608695652174
782.6086956521739
1095.6521739130435
1200.000


Mavila Geode
==My favourite microtonal composers==
260.8695652173913
*'''[[Brendan Byrnes]]'''
521.7391304347826
*[[Greystar]]
678.2608695652174
*[[JUMBLE]]
1043.4782608695652
*[[Benyamind]]
1200.000
*[[Sevish]]
<br><br><br>


Mavila Lost Spirit I
==Wiki contributions==
313.04347826086956
===Discoveries===
521.7391304347826
====Invented approaches to constructing tunings ====
626.0869565217391
These are the same category of thing as “equal temperaments”.
678.2608695652174
939.1304347826086
991.3043478260869
1200.000


Mavila Lost Spirit II
''Procedural approaches'':
260.8695652173913
* [[Basal subgroup]]s
469.5652173913043
* [[Half-prime subgroup|Half-basis, third-basis, quarter-basis, etc. subgroups]]
573.9130434782609
* [[Equalizer subgroup]]s
678.2608695652174
* [[Sin(x) tuning#Generalizations|Function(x) tuning]]s
886.9565217391304
* [[Polytriadic]] tunings
991.3043478260869
* [[Substitute harmonic]]s
1200.000
* [[Tritavesque]] intervals
* [[Sin(x) tuning#Generalizations|Waveform(x) tuning]]s
* [[Ed255/128|Equal divisions of 255/128]]
* [[Ed257/128|Equal divisions of 257/128]]


Mavila Mechanical
''Sculptural approaches'':
260.8695652173913
* [[Breuddwyd scale]]s
365.2173913043478
* [[Breuddwyd scale|Sonhar tuning]]s
678.2608695652174
* [[Sooty fox scale]]s
991.3043478260869
* [[Breuddwyd scale|Wijzerplaat scale⁠]]s
1200.000
* [[Gallery of arithmetic pitch sequences|APS#farab scales]]
* [[Gallery of arithmetic pitch sequences|APS#gene scales]]
* [[Gallery of arithmetic pitch sequences|APS#hekt scales]]
* [[Gallery of arithmetic pitch sequences|APS#jot scales]]
* [[Gallery of arithmetic pitch sequences|APS#méride scales]]
* [[Gallery of arithmetic pitch sequences|APS#tina scales]]


Mavila Mushroom
====Invented approaches to classifying tunings ====
260.8695652173913
These are the same category of thing as “pentatonic scales”.
469.5652173913043
* [[the Riemann zeta function and tuning#Non-record edos|Anti-zeta EDOs]]
678.2608695652174
* [[the Riemann zeta function and tuning#Non-record edos|Indecisive EDOs]]
782.6086956521739
* [[the Riemann zeta function and tuning#Non-record edos|Local zeta EDOs]]
1200.000
* [[the Riemann zeta function and tuning#''k''-ary peak EDOs|Parker EDOs]]
* [[Human EDO size categorization]] (HUECAT)
* [[Metascale]]s
* [[Runoff]] scales
* [[Structural beating]]


Mavila Nightdrive
====Invented tunings (scales)====
313.04347826086956
These are the same category of thing as “the chromatic scale”.
521.7391304347826
* The [[Shoal17#Scales|algal bloom]] scale
678.2608695652174
* The [[25edo#Scales|amulet]] scale
1043.4782608695652
* The [[anisopteran scale]]
1200.000
* The [[antipental blues]] scale
 
