BudjarnLambeth
Joined 22 July 2022
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'''Not to be confused with''' ''[[lambeth chords]]'' nor ''[[1573/1568]] (the lambeth comma)''. Those are unrelated to me. | |||
</div> | |||
<br> | |||
This is the user page of '''Budjarn Lambeth''', an amateur, hobbyist: | |||
* wiki contributor | |||
* [[scalesmith]] | |||
* music theorist | |||
* improviser-composer | |||
<br><br> | |||
; Personal information | |||
* Location: New South Wales, Australia | |||
* Born: 1999 | |||
* Pronouns: he/she | |||
* Nationality: Bundjalung (Aboriginal) and Australian | |||
* Contactable at: https://www.facebook.com/budjarnlambeth/ or on my [[User talk:BudjarnLambeth|talk page]] | |||
<br><br> | |||
I | == Music I made == | ||
My original microtonal music is hosted on YouTube: | |||
* [https://www.youtube.com/playlist?list=PLVHnByvMeRTqRGiICQelMy_tdDVIDKEXn '''Best pieces (playlist)'''] | |||
https:// | Playlist contents: | ||
{| class="wikitable sortable" style="width:100%; text-align:left;" | |||
! Title !! Date !! Link!! Tuning / Notes | |||
|- | |||
| '''Enchanted Shopping Mall''' || 2024-02 || [https://m.youtube.com/watch?v=scCuGXnj5IY YouTube]|| 33edo, flattertone[7] scale; synthwave | |||
|- | |||
| '''The Wound''' || 2024-11 || [https://m.youtube.com/watch?v=_NepcrTf9ng YouTube]|| Rocket[19]/Deutone[19], 5-tone subset - 'cosmic scale'; electronic contemporary classical | |||
|- | |||
| '''The Odd Effects of Breathing the Fairy Dust''' || 2026-03 || [https://m.youtube.com/watch?v=YDbqf3g88BE YouTube]|| 59edo, porcupine[15] scale; electronic contemporary classical | |||
|- | |||
| '''Fennec Temple''' || 2020 || [https://m.youtube.com/watch?v=lIEmJTPkSFQ YouTube]|| 14edo, 7-tone fennec scale; piece for electronic flutes | |||
|- | |||
| '''The Bells in the Rain''' || 2025-05 || [https://m.youtube.com/watch?v=tIwfO1lZWAc YouTube]|| 21edo, pelog-like pentatonic; electronic contemporary classical; using a custom scale for struck metal timbres | |||
|- | |||
| '''Bubblegum''' || 2024-12 || [https://m.youtube.com/watch?v=iZI9x2Fto-A YouTube]|| 5edo (approximated within 60afdo); electronic contemporary classical | |||
|- | |||
| '''Wilderness''' || 2020 || [https://m.youtube.com/watch?v=L2mkP_y-idc YouTube]|| 22edo, superpyth[6] scale; piece for strings | |||
|- | |||
| '''Blackened Skies''' || 2020 || [https://m.youtube.com/watch?v=eWMRJihZbPc YouTube]|| 72edo, modified blues scale; darksynth | |||
|- | |||
| '''Odd Findings in the Caves''' || 2025-10 || [https://m.youtube.com/watch?v=aWqdWHSk5J4 YouTube]|| 343edo, lucite[23] scale; electronic contemporary classical | |||
|- | |||
| '''Lighting the Jack-o'-lanterns''' || 2025-10 || [https://m.youtube.com/watch?v=ZPXaMTdTSgw YouTube]|| 35edo, Blackwood[20] scale; electronic contemporary classical | |||
|- | |||
| '''Will-O-Wisps''' || 2025-11 || [https://m.youtube.com/watch?v=JrpcIkElKQc YouTube]|| 27edo, will-o-wisp scale; electronic contemporary classical | |||
|- | |||
| '''Grady Olympos Staircase Tuning Chord Progression''' || 2024-04 || [https://m.youtube.com/watch?v=q1sZkMZVUCE YouTube]|| Darksynth | |||
|- | |||
| '''Moody Improvisation in Shoal Temperament''' || 2025-02 || [https://m.youtube.com/watch?v=bwGjN56iMM0 YouTube]|| Shoal temperament; electronic contemporary classical | |||
|- | |||
| '''Ibex''' || 2025-12 || [https://m.youtube.com/watch?v=CqBmABrTRas YouTube]|| 13edo, 6-tone ibex scale; electronic contemporary classical | |||
|} | |||
<br><br> | |||
== | == Xenharmonic groups I'm affiliated with == | ||
I'm a contributor to: | |||
* the Xenharmonic Wiki | |||
** [[Xenharmonic Wiki:WikiProject Just Intonation]] | |||
* the [[Xenharmonic Alliance]] on both Discord and Facebook | |||
** the [[Monthly Tunings]] Facebook group | |||
* the Xenrhythmic Alliance | |||
** [https://discord.gg/jQRHUWCHKa Xenrhythm Zone] Discord server | |||
** the [https://xenrhythmic.fandom.com/wiki/The_Xenrhythm_Wikia Xenrhythmic Wiki] | |||
* the [https://microtonal.miraheze.org/wiki/Main_Page Microtonal Encyclopedia] | |||
<br><br> | |||
== | == My favourite microtonal music & composers == | ||
; Composers | |||
''(alphabetical order)'' | |||
* [[Mike Battaglia]] | |||
* [[Benyamind]] | |||
* [[Brendan Byrnes]] | |||
* [[Tolgahan Çoğulu]] | |||
