User:BudjarnLambeth: Difference between revisions

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# [https://m.youtube.com/watch?v=scCuGXnj5IY 33edo track Feb 2024] (bright, lush, mellow and colourful synthwave)
# [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=_NepcrTf9ng Recording in my "Rocket temperament"] (melancholic, wistful dungeon synth; loosely inspired by [[Greystar]])
# [https://www.youtube.com/watch?v=bwGjN56iMM0 Shoal temperament track Feb 2025] (dark, moody, warm and gentle OST-type music)
# [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=iZI9x2Fto-A 60afdo track Dec 2024] (bright, spacious, slightly hypnotic dungeon synth; loosely inspired by Greystar)
# [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=KsB9T9_6cGk 43edo track Nov 2024] (dark dungeon synth; loosely inspired by Indonesian [[gamelan]] music)
# [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 tunings (scales)====
====Invented tunings (scales)====
These are the same category of thing as “the chromatic scale”.<small><small>
These are the same category of thing as “the chromatic scale”.
* The [[Shoal17#Scales|algal bloom]] scale
* The [[Shoal17#Scales|algal bloom]] scale
* The [[25edo#Scales|amulet]] scale
* The [[25edo#Scales|amulet]] scale
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* The [[27edo#Scales|direct sunlight]] scale
* The [[27edo#Scales|direct sunlight]] scale
* The [[Shoal17#Scales|driftwood]] scale
* The [[Shoal17#Scales|driftwood]] scale
* The [[Peppermint-24#Salt and pepper scale and its subsets|evacuated planet]] scale
* The [[firedance]] scale
* The [[firedance]] scale
* The [[5- to 10-tone scales in 60edo|fossa tetratonic]] scale
* The [[5- to 10-tone scales in 60edo|fossa tetratonic]] scale
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* The [[goldfish]] scale
* The [[goldfish]] scale
* The [[27edo#Scales|hypersakura]] 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|lemonade]] scale
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|liquorice]] scale
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|liquorice]] scale
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* The [[29edo#Scales|palace]] scale
* The [[29edo#Scales|palace]] scale
* The [[30edo#Scales|pelagic]] 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|purgatory]] scale
* The [[9edf#Scales|pylon]] scale
* The [[9edf#Scales|pylon]] scale
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* The [[47edo#Scales|sabertooth neutral]] scale
* The [[47edo#Scales|sabertooth neutral]] scale
* The [[47edo#Scales|sabertooth pentatonic]] 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 [[Shoal17#Scales|shoal17 over-9 tetrad]]
* The [[breuddwyd6|snow braid]] scale
* The [[breuddwyd6|snow braid]] scale
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* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|whitechocolate]] 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 [[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¢]]
* [[1ed148.5c|APS148.5¢]]
* [[1ed237.8c|APS237.8¢]]
* [[1ed237.8c|APS237.8¢]]
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* [[Gallery of arithmetic pitch sequences#APS of mérides|APS5/8méride]]
* [[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 mérides|APS7/12méride]]
* [[Gallery of arithmetic pitch sequences#APS of tinas|APS70tina]]</small></small>
* [[Gallery of arithmetic pitch sequences#APS of tinas|APS70tina]]


====Invented tunings (regular temperaments)====
====Invented tunings (regular temperaments)====
These are the same category of thing as “quarter-comma meantone temperament”.<small><small>
These are the same category of thing as “quarter-comma meantone temperament”.
* [[7921/7776|Attic]] temperament
* [[7921/7776|Attic]] temperament
* [[979/972|Basement]] temperament
* [[979/972|Basement]] temperament
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* [[Vavoom family#Void|Void]] temperament
* [[Vavoom family#Void|Void]] temperament
* [[Vavoom family#Vortex|Vortex]] temperament
* [[Vavoom family#Vortex|Vortex]] temperament
* [[Equalizer subgroup|Werecatler]] temperament</small></small>
* [[Equalizer subgroup|Werecatler]] temperament
<br><br>
<br><br>


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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 “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 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 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 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]]”, and I coined “'''[[octonion|octonion temperament]]'''”.
* 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.
* 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.
* 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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==== Improve pages I made ====
==== 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 [[User:Budjarn Lamberth/Gallery of xenharmonic word painting|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 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 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==
==Random stuff I’d like to share==
===List of equal divisions including novelties===
* [[User:BudjarnLambeth/List of equal divisions including novelties]]
<br>