* The [[14afdo#Scales|apex]] scale
Mavila Pelagic
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|apple mint]] scale
313.04347826086956
* The [[Gallery of arithmetic pitch sequences#APS of tinas|Argentina]] scale
521.7391304347826
* The [[30edo#Scales|bathypelagic]] scale
573.9130434782609
* The [[breuddwyd inverse]] scale
678.2608695652174
* The [[breuddwyd6|breuddwyd-6]] scale
991.3043478260869
* The [[blackened skies]] scale
1200.000
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|bubblegum]] scale
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|candycorn]] scale
* The [[30edo#Scales|carousel]] scale
* The [[9edf#Scales|cloudscape]] scale
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|cola]] scale
* The [[9edf#Scales|corrugated]] scale
* The [[32afdo#Scales|cosmic]] scale
* The [[dalmatian scale]]
** The Dante, Da Vinci, Dawkins, Deepak, Deja Vu, Delgado, Dolly, Dylan, Fergus & Hansel [[101afdo#Scales|scales]]
* The [[30edo#Scales|dewdrops]] scale
* The [[Shoal17#Scales|diffractive scale]]
* The [[Shoal17#Scales|diffractive tetrad]]
* The [[27edo#Scales|direct sunlight]] scale
* The [[Shoal17#Scales|driftwood]] scale
* The [[Peppermint-24#Salt and pepper scale and its subsets|evacuated planet]] scale
* The [[firedance]] scale
* The [[5- to 10-tone scales in 60edo|fossa tetratonic]] scale
* The [[5- to 10-tone scales in 60edo|fossa pentatonic]] scale
* The [[56edo#Scales|frankincense]] scale
* The [[goldfish]] scale
* The [[27edo#Scales|hypersakura]] scale
* The [[Peppermint-24#Ketchup and mustard scale and its subsets|ketchup and mustard]] scale
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|lemonade]] scale
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|liquorice]] scale
* The [[9edf#Scales|livewire]] scale
* The [[lost spirit]] scale
* The [[magnetosphere scale]]
* The [[16afdo#Scales|mechanical]] scale
* The [[9edf#Scales|molten pelog]] scale
* The [[9edf#Scales|molten slendro]] scale
* The [[5- to 10-tone scales in 47zpi|monsoon]] scale
* The [[16afdo#Scales|moonbeam]] scale
* The [[30edo#Scales|nightdrive]] scale
* The [[oclock]] scale
* The [[User:BudjarnLambeth/Over the Hedge|Over the Hedge]] scale
** The H.ammy, H.eather, O.zzie, R.J, S.tella, T.iger & V.erne [[User:BudjarnLambeth/Over the Hedge|scales]]
* The [[29edo#Scales|palace]] scale
* The [[30edo#Scales|pelagic]] scale
* The [[Peppermint-24#Salt_and_pepper_scale_and_its_subsets|pepperbass]] scale
* The [[9edf#Scales|purgatory]] scale
* The [[9edf#Scales|pylon]] scale
* The [[47edo#Scales|quasi-equiheptatonic minor pentatonic]] scale
* The [[9edf#Scales|quest]] scale
* The [[Shoal17#Scales|refractive scale]]
* The [[Shoal17#Scales|refractive tetrad]]
* The [[5- to 10-tone scales in 47zpi|rockpool]] scale
* The [[47edo#Scales|sabertooth hexatonic]] scale
* The [[47edo#Scales|sabertooth neutral]] scale
* The [[47edo#Scales|sabertooth pentatonic]] scale
* The [[Peppermint-24#Salt and pepper scale and its subsets|salt and pepper]] scale
* The [[Shoal17#Scales|shoal17 over-9 tetrad]]
* The [[breuddwyd6|snow braid]] scale
* The [[9edf#Scales|snowcone]] scale
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|sourgummy]] scale
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|spearmint]] scale
* The [[spectral blues]] scale
* The [[9edf#Scales|swan]] scale
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|trailmix]] scale
* The [[Batch 89 temperaments#Example inflected MOS scale: UFO scale|UFO scale]]
* The [[breuddwyd inverse|vinyl braid]] scale
* The [[16afdo#Scales|volcanic]] scale
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|whitechocolate]] scale
* The [[26ed5#13ed5plus|13ed5plus]] scale
* The [[80edo#Scales|16-tone 5&16edo scale]]
* The [[80edo#Scales|12-tone 5&16edo scale]]
* The [[80edo#Scales|14-tone 8&10edo scale]]
* The [[80edo#Scales|12-tone 8&10edo scale]]
* The [[80edo#Scales|14-tone 8&20edo scale]]
* The [[80edo#Scales|12-tone 8&20edo scale]]
* [[1ed148.5c|APS148.5¢]]
* [[1ed237.8c|APS237.8¢]]
* [[Gallery of arithmetic pitch sequences#APS of farabs|APS3.21farab]]
* [[Gallery of arithmetic pitch sequences#APS of hekts|APS7hekt]]
* [[1ed28.5c|APS715jot]]
* [[1ed28.7c|APS720jot]]
* [[Gallery of arithmetic pitch sequences#APS of mérides|APS4/5méride]]
* [[Gallery of arithmetic pitch sequences#APS of mérides|APS5/8méride]]
* [[Gallery of arithmetic pitch sequences#APS of mérides|APS7/12méride]]
* [[Gallery of arithmetic pitch sequences#APS of tinas|APS70tina]]