* [[Greystar]] | |||
* [[Maeve Gutierrez]] | |||
* [[JUMBLE]] | |||
* [[King Gizzard & the Lizard Wizard]] | |||
* [[Merct]] | |||
* [[Sevish]] | |||
; Music | |||
YouTube playlists curated by me: | |||
* ''[https://youtube.com/playlist?list=PLVHnByvMeRTrborLUEpRk9Tgbu_r4UnUi Actually good microtonal music''] | |||
* ''[https://m.youtube.com/playlist?list=PLVHnByvMeRTpA7ssMn48WemxL4EQmnpdT 1 great track in every EDO from 10edo to 31edo (plus some extra bonus tunings)''] | |||
* my Apple Music playlists (mostly not microtonal, but some are): ''[https://music.apple.com/profile/budjarn @budjarn Apple Music playlists].'' | |||
<br><br><br> | |||
==My music theory work== | |||
I have written some of my own amateur music theory research which I publish to this wiki. | |||
===AI overview of my work=== | |||
'''I don't and won't ever use AI for contributions to actual wiki pages''', I'm '''only ever using it to summarize my own user page''' (this page). | |||
Also, I did '''not''' ask the AI to scrape the wiki, I used my own local copies of my pages from my computer to ask the AI about. | |||
==== [[User:BudjarnLambeth/Structural beating|Structural beating]] ==== | |||
Lambeth hypothesized this property for equal-step tunings where the '''[[period]]''' of the scale '''differs''' from the interval of '''psychoacoustic [[equivalence]]''' (usually the octave, 2/1). | |||
* '''Effect:''' Because the scale repeats at an interval different from the ear's point of equivalence, the scale creates a macro-scale "beating" or phasing effect as it ascends or descends. | |||
* '''Goal:''' This is considered a desirable property that makes a periodic scale feel less repetitive, offering shifting colors and shapes ("something from nothing"). | |||
* '''Examples:''' Equal divisions of sevenths (e.g., ed7/4) or ninths (ed16/9) if the equivalence is the octave. | |||
==== [[User:BudjarnLambeth/Polytriadic|Polytriadicism]] ==== | |||
Lambeth's polytriadic method involves tuning an ensemble (of 2 or more instruments/groups) so that each is tuned to a different '''triad''' or subset of a larger overarching scale. | |||
* '''Application:''' It allows composers to approach complex temperaments (like those without consonant small MOS scales) or large [[just intonation]] sets by breaking them down into simpler, manageable triadic parts. | |||
17 | * '''Function:''' It can be used to "flag" different rhythmic elements harmonically or to create complex, interweaving voice lines that generate consonance from the aggregate of the instruments. | ||
* '''Example:''' '''[[Shoal17|Shoal[17]]]''', a 17-tone MOS scale in the Shoal temperament (a 2.3.13.23 subgroup detemper of 17edo), is cited as a prime candidate for this approach. | |||
==== [[User:BudjarnLambeth/Equalizer subgroup|Equalizer subgroups]] ==== | |||
Lambeth's equalizer subgroup method involves tuning to a [[just intonation subgroup]] designed to balance specific types of harmonics to achieve a specific aesthetic. | |||
* '''Criteria:''' | |||
** '''Structural Harmonics (2, 3, 4, 5):''' 2 or 3 present. They provide stability and "tonal gravity." | |||
** '''Assertive Harmonics (5–12):''' '''None''' present. These are excluded because they have "strong personalities" that define the scale's flavor too rigidly. | |||
** '''Ethereal Harmonics (13+):''' At least 3 present. These provide subtle, background influence. | |||
* '''Goal:''' To allow subtle "ethereal" harmonics to shine by removing the "assertive" middle harmonics, akin to using an EQ to cut mids and boost highs/lows. | |||
* '''Examples:''' Subgroups like (2.3.5.13.17.19) used in Lambeth's Fifigeist temperament. | |||
==== [[User:BudjarnLambeth/Substitute harmonic|Substitute harmonics]] ==== | |||
Lambeth's substitute harmonic method involves replacing a simple, lower harmonic with a complex, higher harmonic that closely approximates it, thereby "fudging" the tuning into a different subgroup. | |||
* '''Sharp Substitutes:''' Replacing a harmonic with a slightly sharper higher harmonic. Lambeth names these temperaments after weapons or with "com"-ending names (e.g., '''Daggerminished''', '''Pajaraxe''', '''Dotcom''', '''Sitcom''', '''Romcom'''). | |||
* '''Flat Substitutes:''' Replacing with a flatter harmonic. Naming convention involves flat regions (e.g., '''Sahara'''). | |||
