User:BudjarnLambeth: Difference between revisions

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

This is the user page of '''Budjarn Lambeth''', the wiki contributor and amateur music theorist.

==Personal information==

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

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==Music==

== Music ==

My favourite tracks I have made:)

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=~~iZI9x2Fto-A 60afdo~~ track ~~Dec 2024~~] (~~bright, spacious, slightly hypnotic 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=~~KsB9T9_6cGk 43edo~~ track ~~Nov 2024~~] (dark dungeon synth; loosely inspired by Indonesian [[gamelan]] music)

# [https://www.youtube.com/watch?v=tIwfO1lZWAc 21edo track May 2025] (dark dungeon synth; loosely inspired by Indonesian [[gamelan]] and Japanese music)

# [https://m.youtube.com/watch?v=~~CN4cLOyaVGE 29edo~~ track ~~Jan~~ 2024] (~~somber~~, ~~slow~~, ~~minimalist chiptune~~)

# [https://www.youtube.com/watch?v=iZI9x2Fto-A 60afdo track Dec 2024] (bright, spacious, tropical dungeon synth; loosely inspired by Greystar)

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====Invented approaches to constructing tunings ====

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

''Procedural approaches'':

* [[Basal subgroup]]s

* [[Half-prime subgroup|Half-basis, third-basis, quarter-basis, etc. subgroups]]

* [[Equalizer subgroup]]s

* [[Sin(x) tuning#Generalizations|Function(x) tuning]]s

* [[Polytriadic]] tunings

* [[Substitute harmonic]]s

* [[Tritavesque]] intervals

* ~~The~~ [[~~breuddwyd scale]]s~~

* [[Sin(x) tuning#Generalizations|Waveform(x) tuning]]s

* The [[breuddwyd scale|~~sonhar~~ tuning~~]]s~~

* The [[sooty fox scale]]s

* The [[breuddwyd scale|wijzerplaat scale⁠]]s

* [[Ed255/128|Equal divisions of 255/128]]

* [[Ed257/128|Equal divisions of 257/128]]

* ~~The~~ [[Gallery of arithmetic pitch sequences|APS#farab scales]]

* ~~The~~ [[Gallery of arithmetic pitch sequences|APS#gene scales]]

''Sculptural approaches'':

* ~~The~~ [[Gallery of arithmetic pitch sequences|APS#hekt scales]]

* [[Breuddwyd scale]]s

* ~~The~~ [[Gallery of arithmetic pitch sequences|APS#jot scales]]

* [[Breuddwyd scale|Sonhar tuning]]s

* ~~The~~ [[Gallery of arithmetic pitch sequences|APS#méride scales]]

* [[Sooty fox scale]]s

* ~~The~~ [[Gallery of arithmetic pitch sequences|APS#tina scales]]

* [[Breuddwyd scale|Wijzerplaat scale⁠]]s

* [[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]]

====Invented approaches to classifying tunings ====

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

* [[~~The~~ Riemann ~~Zeta Function~~ and ~~Tuning~~#Non-record edos|Anti-zeta EDOs]]

* [[the Riemann zeta function and tuning#Non-record edos|Anti-zeta EDOs]]

* [[~~The~~ Riemann ~~Zeta Function~~ and ~~Tuning~~#Non-record edos|Indecisive EDOs]]

* [[the Riemann zeta function and tuning#Non-record edos|Indecisive EDOs]]

* [[~~The~~ Riemann ~~Zeta Function~~ and ~~Tuning~~#Non-record edos|Local zeta EDOs]]

* [[the Riemann zeta function and tuning#Non-record edos|Local zeta EDOs]]

* [[~~The~~ Riemann ~~Zeta Function~~ and ~~Tuning~~#''k''-ary peak EDOs|Parker EDOs]]

* [[the Riemann zeta function and tuning#''k''-ary peak EDOs|Parker EDOs]]

* [[Human EDO size categorization]] (HUECAT)

* [[Metascale]]s

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====Invented tunings (scales)====

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

* The [[Shoal17#Scales|algal bloom]] scale

* The [[25edo#Scales|amulet]] scale

* The [[anisopteran scale]]

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* 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

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* 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]]

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* 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¢]]

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===Improvements===

====Significant page creations====

* Authored dozens of wanted pages about [[:Category:Composers|composers]]

* Authored several extensive [[:Category:Lists of scales|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 [[scale]]s

* Authored the pages about [[equipentatonic]] and [[equiheptatonic]] 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?]]”

** “[[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]]

====Bulk page improvements====

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* 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 [[Template:Temp gallery]] to all '[[User:BudjarnLambeth/Prominent temperament gallery pages|very highly prominent temperament gallery pages]]'

* 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

* Merged “useful tools” & “software” into [[Software|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)

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* 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.