Mavila Springwater
====Invented tunings (regular temperaments)====
208.69565217391303
These are the same category of thing as “quarter-comma meantone temperament”.
365.2173913043478
* [[7921/7776|Attic]] temperament
678.2608695652174
* [[979/972|Basement]] temperament
991.3043478260869
* [[Subgroup temperaments#Blacktetra|Blacktetra]] temperament
1200.000
* [[1000/979|Canine]] temperament
* [[Substitute harmonic#Daggerminished|Daggerminished]] temperament
* [[Substitute harmonic#Narrowed compton|Dotcom]] temperament
* [[Vavoom family|Doubloon]] temperaments
* [[Meantone family#Dreamtone|Dreamtone]] temperament
* [[Equalizer subgroup|Ectophotia]] temperament
* [[Equalizer subgroup|Fifigeist]] temperament
* [[Batch 89 temperaments#Floor|Floor]] temperament
* [[No-twos subgroup temperaments#Fomalhaut|Fomalhaut]] temperament
* [[Subgroup temperaments#Fourwar|Fourwar]] temperament
* [[Substitute harmonic#Narrowed compton|Glycome]] temperament
* [[No-sevens subgroup temperaments#Hypnotone|Hypnotone]] temperament
* [[8000/7921|Incisor]] temperament
* [[Substitute harmonic#Narrowed compton|Income]] temperament
* [[Substitute harmonic#Narrowed compton|Intercom]] temperament
* [[Vavoom family|Kaboom]] temperament
* [[Equalizer subgroup|Lieerie]] temperament
* [[Lightyear comma|Lightyear]] temperament
* [[2883/2848|Lilac]] temperament
* [[8277/8192|Lilly pilly]] temperament
* [[7936/7921|Lily]] temperament
* [[No-fives subgroup temperaments#Lipsett|Lipsett]] temperament
* [[Batch 89 temperaments#Lylla|Lylla]] temperament
* [[Substitute harmonic#Narrowed compton|Minicom]] temperament
* [[Molar comma|Molar]] temperament
* [[Substitute harmonic#Narrowed compton|Newcome]] temperament
* [[Nimona]] temperament
* [[Substitute harmonic#Narrowed compton|Outcome]] temperament
* [[729/712|Oxidizer]] temperament
* [[Substitute harmonic#Pajaraxe|Pajaraxe]] temperament
* [[Equalizer subgroup|Phantadecimal]] temperament
* [[Equalizer subgroup|Phantasrutal]] temperament
* [[Equalizer subgroup|Poltercompton]] temperament
* [[Batch 89 temperaments#Rocket|Rocket]] temperament
* [[Substitute harmonic#Narrowed compton|Romcom]] temperament
* [[Substitute harmonic#Sahara|Sahara]] temperament
* [[Substitute harmonic#Narrowed compton|Satcom]] temperament
* [[Equalizer subgroup|Semihaunt]] temperament
* [[Equalizer subgroup|Shadecimal]] temperament
* [[Equalizer subgroup|Shrutarnatural]] temperament
* [[Substitute harmonic#Narrowed compton|Sitcom]] temperament
* [[Subgroup temperaments#Sixscared|Sixscared]] temperament
* [[Equalizer subgroup|Spectrephore]] temperament
* [[89/88|Tailwind]] temperament
* [[Batch 89 temperaments#Teefs|Teefs]] temperament
* [[Substitute harmonic#Narrowed compton|Telecom]] temperament
* [[Subgroup temperaments#Tetramagic|Tetramagic]] temperament
* [[Vavoom family#Vacuum|Vacuum]] temperament
* [[Vavoom family#Void|Void]] temperament
* [[Vavoom family#Vortex|Vortex]] temperament
* [[Equalizer subgroup|Werecatler]] temperament
<br><br>


Mavila Starship
===Improvements===
104.34782608695652
====Significant page creations====
365.2173913043478
* Authored the [[survey of efficient temperaments by subgroup]] to help people navigate quickly to their favourite temperament pages
469.5652173913043
* Authored the [[Gallery of arithmetic pitch sequences]] & [[Gallery of combination product sets]] pages to help people find musical [[scale]]s
678.2608695652174
* Authored the pages about [[equipentatonic]] and [[equiheptatonic]] scales
991.3043478260869
* 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
1200.000
* 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?]]”
** “[[Systematic comma names explained|How do I decode those strange looking comma names?]]”
* Authored dozens of wanted pages about [[:Category:Composers|composers]]
* Authored several extensive [[:Category:Lists of scales|lists of scales]]


Mavila Underpass
====Bulk page improvements====
313.04347826086956
* Constructed the 5-, 6-, 7-, 8-, 9-, 10-, 11- and 12-period tables on the [[map of rank-2 temperaments]]
678.2608695652174
* Heavily added to the 2-, 3- and 4-period tables on the [[map of rank-2 temperaments]]
886.9565217391304
* Added dozens of sources and inline citations to the [[historical temperaments]] page
991.3043478260869
* Added [[Template:Temp gallery]] to all '[[User:BudjarnLambeth/Prominent temperament gallery pages|very highly prominent temperament gallery pages]]'
1200.000
* Added [[Template:Temp gallery]] to all '[[User:BudjarnLambeth/Prominent temperament gallery pages|highly prominent temperament gallery pages]]'
* Added [[Template:Temp gallery]] to all '[[User:BudjarnLambeth/Prominent temperament gallery pages|moderately prominent temperament gallery pages]]'
* Added [[Template:Temp gallery]] to all '[[User:BudjarnLambeth/Prominent temperament gallery pages|less prominent temperament]] families and clans'
* Merged “useful tools” & “software” into [[Software|one unified page]]
* Added infobox, intro, intervals, modes, subheadings & todo categories to dozens of previously close-to-empty [[MOS scale]] pages
* 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)