==== [[User:BudjarnLambeth/Quasipelog theory|Quasipelog theory]] ==== | |||
Lambeth's quasipelog theory is a framework for approaching '''[[16edo]]''' (and other EDOs supporting the '''2.3.5.11 [[mavila]] temperament''', like {{EDOs|EDOS 23, 30, 37, and 39}}). It is inspired by Indonesian [[Gamelan]] theory, the [[Armodue]] school, and [[Erv Wilson]]'s [[MOS]] scales. | |||
* '''Concept:''' It focuses on specific scales that mimic the feel of Pelog scales but within a 16-tone equal temperament context. | |||
* '''Scales:''' The theory defines four essential scales derived from Mavila MOS modes: | |||
** '''Quasipelog Minor:''' Mode ''ssLsL'' of mavila[5]. | |||
** '''Quasipelog Major:''' Mode ''LssLs'' of mavila[5]. | |||
** '''Quasipelog Heptatonic:''' Mode ''ssLssLs'' of mavila[7]. | |||
** '''Quasipelog Chromatic:''' A mavila[16] MOS scale (7 fifths up, 8 down). | |||
* '''Timbre:''' A key part of the theory is the avoidance of harmonic timbres. Lambeth recommends "inharmonic" sounds such as metallophones, bells, or "thin/reedy" waveforms (like sine or woodwinds) to complement the tuning. | |||
==== Scalesmithing work ==== | |||
Lambeth has constructed numerous original scales and temperaments. | |||
* '''[[User:BudjarnLambeth/Batch 89 temperaments|Batch 89 Temperaments]]:''' A set of temperaments first documented in 2023, honoring the characters from ''Guardians of the Galaxy Vol. 3''. Each tempers 4 harmonics: the 2nd, the 89th (representing shared trauma), and two others derived from the character's name via A1Z26 cipher. | |||
** '''Floor:''' 2.3.11.89 (Neutral related). | |||
** '''Teefs:''' 2.5.11.89 (Bug related). | |||
** '''Rocket:''' 2.9+.9-.89 (Lu/Deutone related). | |||
* '''Ed255/128 and Ed257/128:''' These are "Equal Divisions of Reduced Harmonics." | |||
** '''[[User:BudjarnLambeth/Ed255/128|Ed255/128]]:''' Divides the interval 255/128 (slightly flatter than an octave). Useful for correcting EDOs where consonances are too sharp (e.g., used as an alternative to 5edo). | |||
** '''[[BudjarnLambeth/Ed257/128|Ed257/128]]:''' Divides the interval 257/128 (slightly sharper than an octave). Useful for correcting EDOs where consonances are too flat (e.g., alternative to 7edo). | |||
* '''[[User:BudjarnLambeth/Antipental blues|Antipental Blues]] scale:''' A 6-tone scale subset of the [[Dwarf17marv]] scale. It mimics the melodic shape of the minor blues scale but uses exotic 2.3.7.11 intervals (7/6, 11/8, 7/4) instead of the standard 5-limit intervals. | |||
* '''[[User:BudjarnLambeth/Moon dust|Moon Dust]] scale:''' A 16-tone just intonation scale with a period of 16/1 (four octaves). It features dynamic step sizes and a mix of familiar 3-limit harmonies with xenharmonic 19-limit (no-5, no-13) intervals. | |||
* '''[[Firedance]] scale:''' A 5-tone subset of zeta-stretched 15edo (47zpi). It was designed by ear, starting from 5edo and adjusting steps by degrees of 15edo. | |||
==== Tuning recommendations ==== | |||
Lambeth recommends the following tunings for Western musicians exploring world music traditions: | |||
* '''For Gamelan scales (Pelog/Slendro):''' He recommends specific EDOs that approximate these scales well. His personal favorite is '''44edo'''. Other good approximations include 21, 23, 35, 39, 40, 42, 54, and 60edo. | |||
** More detailed version: [[User:BudjarnLambeth/Edo approximations of gamelan scales]] | |||
* '''For Japanese scales:''' He prefers '''Meantone''' temperaments in '''55edo''', '''98edo''', or '''43edo''' (approx. 1/5-comma meantone). He generally dislikes 5-limit JI or Pythagorean tunings for these scales, finding the "wolf" intervals objectionable. | |||
** More detailed version: [[User:BudjarnLambeth/Some tunings for Japanese scales]] | |||
==== Original music ==== | |||
Since late 2023, Budjarn Lambeth has cultivated a prolific hobbyist career as a microtonal composer, turning his YouTube channel into a public laboratory for xenharmonic experimentation. Utilizing a specialized toolkit—including Scale Workshop, ThumbJam, GeoShred, AudioKit Synth One and Audacity—Lambeth explores the mathematical "cracks between the keys" of standard tuning. His work is defined by a process-driven curiosity and an open-source spirit, frequently offering his compositions as "free to use" while providing educational links to tuning theory. His output is remarkably diverse, spanning everything from 19EDO (Equal Division of the Octave) to complex just intonation and obscure temperaments like Orwell and Sensi. | |||