* 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.

* 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 “'''[[969/968|the kingfisher comma]]'''” was the clear favourite, so I renamed the comma to the kingfisher comma.

* 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.

* 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.

* 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.

* 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.

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==== Construct diagrams or lists ====

* 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]]

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** [[4ed6]]

* 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

==== 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

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==Random stuff I’d like to share==

===List of equal divisions including novelties===

* [[User:BudjarnLambeth/List of equal divisions including novelties]]

===Hot takes===

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* '''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.)

* '''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.

* '''My opinion on zeta peak indexes:''' My view on to what degree [[zeta peak index]]es are useful or not.

::: [[User:BudjarnLambeth/My opinion on zeta peak indexes]]

* '''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:

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::: [[User:BudjarnLambeth/Brainstorming mostly bad ideas to solve the comma naming debate]]

* ~~'''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 ~~[[chord~~]]~~s and [[interval]]s viewed from that lens (that part ''is'' done):~~

===Approximations of gamelan scales in edos up to 60===

* [[User:BudjarnLambeth/Edo approximations of gamelan scales]]

~~:::~~ [[User:BudjarnLambeth/~~How I choose a subgroup for an EDO~~]]

===Eagle JI subsets===

* [[User:BudjarnLambeth/Eagle JI subsets]]

===12edo interpreted as a 2.3.5.17.19 subgroup temperament===

* [[User:BudjarnLambeth/12edo as a 2.3.5.17.19 tuning]]

===Tunings for each subgroup===

* [[User:BudjarnLambeth/Tunings for each subgroup]]

===Gallery of xenharmonic word painting (you can contribute!)===

* [[User:BudjarnLambeth/Gallery of xenharmonic word painting]]

===What I look for in a good xenharmonic piece===

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".

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.

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.

===Ratios as planets===

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<big>[[User:BudjarnLambeth/Sandbox]]

[[User:BudjarnLambeth/Sandbox2]]