Mavila Volcanic
====Structural wiki improvements====
104.34782608695652
* Added categories & formatting tags to several hundred [[:Category:Pages with Scala files|pages with Scala files]]
365.2173913043478
* Added links around the wiki to over 150 previously [[Special:LonelyPages|orphaned pages]], bringing the number down from above 250 to below 70 (as of 4 Dec 2024)
678.2608695652174
* Created [[Template:Navbox Lumatone]] with very extensive help from [[User:ArrowHead294]]
991.3043478260869
** With ArrowHead294’s extensive help, incorporated the template into over 50 pages for [[:Category:Lumatone mappings]]
1200.000
* 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


Pelog Lima
===== • List and table creations=====
104.348
Constructed:
260.870
* [[List of taxicab-2 intervals]]
678.261
* [[User:BudjarnLambeth/Table of n-comma meantone generators]]
782.609
* [[Harmonic entropy of just intervals]]
1200.000
* [[Table of zeta-stretched edos]]


==== 30EDO ====
===== • 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]]


Augmented
====Name changes I was involved in====
320.000
* 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 “'''[[7th-octave temperaments#Austinpowers|austinpowers temperament]]'''” which has now replaced it.
400.000
* 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|catnip temperament]]'''” which has now replaced it.
720.000
* There was an old temperament that pre-dated my participation in the wiki. Its old, original name was “decades temperament”. Some people on the XA Discord said that they disliked it due to its convoluted etymology. I coined the new name “'''[[gamelstearn|gamelstearn temperament]]'''” based on its two defining commas. After a few days, not many people commented or reacted to the proposal, but all were in favour and none were against, so the name "gamelstearn" was adopted.
800.000
* 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 sectarian 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 “'''[[969/968|the kingfisher comma]]'''” was the clear favourite, so I renamed the comma to the kingfisher comma.
1120.000
* There used to be two temperaments named “semidim temperament”. To resolve the confusion, after discussion on the XA Discord, myself and [[Lériendil]] came up with new names for each of the two temperaments. Lériendil coined “[[ammon|ammon temperament]]” for the first, and I coined “'''[[octonion|octonion temperament]]'''” for the second.
1200.000
* 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 “'''[[1682/1681|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 - “'''[[nokotan|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 “'''[[zudilisma|the zudilisma]]'''”.
<br><br>


Equipentatonic
=== Full list of contributions ===
240.000
* [[Special:Contributions/BudjarnLambeth]]
480.000
<br><br>
720.000
960.000
1200.000


Mavila Arcade
=== (To-do) ===
360.
Things I [[Wikifuture|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 :)
480.
680.
1000.
1200.000


Mavila Blackened Skies
==== Structural wiki improvements ====
320.
* Make “Undertone scales” page that exists in mutually supportive conversation with “[[IFDO]]” in a similar way how “[[Overtone scale]]” does with “[[AFDO]]”
520.
* Add “[[:Category:Temperaments]]” to all temperament [[special:ListRedirects|redirects]]
600.
720.
800.
1120.
1200.000


Mavila Carousel
==== Construct diagrams or lists ====
360.000
* 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
520.000
* Make all the wanted tables listed in [[:Category:Todo:add rank 2 temperaments table]]
680.000
* Make manual, curated tables of [[interval]]s for:<small>
1040.000
** [[8ed5/4]] to 9ed5/4
1200.000
** [[4ed4/3]] to 8ed4/3
** [[4ed5/3]] to 6ed5/3
** [[11ed5/3]]
** [[5ed7/4]] to 12ed7/4
** [[5ed9/5]] to 7ed9/5
** [[9ed11/5]]
** [[11ed9/4]]
** [[5ed7/3]]
** [[8ed7/3]]
** [[5ed5/2]] to 6ed5/2
** [[8ed5/2]]
** [[12edt]]
** [[3ed4]] to 6ed4
** [[8ed4]] to 15ed4
** [[3ed5]] to 5ed5
** [[4ed6]]</small>
* Make all the wanted mappings listed in [[:Category:Todo:add lumatone mapping]]
* 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


Mavila Dewdrops
==== Improve pages I made ====
160.000
* 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
320.000
* 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
480.000
* 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
680.000
* 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
840.000
* 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
1000.000
1200.000