The artistic trajectory of Lambeth’s career reached a significant milestone in August 2024 with "Four Improvisations in 21-Tone Equal Temperament," which remains his flagship work with over 1,700 views and a perfect 100% like ratio. This success signaled a shift from purely technical tuning demonstrations to more atmospheric and narrative-driven compositions. Earlier highlights, such as the surreal "Enchanted Shopping Mall" (33EDO) and the playful "Bubblegum," demonstrated his ability to make alien scales feel emotionally accessible. | |||
By 2025 and 2026, Lambeth’s work matured into more cinematic and evocative territory, evidenced by titles like "The Odd Effects of Breathing the Fairy Dust" (59EDO) and "Rain in the Crystal Mirror Caves." While some of his more radical experiments—such as those in smaller, more dissonant edos like 15edo and 16edo—have occasionally polarized his listeners, he maintains a dedicated niche audience that values his unique blend of rigorous music theory and poetic sensibility. | |||
<br><br> | |||
==Wiki contributions== | |||
===Improvements to the broader wiki=== | |||
====Significant page creations==== | |||
* 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 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==== | |||
* Added dozens of sources and inline citations to the [[historical temperaments]] page | |||
* Added infobox, intro, intervals, modes, subheadings & todo categories to dozens of previously close-to-empty [[MOS scale]] pages | |||
* 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) | |||
* 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' | |||
* Constructed the 5-, 6-, 7-, 8-, 9-, 10-, 11- and 12-period tables on the [[map of rank-2 temperaments]] | |||
* Heavily added to the 2-, 3- and 4-period tables on the [[map of rank-2 temperaments]] | |||
* Merged “useful tools” & “software” into [[Software|one unified page]] | |||
* Created circle diagrams for dozens of [[hexany]] pages using [[Nick Vuci]]'s circle diagram maker | |||
====Structural wiki improvements==== | |||
* Added categories & formatting tags to several hundred [[:Category:Pages with Scala files|pages with Scala files]] | |||
* 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) | |||
* Created [[Template:Navbox Lumatone]] with very extensive help from [[User:ArrowHead294]] | |||
** With ArrowHead294’s extensive help, incorporated the template into over 50 pages for [[:Category:Lumatone mappings]] | |||
* Ran a survey of editors, created the [[Xenharmonic Wiki:Optional guidelines for interval page todo categories]] (XW:IntTodo) from the results, and ensured all interval pages were categorized in line with XW:IntTodo | |||
===== (list and table creations) ===== | |||
Constructed: | |||
* [[List of taxicab-2 intervals]] | |||
* [[User:BudjarnLambeth/Table of n-comma meantone generators]] | |||
* [[Harmonic entropy of just intervals]] | |||
* [[Table of zeta-stretched edos]] | |||
===== (comma documentation and organisation) ===== | |||
* Added all missing commas from “[[:Category:Large commas]]” to the table on the page “[[Large commas]]” | |||
* Added all missing commas from “[[:Category:Medium commas]]” to the table on the page “[[Medium commas]]” | |||
* Added all missing commas from “[[:Category:Small commas]]” to the table on the page “[[Small comma]]” | |||
* Added all missing commas from “[[:Category:Unnoticeable commas]]” to the table on the page “[[Unnoticeable commas]]” | |||
* Constructed “[[:Category:Commas by name]]” and its many subcategories | |||
* Categorised all 5, 7, 11, 13, 17, 19, 23 and >23 limit large commas into ’Commas by name’ subcategories | |||
* Categorised all 5, 7, 11, 13, 17, 19, 23 and >23 limit medium commas into ’Commas by name’ subcategories | |||
* Categorised all 5, 7, 11, 13, 17, 19, 23 and >23 limit small commas into ’Commas by name’ subcategories | |||
* Categorised all 5, 7, 11, 13, 17, 19, 23 and >23 limit unnoticeable commas into ’Commas by name’ subcategories | |||