===Hot takes===
===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.)
* '''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.
* '''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:  
* '''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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===Eagle JI subsets===
===Eagle JI subsets===
* [[User:BudjarnLambeth/Eagle JI subsets]]
* [[User:BudjarnLambeth/Eagle JI subsets]]
<br><br>
===Tunings for each subgroup===
* [[User:BudjarnLambeth/Tunings for each subgroup]]
<br><br>
<br><br>


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<br><br>
<br><br>


===Tunings used on the community rated pieces===
===Tunings for each subgroup===
This is a list of all tunings that are used by a piece which has at least 2 ratings, and an average score of at least 3/5, on the [[List of xenharmonic music by community ratings]].
* [[User:BudjarnLambeth/Tunings for each subgroup]]
 
<br><br>
This data was collected on 21 Apr 2025. In (brackets) beside each tuning is the number of qualifying pieces which use it, if more than 1:
 
 
; Just tunings
* [[RI]]
* [[2.3.7]]
 
 
; Regular temperaments
* [[Barbados]]
* [[Echidna]]
* [[Marvel]]
* [[Orgone]]
* [[Orwell]]
* [[Valentine]]


 
===Gallery of xenharmonic word painting (you can contribute!)===
; Equal tunings
* [[User:BudjarnLambeth/Gallery of xenharmonic word painting]]
* [[11edo]]
* [[13edo]] (2)
* [[15edo]]
* [[16edo]]
* [[17edo]] (3)
* [[18edo]]
* [[19edo]]
* [[20edo]]
* [[22edo]] (7)
* [[23edo]]
* [[25edo]]
* [[26edo]]
* [[27edo]] (4)
* [[31edo]] (4)
* [[34edo]]
* [[41edo]]
* [[53edo]]
* [[80edo]] (2)
* [[313edo]]
* ''Notably missing are EDOs {{EDOs|7, 8, 9, 10, 14, 21, 24, 28, 29, 30, 32 & 33}}.''
 
 
; Others
* [[Marveldene]]
 
 
; Bonus list (tunings used on tracks with a rating at least 3 but only 1 rating)
* [[13-limit]] JI
* [[16afdo]] (2)
* [[24afdo]]
* [[32afdo]] (2)
** Architect-JI (2nd gen)
* [[Centaur]] (JI)
* [[Harmonic series]] (JI)
* Triple harmonic series scale (JI)
* Young IM Piano scale (JI)
* [[Blackwood]]
* [[Madagascar]]
* [[Mavila]]
* [[Meantone]]
* [[Semaphore]]
* [[13edt]] (2)
* [[7edo]]
* [[10edo]]
* [[14edo]]
* [[28edo]]
* [[35edo]]
* [[36edo]]
* [[37edo]]
* [[45edo]] (3)
* [[94edo]]
* [[321edo]] (2)
* [[834edo]]
* [[9L 8s]] - 25:12
* ''Notably still missing are EDOs {{EDOs|8, 9, 21, 24, 29, 30, 32 & 33}}.''
<br><br>
<br><br>


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<br>
<br>
<big>[[User:BudjarnLambeth/Sandbox]]
<big>[[User:BudjarnLambeth/Sandbox]]
<br>
<br>
[[User:BudjarnLambeth/Sandbox2]]
<br>
<br>
<br>
<br>

Latest revision as of 09:06, 21 August 2025

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

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

Personal information



Music

My favourite tracks I have made :)

  1. 33edo track Feb 2024 (bright, lush, mellow and colourful synthwave)
  2. Recording in my "Rocket temperament" (melancholic, wistful dungeon synth; loosely inspired by Greystar)
  3. Compressed 8ve 80edo track Aug 2025 (contemporary classical improv on synthesizer)
  4. 21edo track May 2025 (dark dungeon synth; loosely inspired by Indonesian gamelan and Japanese music)
  5. 60afdo track Dec 2024 (bright, spacious, tropical dungeon synth; loosely inspired by Greystar)


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”.