Mavila Geode
==== Explore, discover, document ====
280.
* Find nice 5 to 7 tone subsets of [[Shaka10]], [[Starling12]], [[Thrush12]] and document them under a “subsets” heading on those scales’ pages
520.
* 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]]
680.
* Find 4 to 7 tone subsets for every 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 or 19-tone scale page
1040.
1200.000


Mavila Lost Spirit I
==== Approximate x in y ====
320.
* 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]]”:
520.
<pre>
Tobago6
101.53846
350.76923
600.
600.
680.
701.53846
920.
950.76923
1000.
1200.
1200.000


Mavila Lost Spirit II
Zeus1
280.
157.57576
480.
387.87879
560.
545.45455
680.
703.03030
880.
1042.42424
1000.
2/1
1200.000


Mavila Mechanical
Oceanfront5
280.
227.82
360.
486.09
680.
713.91
1000.
972.18
1200.000
1200.


Mavila Mushroom
Oceanfront Ionian Pent.
280.
455.64
480.
486.09
680.
713.91
800.
1169.55
1200.000
1200.


Mavila Nightdrive
Oceanfront Minor Harmonic Pent.
320.000
258.27
520.000
486.09
680.000
713.91
1040.000
1169.55
1200.000
1200.


Mavila Pelagic I
Oceanfront Mixolydian Pent.
320.000
455.64
480.000
486.09
560.000
713.91
680.000
972.18
1000.000
1200.
1200.000


Mavila Pelagic II
Oceanfront Adrift Pent.
320.000
197.37
480.000
258.27
560.000
683.46
720.000
713.91
1000.000
1200.
1200.000
</pre>


Mavila Underpass
* 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]]”:
320.
<pre>
680.
5edo
880.
1\5
1000.
2\5
1200.000
3\5
4\5
5\5


Mavila Volcanic
6edo
120.
1\6
360.
2\6
680.
3\6
1000.
4\6
1200.000
5\6
6\6


Mavila[16] Chromatic
7edo
40.000
1\7
160.000
2\7
200.000
3\7
320.000
4\7
360.000
5\7
480.000
6\7
520.000
560.000
680.000
720.000
840.000
880.000
1000.000
1040.000
1160.000
1200.000


Whole Tone
Slendric6
200.000
233.68421
400.000
467.36842
600.000
701.05263
800.000
934.73684
1000.000
966.31579
1200.000
1200.


=== 36EDO ===
Tobago6
101.53846
350.76923
600.
701.53846
950.76923
1200.


Fennec
Zeus1
166.67
157.57576
333.33
387.87879
500.01
545.45455
700.00
703.03030
766.67
1042.42424
1133.33
1200.
1200.00


=== 53EDO ===
Oceanfront5
227.82
486.09
713.91
972.18
1200.


Composite Cliffedge
Oceanfront Ionian Pent.
271.698
455.64
498.113
486.09
701.887
713.91
1132.075
1169.55
1200.000
1200.


Composite Freeway
Oceanfront Minor Harmonic Pent.
271.698
258.27
498.113
486.09
701.887
713.91
883.019
1169.55
1041.509
1200.
1200.000


Composite Geode
Oceanfront Mixolydian Pent.
271.698
455.64
498.113
486.09
701.887
713.91
1041.509
972.18
1200.000
1200.


Composite Mushroom
Oceanfront Adrift Pent.
271.698
197.37
498.113
258.27
701.887
683.46
769.811
713.91
1200.000
1200.
 
</pre>
Composite Underpass
316.981
701.887
928.302
1018.868
1200.000
 
Spectral Arcade
384.906
475.472
701.887
973.585
1200.000
 
Spectral Mechanical
294.340
384.906
701.887
973.585
1200.000
 
Spectral Moonbeam
203.774
294.340
701.887
1086.792
1200.000
 
Spectral Springwater
203.774
384.906
701.887
973.585
1200.000
 
Spectral Starship
90.566
384.906
475.472
701.887
973.585
1200.000
 
Spectral Volcanic
113.208
384.906
701.887
973.585
1200.000


=== 72EDO ===
* 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]]”:
<pre>
Antipental Blues
7/6
4/3
11/8
3/2
7/4
2/1


Blackened Skies
Evened Minor Hexatonic
316.667
187.500
312.500
500.000
500.000
583.333
700.000
700.000
783.333
987.500
1116.667
1200.000
1200.000


Lost Spirit
Evened Phrygian Dominant Hexatonic
316.667
112.500
387.500
500.000
500.000
583.333
712.500
700.000
987.500
933.333
1016.667
1200.000
1200.000


=== 12EDO ===
Flattened Blues Aeolian Pentatonic
287.500
487.500
687.500
787.500
1200.000