* Conducted the [[User:BudjarnLambeth/Survey of named and unnamed commas]] | |||
==== Name changes I was involved in ==== | |||
===== (correcting confusing names) ===== | |||
* 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 “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 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. | |||
* 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]]'''”. | |||
===== (correcting divisive or hurtful names) ===== | |||
* 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 “catamite temperament”. When I discovered the name, I disliked it because it referenced a historical practice that often involved child abuse. I decided I wanted to change it. I suggested the change on the talk page where it received no replies, and the Discord where it received few reactions but those it did receive were in favour. I coined the new name “'''[[Amity family#Stalagmite|stalagmite 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 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. | |||
==== Full list of contributions ==== | |||
* [[Special:Contributions/BudjarnLambeth]] | |||
<br><br> | |||
=== Pages I wrote about my own discoveries=== | |||
====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 | |||
* [[User:BudjarnLambeth/Quasipelog theory|Quasipelog theory]] | |||
* [[Substitute harmonic]]s | |||
* [[Tritavesque]] intervals | |||
* [[Sin(x) tuning#Generalizations|Waveform(x) tuning]]s | |||
* [[Ed255/128|Equal divisions of 255/128]] | |||
* [[Ed257/128|Equal divisions of 257/128]] | |||
''Sculptural approaches'': | |||
* [[Breuddwyd scale]]s | |||
* [[Breuddwyd scale|Sonhar tuning]]s | |||
* [[Sooty fox scale]]s | |||
* [[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|Indecisive EDOs]] | |||
* [[the Riemann zeta function and tuning#Non-record edos|Local zeta peak EDOs]] | |||
* [[the Riemann zeta function and tuning#Non-record edos|Local zeta valley EDOs]] | |||
* [[the Riemann zeta function and tuning#''k''-ary peak EDOs|Parker EDOs]] | |||
* [[Human EDO size categorization]] (HUECAT) | |||
* [[Metascale]]s | |||
* [[Runoff]] scales | |||
* [[Structural beating]] | |||
====Invented tunings (scales)==== | |||
These are the same category of thing as “the chromatic scale”. | |||
===== (named after theory properties) ===== | |||
* The [[User:BudjarnLambeth/Antechinus|antechinus]] scale | |||
* The [[breuddwyd inverse]] scale | |||
* The [[breuddwyd6|breuddwyd-6]] scale | |||
* The [[35edo#Scales|fourfourths]] scale | |||
* The [[Maeve Gutierrez#Gutierrez-Lambeth otonal neutral hexatonic|Gutierrez-Lambeth otonal neutral hexatonic]] scale | |||
* The [[38edo#Scales|hemisettled11]] scale | |||
* The [[38edo#Scales|hemisettled16]] scale | |||
* The [[27edo#Scales|hypersakura]] scale | |||
* The [[8afdo#Scales|ionosphere]] scale | |||
* The [[30edo#Scales|iron filing]] scale | |||
* The [[9edf#Scales|molten pelog]] scale | |||
* The [[9edf#Scales|molten slendro]] scale | |||
* The [[38edo#Scales|nineteenplus]] scale | |||
* The [[oclock]] scale | |||
* The [[37edo#Scales|opalised ammonite]] scale | |||
* The [[47edo#Scales|quasi-equiheptatonic minor pentatonic]] scale | |||
* The [[35edo#Scales|secund chance]] scale | |||
* The [[Shoal17#Scales|shoal17 over-9 tetrad]] | |||
* The [[38edo#Scales|tame bison]] scale | |||
* The [[38edo#Scales|tame possum]] scale | |||
* The [[User:BudjarnLambeth/Trippy warped hirajoshi scale|trippy warped hirajoshi scale]] (''credit shared with [[Moonshine The Yellow Toaster]]'') | |||
* The [[35edo#Scales|undecimal quasi-equipentatonic]] scale | |||
* The [[35edo#Scales|undecimal minor hexatonic]] scale | |||
* The [[35edo#Scales|undecimal Mixolydian]] scale | |||
* The [[breuddwyd inverse|vinyl braid]] scale | |||
* The [[38edo#Scales|well-tempered 19-in-38]] scale | |||
* The [[Maeve Gutierrez#Will-o-wisps' scale|will-o-wisps']] scale | |||
* The [[26ed5#13ed5plus|13ed5plus]] scale | |||
* The [[antipental blues]] scale ''and its expansions'': | |||
** The [[35edo#Scales|antipental blues maj 6th]] scale | |||
** The [[35edo#Scales|antipental blues neutral 7th]] scale | |||
** The [[35edo#Scales|antipental blues maj 7th]] scale | |||
** The [[35edo#Scales|antipental blues harmonic]] scale | |||
* ''(subsets of [[blackwood]][20]):'' | |||