Procedural approaches:

Sculptural approaches:

Invented approaches to classifying tunings

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

Invented tunings (scales)

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

Invented tunings (regular temperaments)

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



Improvements

Significant page creations

Bulk page improvements

Structural wiki improvements

• List and table creations

Constructed:

• Comma documentation and organisation

Name changes I was involved in

  • There was an old temperament that pre-dated my participation in the wiki. Its old, original name was “septimal temperament”. When I discovered the name, I disliked it because of its potential for confusion with other uses of the term “septimal”. I decided I wanted to change it. Many people on Discord, the Wiki Workgroup on XA Facebook, and the wiki talk page agreed. I coined the new name “austinpowers temperament” which has now replaced it.
  • There was an old temperament that pre-dated my participation in the wiki. Its old, original name was “catcall temperament”. When I discovered the name, I disliked it because it was 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 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 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 “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 temperament” for the first, and I coined “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 “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

Construct diagrams or lists

Improve pages I made

  • 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

Tobago6
101.53846
350.76923
600.
701.53846
950.76923
1200.

Zeus1
157.57576
387.87879
545.45455
703.03030
1042.42424
2/1

Oceanfront5
227.82
486.09
713.91
972.18
1200.

Oceanfront Ionian Pent.
455.64
486.09
713.91
1169.55
1200.

Oceanfront Minor Harmonic Pent.
258.27
486.09
713.91
1169.55
1200.

Oceanfront Mixolydian Pent.
455.64
486.09
713.91
972.18
1200.

Oceanfront Adrift Pent.
197.37
258.27
683.46
713.91
1200.

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

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

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

Slendric6
233.68421
467.36842
701.05263
934.73684
966.31579
1200.

Tobago6
101.53846
350.76923
600.
701.53846
950.76923
1200.

Zeus1
157.57576
387.87879
545.45455
703.03030
1042.42424
1200.

Oceanfront5
227.82
486.09
713.91
972.18
1200.

Oceanfront Ionian Pent.
455.64
486.09
713.91
1169.55
1200.

Oceanfront Minor Harmonic Pent.
258.27
486.09
713.91
1169.55
1200.

Oceanfront Mixolydian Pent.
455.64
486.09
713.91
972.18
1200.

Oceanfront Adrift Pent.
197.37
258.27
683.46
713.91
1200.

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

Evened Minor Hexatonic
187.500
312.500
500.000
700.000
987.500
1200.000

Evened Phrygian Dominant Hexatonic
112.500
387.500
500.000
712.500
987.500
1200.000

Flattened Blues Aeolian Pentatonic
287.500
487.500
687.500
787.500
1200.000

Flattened Blues Minor Maj7
287.500
500.000
600.000
700.000
1100.000
1200.000

Roughened Blues Dorian Pentatonic
300.000
700.000
912.500
987.500
1200.000

Sharpened Blues Aeolian Pentatonic
312.500
712.500
800.000
1000.000
1200.000

Sharpened Blues Dorian Hexatonic
312.500
512.500
712.500
900.000
1012.500
1200.000

Sharpened Blues Harmonic Septatonic
312.500
512.500
612.500
712.500
812.500
1112.500
1200.000

Sharpened Dorian Harmonic
212.500
312.500
612.500
712.500
912.500
1012.500
1200.000

Sharpened Hirajoshi
200.000
312.500
700.000
812.500
1200.000

Sharpened Kokin-Joshi
200.000
312.500
700.000
900.000
1200.000

Sharpened Minor Pentatonic
312.500
500.000
700.000
1012.500
1200.000

Xenharmonify 12edo scales

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



Random stuff I’d like to share

List of equal divisions including novelties


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.
  • My opinion on zeta peak indexes: My view on to what degree zeta peak indexes 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:
User:BudjarnLambeth/Cultural appropriation-o-meter
  • Comma naming debate brainstorm: A futile attempt I made to try to begin resolving one of the big behind the scenes debates among wiki editors:
User:BudjarnLambeth/Brainstorming mostly bad ideas to solve the comma naming debate



Approximations of gamelan scales in edos up to 60



Eagle JI subsets



12edo interpreted as a 2.3.5.17.19 subgroup temperament



Tunings for each subgroup



Gallery of xenharmonic word painting (you can contribute!)



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

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

User:BudjarnLambeth/Sandbox2

Gallery of just intervals

Harmonic entropy of just intervals

User:Userminusone/Constructing a comma list using the Averiant

User:Ganaram inukshuk/Catalog of MOS Scales

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