==== Minor scales ====
Flattened Blues Minor Maj7
287.500
Minor
200.000
300.000
500.000
500.000
600.000
700.000
700.000
800.000
1000.000
1200.000
Minor Harmonic
200.000
300.000
500.000
700.000
800.000
1100.000
1100.000
1200.000
1200.000


Minor Harmonic Pentatonic I
Roughened Blues Dorian Pentatonic
200.000
300.000
300.000
700.000
700.000
1100.000
912.500
987.500
1200.000
1200.000


Minor Harmonic Pentatonic II
Sharpened Blues Aeolian Pentatonic
300.000
312.500
500.000
712.500
700.000
1100.000
1200.000
Minor Hexatonic
200.000
300.000
500.000
700.000
1000.000
1200.000
Minor Melodic
200.000
300.000
500.000
700.000
900.000
1100.000
1200.000
Minor Pentatonic
300.000
500.000
700.000
1000.000
1200.000
==== Modal scales ====
Dorian
200.000
300.000
500.000
700.000
900.000
1000.000
1200.000
Locrian
100.000
300.000
500.000
600.000
800.000
800.000
1000.000
1000.000
1200.000
1200.000
 
Lydian
Sharpened Blues Dorian Hexatonic
200.000
312.500
400.000
512.500
600.000
712.500
700.000
900.000
900.000
1100.000
1012.500
1200.000
1200.000
 
Mixolydian
Sharpened Blues Harmonic Septatonic
200.000
312.500
400.000
512.500
500.000
612.500
700.000
712.500
900.000
812.500
1000.000
1112.500
1200.000
1200.000
 
Mixolydian Pentatonic
Sharpened Dorian Harmonic
400.000
212.500
500.000
312.500
700.000
612.500
1000.000
712.500
912.500
1012.500
1200.000
1200.000
 
Phrygian
Sharpened Hirajoshi
100.000
300.000
500.000
700.000
800.000
1000.000
1200.000
Phrygian Dominant
100.000
400.000
500.000
700.000
800.000
1000.000
1200.000
Phrygian Dominant Hexatonic
100.000
400.000
500.000
700.000
1000.000
1200.000
Phrygian Dominant Pentatonic
400.000
500.000
700.000
800.000
1200.000
Phrygian Pentatonic
100.000
300.000
700.000
800.000
1200.000
==== Blues scales ====
Blues Aeolian Hexatonic
300.000
500.000
600.000
700.000
800.000
1200.000
Blues Aeolian Pentatonic I
300.000
500.000
700.000
800.000
1200.000
Blues Aeolian Pentatonic II
300.000
700.000
800.000
1000.000
1200.000
Blues Bright Double Harmonic
100.000
400.000
500.000
700.000
800.000
1000.000
1100.000
1200.000
Blues Dark Double Harmonic
200.000
200.000
300.000
312.500
500.000
600.000
700.000
800.000
1100.000
1200.000
Blues Dorian Hexatonic
300.000
500.000
700.000
900.000
1000.000
1200.000
Blues Dorian Pentatonic
300.000
700.000
900.000
1000.000
1200.000
Blues Dorian Septatonic
300.000
500.000
600.000
700.000
900.000
1000.000
1200.000
Blues Harmonic Hexatonic
200.000
300.000
500.000
700.000
1100.000
1200.000
Blues Harmonic Septatonic
300.000
500.000
600.000
700.000
800.000
1100.000
1200.000
Blues Leading
300.000
500.000
600.000
700.000
1000.000
1100.000
1200.000
Blues Minor
300.000
500.000
600.000
700.000
1000.000
1200.000
Blues Minor Maj7
300.000
500.000
600.000
700.000
1100.000
1200.000
Blues Pentachordal
200.000
300.000
500.000
600.000
700.000
700.000
812.500
1200.000
1200.000


==== Other scales ====
Sharpened Kokin-Joshi
Whole Tone
200.000
200.000
400.000
312.500
600.000
800.000
1000.000
1200.000
Augmented
300.000
400.000
700.000
800.000
1100.000
1200.000
Dominant Pentatonic
200.000
400.000
700.000
1000.000
1200.000
Double Harmonic
100.000
400.000
500.000
700.000
800.000
1100.000
1200.000
Hirajoshi
200.000
300.000
700.000
800.000
1200.000
Ionian Pentatonic
400.000
500.000
700.000
1100.000
1200.000
Javanese Pentachordal
100.000
300.000
600.000
700.000
1200.000
Kokin-Joshi
200.000
300.000
700.000
700.000
900.000
900.000
1200.000
1200.000
 