** The [[35edo#Scales|blackwood neutral nonatonic]] scale | |||
** The [[35edo#Scales|blackwood pseudo-Akebono neutral]] scale | |||
** The [[35edo#Scales|blackwood pseudo-Akebono supermajor]] scale | |||
** The [[35edo#Scales|blackwood pseudo-Hirajoshi]] scale | |||
** The [[35edo#Scales|blackwood pseudo-pelog]] scale | |||
** The [[35edo#Scales|blackwood-tempered 5afdo]] scale | |||
** The [[35edo#Scales|blackwood undecimal harmonic]] scale | |||
* ''(expansions of [[Maeve Gutierrez#Gutierrez sunbreak scale|Gutierrez's sunbreak scale]]):'' | |||
** The [[Maeve Gutierrez#Gutierrez sunbreak scale|chromaticized sunbreak]] scale | |||
** The [[Maeve Gutierrez#Gutierrez sunbreak scale|mirrored sunbreak]] scale | |||
** The [[Maeve Gutierrez#Gutierrez sunbreak scale|negative harmony sunbreak]] scale | |||
** The [[Maeve Gutierrez#Gutierrez sunbreak scale|fractalized sunbreak]] scale | |||
* The [[User:BudjarnLambeth/Volcanic glass|volcanic glass]] scale | |||
* All the scales listed at: [[User:BudjarnLambeth/Quasipelog theory]] | |||
===== (named after subjective feeling) ===== | |||
* The [[Shoal17#Scales|algal bloom]] scale | |||
* The [[25edo#Scales|amulet]] scale | |||
* The [[anisopteran scale]] | |||
* The [[14afdo#Scales|apex]] scale | |||
* The [[30edo#Scales|bathypelagic]] scale | |||
* The [[blackened skies]] scale | |||
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|bubblegum]] scale | |||
* The [[67edo#Scales|bustling docks]] scale | |||
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|candycorn]] scale | |||
* The [[16afdo#Scales|canopy]] scale | |||
* The [[30edo#Scales|carousel]] scale | |||
* The [[67edo#Scales|cavernous]] scale | |||
* The [[35edo#Scales|clear pond]] 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 [[30edo#Scales|dusty]] scale | |||
* The [[User:BudjarnLambeth/Hall of mirrors#Enrichment scale|enrichment]] scale | |||
* The [[Peppermint-24#Salt and pepper scale and its subsets|evacuated planet]] scale | |||
* The [[firedance]] scale | |||
* The [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|fishcrackers]] scale | |||
* The [[67edo#Scales|formicarium]] 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 [[26edo#Scales|free range]] scales | |||
* The [[goldfish]] scale | |||
* The [[91edo#Scales|greyed skies]] scale | |||
* The [[User:BudjarnLambeth/Hall of mirrors|hall-of-mirrors]] scale | |||
* The [[13edo#Scales|ibex]] 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 [[8afdo#Scales|metamorphic]] scale | |||
* The [[35edo#Scales|meta-monsoon]] scale | |||
** The [[5- to 10-tone scales in 47zpi|monsoon]] scale | |||
** The [[35edo#Scales|monsoon major]] scale | |||
** The [[35edo#Scales|monsoon otonal]] scale | |||
* The [[16afdo#Scales|moonbeam]] scale | |||
* The [[moon dust]] scale | |||
* The [[30edo#Scales|nightdrive]] 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 [[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]] scales | |||
* The [[Peppermint-24#Salt and pepper scale and its subsets|salt and pepper]] scale | |||
* The [[63edo#Scales|sandcastle]] scale | |||
* 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 [[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 [[5- to 10-tone scales from the modes of the harmonic series#Macrotonal NEJI edos|tropicalpunch]] scale | |||
* The [[Batch 89 temperaments#Example inflected MOS scale: UFO scale|UFO scale]] | |||
* The [[8afdo#Scales|ultraviolet]] scale | |||
* The [[8afdo#Scales|undercurrent]] scale | |||
* The [[67edo#Scales|understory]] scale | |||
* The [[8afdo#Scales|upwelling]] 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 [[125edo#Scales|meta-tropolis]] scale ''and its subsets'': | |||
** The [[125edo#Scales|city-at-dawn]] scale | |||
** The [[125edo#Scales|city-at-midday]] scale | |||
** The [[125edo#Scales|city-at-dusk]] scale | |||
** The [[125edo#Scales|city-at-midnight]] scale | |||
** The [[125edo#Scales|port-at-dawn]] scale | |||
** The [[125edo#Scales|port-at-midday]] scale | |||
** The [[125edo#Scales|port-at-dusk]] scale | |||
** The [[125edo#Scales|port-at-midnight]] scale | |||
=====([[polymicrotonal]])===== | |||
* The [[20edo#Modes|8-tone 4&5edo scale]] | |||
* The [[28edo#Scales|10-tone 4&7edo scale]] | |||
* The [[30edo#Scales|10-tone 5&6edo scale]] | |||