@@ Line 1: / Line 1: @@
-Not to be confused with [[lambeth chords]] nor [[1573/1568]], the lambeth comma. Those are unrelated to me.
+This is the user page of '''Budjarn Lambeth''', the wiki contributor and amateur music theorist.
-==Personal information==
+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
@@ Line 8: / Line 10: @@
 <br><br>
-==Music==
+== Music ==
-My favourite tracks I have made:)
+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=iZI9x2Fto-A 60afdo track Dec 2024] (bright, spacious, slightly hypnotic 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=KsB9T9_6cGk 43edo track Nov 2024] (dark dungeon synth; loosely inspired by Indonesian [[gamelan]] music)
+# [https://www.youtube.com/watch?v=tIwfO1lZWAc 21edo track May 2025] (dark dungeon synth; loosely inspired by Indonesian [[gamelan]] and Japanese music)
-# [https://m.youtube.com/watch?v=CN4cLOyaVGE 29edo track Jan 2024] (somber, slow, minimalist chiptune)
+# [https://www.youtube.com/watch?v=iZI9x2Fto-A 60afdo track Dec 2024] (bright, spacious, tropical dungeon synth; loosely inspired by Greystar)
@@ Line 42: / Line 44: @@
 ====Invented approaches to constructing tunings ====
 These are the same category of thing as “equal temperaments”.
+''Procedural approaches'':
 * [[Basal subgroup]]s
 * [[Half-prime subgroup|Half-basis, third-basis, quarter-basis, etc. subgroups]]
 * [[Equalizer subgroup]]s
+* [[Sin(x) tuning#Generalizations|Function(x) tuning]]s
+* [[Polytriadic]] tunings
 * [[Substitute harmonic]]s
 * [[Tritavesque]] intervals
-* The [[breuddwyd scale]]s
+* [[Sin(x) tuning#Generalizations|Waveform(x) tuning]]s
-* The [[breuddwyd scale|sonhar tuning]]s
-* The [[sooty fox scale]]s
-* The [[breuddwyd scale|wijzerplaat scale⁠]]s
 * [[Ed255/128|Equal divisions of 255/128]]
 * [[Ed257/128|Equal divisions of 257/128]]
-* The [[Gallery of arithmetic pitch sequences|APS#farab scales]]
-* The [[Gallery of arithmetic pitch sequences|APS#gene scales]]
+''Sculptural approaches'':
-* The [[Gallery of arithmetic pitch sequences|APS#hekt scales]]
+* [[Breuddwyd scale]]s
-* The [[Gallery of arithmetic pitch sequences|APS#jot scales]]
+* [[Breuddwyd scale|Sonhar tuning]]s
-* The [[Gallery of arithmetic pitch sequences|APS#méride scales]]
+* [[Sooty fox scale]]s
-* The [[Gallery of arithmetic pitch sequences|APS#tina scales]]
+* [[Breuddwyd scale|Wijzerplaat scale⁠]]s
+* [[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]]
 ====Invented approaches to classifying tunings ====
 These are the same category of thing as “pentatonic scales”.
-* [[The Riemann Zeta Function and Tuning#Non-record edos|Anti-zeta EDOs]]
+* [[the Riemann zeta function and tuning#Non-record edos|Anti-zeta EDOs]]
-* [[The Riemann Zeta Function and Tuning#Non-record edos|Indecisive EDOs]]
+* [[the Riemann zeta function and tuning#Non-record edos|Indecisive EDOs]]
-* [[The Riemann Zeta Function and Tuning#Non-record edos|Local zeta EDOs]]
+* [[the Riemann zeta function and tuning#Non-record edos|Local zeta EDOs]]
-* [[The Riemann Zeta Function and Tuning#''k''-ary peak EDOs|Parker EDOs]]
+* [[the Riemann zeta function and tuning#''k''-ary peak EDOs|Parker EDOs]]
 * [[Human EDO size categorization]] (HUECAT)
 * [[Metascale]]s
@@ Line 73: / Line 82: @@
 ====Invented tunings (scales)====
 These are the same category of thing as “the chromatic scale”.
+* The [[Shoal17#Scales|algal bloom]] scale
 * The [[25edo#Scales|amulet]] scale
 * The [[anisopteran scale]]
@@ Line 86: / Line 96: @@
 * 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
@@ Line 110: / Line 131: @@
 * 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]]
@@ Line 121: / Line 156: @@
 * 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¢]]
@@ Line 192: / Line 233: @@
 ===Improvements===
 ====Significant page creations====
-* Authored dozens of wanted pages about [[:Category:Composers|composers]]
-* Authored several extensive [[:Category:Lists of scales|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 [[scale]]s
+* Authored the pages about [[equipentatonic]] and [[equiheptatonic]] 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?]]”
 ** “[[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]]
 ====Bulk page improvements====
@@ Line 207: / Line 248: @@
 * 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 [[Template:Temp gallery]] to all '[[User:BudjarnLambeth/Prominent temperament gallery pages|very highly prominent temperament gallery pages]]'
+* 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
-* Merged “useful tools” & “software” into [[Software|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)
@@ Line 240: / Line 285: @@
 * 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.
 * 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.
-* 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 “'''[[969/968|the kingfisher comma]]'''” was the clear favourite, so I renamed the comma to the kingfisher comma.
+* 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.
+* 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.
+* 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.
 * 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.
@@ Line 258: / Line 305: @@
 ==== Construct diagrams or lists ====
-* 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]]
@@ Line 284: / Line 326: @@
 ** [[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
 ==== 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
@@ Line 568: / Line 611: @@
 ==Random stuff I’d like to share==
+===List of equal divisions including novelties===
+* [[User:BudjarnLambeth/List of equal divisions including novelties]]
+<br>
 ===Hot takes===
@@ Line 577: / Line 624: @@
 * '''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.)
 * '''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.
+* '''My opinion on zeta peak indexes:''' My view on to what degree [[zeta peak index]]es are useful or not.
+::: [[User:BudjarnLambeth/My opinion on zeta peak indexes]]
 * '''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:
@@ Line 583: / Line 633: @@
 ::: [[User:BudjarnLambeth/Brainstorming mostly bad ideas to solve the comma naming debate]]
-* '''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 [[chord]]s and [[interval]]s viewed from that lens (that part ''is'' done):
+<br><br>
+===Approximations of gamelan scales in edos up to 60===
+* [[User:BudjarnLambeth/Edo approximations of gamelan scales]]
+<br><br>
-::: [[User:BudjarnLambeth/How I choose a subgroup for an EDO]]
+===Eagle JI subsets===
+* [[User:BudjarnLambeth/Eagle JI subsets]]
 <br><br>
+===12edo interpreted as a 2.3.5.17.19 subgroup temperament===
+* [[User:BudjarnLambeth/12edo as a 2.3.5.17.19 tuning]]
+<br><br>
+===Tunings for each subgroup===
+* [[User:BudjarnLambeth/Tunings for each subgroup]]
+<br><br>
+===Gallery of xenharmonic word painting (you can contribute!)===
+* [[User:BudjarnLambeth/Gallery of xenharmonic word painting]]
+<br><br>
+===What I look for in a good xenharmonic piece===
+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".
+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.
+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.
+<br><br><br>
 ===Ratios as planets===
@@ Line 607: / Line 682: @@
 <br>
 <big>[[User:BudjarnLambeth/Sandbox]]
+<br>
+<br>
+[[User:BudjarnLambeth/Sandbox2]]
 <br>
 <br>