Major
Sharpened Minor Pentatonic
200.000
312.500
400.000
500.000
700.000
900.000
1100.000
1200.000
Major Pentatonic
200.000
400.000
700.000
900.000
1200.000
Picardy Hexatonic
200.000
400.000
500.000
500.000
700.000
700.000
800.000
1012.500
1200.000
Picardy Pentatonic
200.000
400.000
700.000
800.000
1200.000
1200.000
</pre>
==== 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: ................. {{EDOs|21, 33, 45, 58, 69}}
* [[Augene]] in EDOs: ................. {{EDOs|15, 27, 39, 66}}
* [[Bidia]] in EDOs: ................. {{EDOs|56, 68, 80}}
* [[Diaschismic]] in EDOs: ................. {{EDOs|46, 58, 104}}
* [[Dimcomp]] in EDOs: ................. {{EDOs|44, 48, 56, 60, 68, 72}}
* [[Diminished]] in EDOs: ................. {{EDOs|20, 28, 32, 44}}
* [[Grackle]] in EDOs: ................. {{EDOs|53, 65, 77, 89}}
* [[Helenus]]/[[Photia]] in EDOs: ................. {{EDOs|41, 53, 65, 118}}
* [[Hexe]] in EDOs: ................. {{EDOs|30, 42}}
* [[Injera]] in EDOs: ................. {{EDOs|14, 26, 38, 40, 90, 102}}
* [[Misty]] in EDOs: ................. {{EDOs|39, 51, 63, 75, 87, 99}}
* [[Nickel]] in EDOs: ................. {{EDOs|16, 21, 28}}
* [[Pajara]] in EDOs: ................. {{EDOs|22, 34, 56}}
* [[Pajarous]] in EDOs: ................. {{EDOs|22, 32, 54, 76, 120}}
* [[Passion]] in EDOs: ................. {{EDOs|25, 37, 49, 61, 73, 110}}
* [[Ripple]] in EDOs: ................. {{EDOs|71, 83, 95, 107, 119}}
* [[Semimeantone]] in EDOs: ................. {{EDOs|38, 50, 62}}
* [[Srutal]]/[[Srutal archagall]] in EDOs: ................. {{EDOs|22, 34, 46, 80, 114, 126}}
* [[Wronecki]] in EDOs: ................. {{EDOs|66, 78, 90, 102, 114, 126}}
<br><br>
==Random stuff I’d like to share==
===List of equal divisions including novelties===
* [[User:BudjarnLambeth/List of equal divisions including novelties]]
<br>


Romanian
===Hot takes===
200.
'''Everything in this section is opinion, not facts!'''
300.
600.
700.
900.
1000.
1200.


==== Nonoctave ====
'''Do not give any of it too much weight.'''


Super Ultra Hyper Mega Meta Lydian
* '''Silliness:''' We should take ourselves less seriously: we should have more fun, we should be more silly 🎉
200.
* '''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 [[:Category:Novelties|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.)
400.
* '''Importance of common names:''' I would prefer to use a temperament [[Temperament naming|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 [[damage|accurate]] and [[badness|technically better]] - a bland name can kill a temperament’s appeal, a fun name can create appeal out of nothing.
600.
* '''My opinion on zeta peak indexes:''' My view on to what degree [[zeta peak index]]es are useful or not.
700.


Sub Diminutive Infinitesimal Teensy Weensy Mixolydian
::: [[User:BudjarnLambeth/My opinion on zeta peak indexes]]
200.
* '''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:
400.
500.


=== 31EDO ===
::: [[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:


==== Minor scales ====
::: [[User:BudjarnLambeth/Brainstorming mostly bad ideas to solve the comma naming debate]]
 
<br><br>
Minor Harmonic Pentatonic X
309.6774193548387
503.2258064516129
696.7741935483871
1045.1612903225807
1200.000


Minor Harmonic Pentatonic Y
===Approximations of gamelan scales in edos up to 60===
309.6774193548387
* [[User:BudjarnLambeth/Edo approximations of gamelan scales]]
503.2258064516129
<br><br>
696.7741935483871
1122.5806451612902
1200.000
Minor Hexatonic
193.5483870967742
309.6774193548387
503.2258064516129
696.7741935483871
1006.4516129032259
1200.000
Minor Melodic
193.5483870967742
309.6774193548387
503.2258064516129
696.7741935483871
890.3225806451613
1083.8709677419356
1200.000
Minor Pentatonic
309.6774193548387
503.2258064516129
696.7741935483871
1006.4516129032259
1200.000
==== Modal scales ====
Dorian
193.5483870967742
309.6774193548387
503.2258064516129
696.7741935483871
890.3225806451613
1006.4516129032259
1200.000