* The [[36edo#Scales|12-tone 4&9edo scale]] | |||
* The [[40edo#Scales|12-tone 4&10edo scale]] | |||
* The [[40edo#Scales|12-tone 5&8edo scale]] | |||
* The [[45edo#Scales|12-tone 5&9edo scale]] | |||
* The [[80edo#Scales|12-tone 5&16edo scale]] | |||
* The [[42edo#Scales|12-tone 6&7edo scale]] | |||
* The [[24edo scales#Dodecatonic|12-tone 6&8edo scale]] | |||
* The [[30edo#Scales|12-tone 6&10edo scale]] | |||
* The [[30edo#Scales|12-tone 6&15edo scale]] | |||
* The [[80edo#Scales|12-tone 8&10edo scale]] | |||
* The [[80edo#Scales|12-tone 8&20edo scale]] | |||
* The [[36edo#Scales|12-tone 9&12edo scale]] | |||
* The [[30edo#Scales|12-tone 10&15edo scale]] | |||
* The [[36edo#Scales|12-tone 12&18edo scale]] | |||
* The [[45edo#Scales|13-tone 5&9edo scale]] | |||
* The [[30edo#Scales|14-tone 6&10edo scale]] | |||
* The [[80edo#Scales|14-tone 8&10edo scale]] | |||
* The [[80edo#Scales|14-tone 8&20edo scale]] | |||
* The [[80edo#Scales|16-tone 5&16edo scale]] | |||
* The [[30edo#Scales|12-tone 6&15edo scale]] | |||
* The [[36edo#Scales|18-tone 9&12edo scale]] | |||
* The [[36edo#Scales|18-tone 12&18edo scale]] | |||
* The [[35edo#Scales|20-tone blackwood&greenwood]] scale | |||
* The [[30edo#Scales|20-tone 10&15edo scale]] | |||
* The [[35edo#Scales|24-tone blackwood&greenwood]] scale | |||
=====([[arithmetic pitch sequence]])===== | |||
* [[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]] | |||
* The [[Gallery of arithmetic pitch sequences#APS of tinas|Argentina]] scale | |||
====Invented tunings (regular temperaments)==== | |||
These are the same category of thing as “quarter-comma meantone temperament”. | |||
* [[7921/7776|Attic]] temperament | |||
* [[979/972|Basement]] temperament | |||
* [[Subgroup temperaments#Blacktetra|Blacktetra]] temperament | |||
* [[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> | |||
=== | === (To-do) === | ||
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 :) | |||
==== WikiProject Just Intonation ==== | |||
* Recruit more members (especially an expert on [[Harry Partch]], an expert on [[Erv Wilson]], or an expert on [[primodality]]). | |||
* Examine the names of all Scala file pages and rename those with confusing or ambiguous names. | |||
* Find all examples of multiple similar Scala file pages (eg "exampletone10", "exampletone15", "exampletone_major") and merge them into scale galleries. | |||
* Record improvisations using JI scales that have no music examples, and post those as examples on the relevant scale pages. | |||
==== Structural wiki improvements ==== | |||
* Fix the issues found in the [[User:BudjarnLambeth/Map of linear temperaments page health survey]] | |||
* Improve scales sections of pages:{{EDOs| | |||
** 21edo | |||
** 26edo | |||
** 32edo | |||
** 33edo | |||
** 34edo | |||
** 37edo | |||
** 39edo | |||
** 40edo | |||
** 46edo | |||
** 53edo}} | |||
* Add “[[:Category:Temperaments]]” to all temperament [[special:ListRedirects|redirects]] | |||
==== Construct diagrams or lists ==== | |||
* Add every temperament from the 3 Middle Path table pages and every temperament from [[Survey of efficient temperaments by subgroup]] to the tables on [[Map of linear temperaments]] and [[Map of rank-2 temperaments]] | |||
* For every temperament on the page [[Survey of efficient temperaments by subgroup]], generate a [[Scala]] file of whichever of its MOS scales is closest to (2 x its [[graham complexity]]). List all the Scala files in a wiki page along the lines of “Scala files for efficient subgroup temperaments” or something like that and link it from the Survey page | |||
* Make all the wanted tables listed in [[:Category:Todo:add rank 2 temperaments table]] | |||
* Make manual, curated tables of [[interval]]s for:<small> | |||
** [[8ed5/4]] to 9ed5/4 | |||
** [[4ed4/3]] to 8ed4/3 | |||
** [[4ed5/3]] to 6ed5/3 | |||
** [[11ed5/3]] | |||
** [[5ed7/4]] to 12ed7/4 | |||
** [[5ed9/5]] to 7ed9/5 | |||
** [[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> | |||
==== 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 ==== | |||
* 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]]”: | |||
<pre> | |||
Tobago6 | |||
101.53846 | |||
350.76923 | |||
600. | |||
701.53846 | |||
950.76923 | |||
1200. | 1200. | ||
Zeus1 | |||
157.57576 | |||