Mixolydian Pentatonic
===Eagle JI subsets===
387.0967741935484
* [[User:BudjarnLambeth/Eagle JI subsets]]
503.2258064516129
<br><br>
696.7741935483871
1006.4516129032259
1200.000
Phrygian
116.12903225806451
309.6774193548387
503.2258064516129
696.7741935483871
812.9032258064516
1006.4516129032259
1200.000
 
Phrygian Pentatonic
116.12903225806451
309.6774193548387
696.7741935483871
812.9032258064516
1200.000
==== Blues scales ====
Blues Aeolian Hexatonic
309.6774193548387
503.2258064516129
619.3548387096774
696.7741935483871
812.9032258064516
1200.000


Blues Aeolian Pentatonic I
===12edo interpreted as a 2.3.5.17.19 subgroup temperament===
309.6774193548387
* [[User:BudjarnLambeth/12edo as a 2.3.5.17.19 tuning]]
503.2258064516129
<br><br>
696.7741935483871
812.9032258064516
1200.000


Blues Aeolian Pentatonic II
===Tunings for each subgroup===
309.6774193548387
* [[User:BudjarnLambeth/Tunings for each subgroup]]
696.7741935483871
<br><br>
812.9032258064516
1006.4516129032259
1200.000


Blues Dorian Pentatonic
===Gallery of xenharmonic word painting (you can contribute!)===
309.6774193548387
* [[User:BudjarnLambeth/Gallery of xenharmonic word painting]]
696.7741935483871
<br><br>
890.3225806451613
1006.4516129032259
1200.000


Blues Dorian Septatonic
===What I look for in a good xenharmonic piece===
309.6774193548387
The tuning sounds consonant, all the combinations of intervals you used sound within the same range of consonant-ness as all the combinations available in 12edo. There are more dissonant and less dissonant sections, but none that sound more dissonant than the maximum limit of dissonance I'm willing to tolerate (ie, the maximum amount of dissonance achievable with 12edo). All that is a long winded way of saying nothing sounds "out of tune".
503.2258064516129
619.3548387096774
696.7741935483871
890.3225806451613
1006.4516129032259
1200.000


Blues Harmonic Hexatonic
The timbre also sounds good. Despite being midi instruments, the samples used and whatever effects were applied to them (reverb, volume levels, etc.) all come together well into something that is more than the sum of its parts. The timbre works well with the tuning to create a kind of pleasant, warm glow.
193.5483870967742
309.6774193548387
503.2258064516129
696.7741935483871
1083.8709677419356
1200.000


Blues Harmonic Septatonic
The piece has enough dynamic range, sense of harmonic movement, and interaction between melody lines to hold my interest, to not sound bland, but instead sound captivating.
309.6774193548387
<br><br><br>
503.2258064516129
619.3548387096774
696.7741935483871
812.9032258064516
1083.8709677419356
1200.000
Blues Leading
309.6774193548387
503.2258064516129
580.6451612903226
696.7741935483871
1006.4516129032259
1083.8709677419356
1200.000
Blues Minor
309.6774193548387
503.2258064516129
619.3548387096774
696.7741935483871
1006.4516129032259
1200.000


==== Other scales ====
===Ratios as planets===
The ratios of the octave as celestial bodies of the solar system:
Dominant Pentatonic
* '''[[2/1]], the sun''', defining the overall structure of the entire octave.
193.5483870967742
* '''[[3/2]], Jupiter''', the biggest pull aside from the sun itself. Marks out a rough middle of the solar system.
387.0967741935484
* '''[[4/3]], Saturn''', a kind of echo of Jupiter. Vast and mighty in its own right, similar to Jupiter, but colder and subtler.
696.7741935483871
* '''[[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.
1006.4516129032259
* '''[[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).
1200.000
* '''[[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.
Kokin-Joshi
* '''[[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.
193.5483870967742
* '''[[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.
309.6774193548387
* '''[[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.
696.7741935483871
* '''[[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.
890.3225806451613
* '''[[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.
1200.000
<br><br>
 
Major Pentatonic
193.5483870967742
387.0967741935484
696.7741935483871
890.3225806451613
1200.000


Romanian
== Useful links for my own convenience ==
193.5483870967742
<br>
309.6774193548387
<big>[[User:BudjarnLambeth/Sandbox]]
580.6451612903226
<br>
696.7741935483871
<br>
890.3225806451613
[[User:BudjarnLambeth/Sandbox2]]
1006.4516129032259
<br>
1200.
<br>
[[Gallery of just intervals]]
<br>
<br>
[[Harmonic entropy of just intervals]]
<br>
<br>
[[User:Userminusone/Constructing a comma list using the Averiant]]
<br>
<br>
[[User:Ganaram inukshuk/Catalog of MOS Scales]]
</big>
Retrieved from "https://en.xen.wiki/w/User:BudjarnLambeth"