387.87879 | |||
545.45455 | |||
703.03030 | |||
1042.42424 | |||
1200. | 1200. | ||
Oceanfront5 | |||
227.82 | |||
486.09 | |||
713.91 | |||
972.18 | |||
1200. | 1200. | ||
Oceanfront Ionian Pent. | |||
455.64 | |||
486.09 | |||
713.91 | |||
1169.55 | |||
1200. | 1200. | ||
Oceanfront Minor Harmonic Pent. | |||
258.27 | |||
486.09 | |||
713.91 | |||
1169.55 | |||
1200. | 1200. | ||
Oceanfront Mixolydian Pent. | |||
455.64 | |||
486.09 | |||
713.91 | |||
972.18 | |||
1200. | 1200. | ||
Oceanfront Adrift Pent. | |||
197.37 | |||
258.27 | |||
683.46 | |||
713.91 | |||
1200. | 1200. | ||
</pre> | |||
* 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]]”: | |||
<pre> | |||
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. | 1200. | ||
Tobago6 | |||
101.53846 | |||
350.76923 | |||
600. | |||
701.53846 | |||
950.76923 | |||
1200. | 1200. | ||
Zeus1 | |||
157.57576 | |||
387.87879 | |||
545.45455 | |||
703.03030 | |||
1042.42424 | |||
1200. | 1200. | ||
Oceanfront5 | |||
227.82 | |||
486.09 | |||
713.91 | |||
972.18 | |||
1200. | 1200. | ||
Oceanfront Ionian Pent. | |||
455.64 | |||
486.09 | |||
713.91 | |||
1169.55 | |||
1200. | 1200. | ||
Oceanfront Minor Harmonic Pent. | |||
258.27 | |||
486.09 | |||
713.91 | |||
1169.55 | |||
1200. | 1200. | ||
Oceanfront Mixolydian Pent. | |||
455.64 | |||
486.09 | |||
713.91 | |||
972.18 | |||
1200. | 1200. | ||
Oceanfront Adrift Pent. | |||
197.37 | |||
258.27 | |||
683.46 | |||
713.91 | |||
1200. | 1200. | ||
</pre> | |||
* 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 | |||
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 | |||
</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}} | |||
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== Random stuff I'd like to share == | |||
===Reference lists and technical resources=== | |||
====List of equal divisions including novelties==== | |||
* [[User:BudjarnLambeth/List of equal divisions including novelties]] | |||
====Tunings for each subgroup==== | |||
* [[User:BudjarnLambeth/Tunings for each subgroup]] | |||
====12edo interpreted as a 2.3.5.17.19 subgroup temperament==== | |||
* [[User:BudjarnLambeth/12edo as a 2.3.5.17.19 tuning]] | |||
====Stats and surveys about the wiki==== | |||
* [[User:BudjarnLambeth/Survey of 100 random wiki pages]] | |||
* [[User:BudjarnLambeth/Survey of todo categories]] | |||
* [[User:BudjarnLambeth/Survey of named and unnamed commas]] | |||
* [[Tuning regulars]] | |||
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===Scale recommendations=== | |||
====Neji scales I found while tinkering in Scale Workshop==== | |||
* [[User:BudjarnLambeth/Neji scales I found while tinkering in Scale Workshop]] | |||
====Approximations of gamelan scales in edos up to 60 (in my opinion)==== | |||
* [[User:BudjarnLambeth/Edo approximations of gamelan scales]] | |||
====Some good tunings of Japanese scales (in my opinion)==== | |||
* [[User:BudjarnLambeth/Some tunings for Japanese scales]] | |||
====My favourite hexanies using at least one odd greater than 15==== | |||
* [[User:BudjarnLambeth/My favourite hexanies using at least one odd greater than 15]] | |||
====Eagle JI subsets==== | |||
* [[User:BudjarnLambeth/Eagle JI subsets]] | |||
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===Community projects I started=== | |||
====Gallery of xenharmonic word painting (you can contribute!)==== | |||
* [[User:BudjarnLambeth/Gallery of xenharmonic word painting]] | |||
====The 13 levels of xenharmony (you can contribute!)==== | |||
* [[User:BudjarnLambeth/13 levels of xenharmony]] | |||
====WikiProject Just Intonation (you can contribute!) ==== | |||
* [[Xenharmonic Wiki:WikiProject Just Intonation]] | |||
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===Personal=== | |||
====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 [[: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 which intervals matter in a tuning system/the criteria for a good general-purpose tuning:''' | |||
::: [[User:BudjarnLambeth/The intervals I see as important]] | |||
* '''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: | |||
::: [[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]] | |||
* '''Rating my wiki contributions''' | |||
::: [[User:BudjarnLambeth/Rating my wiki contributions]] | |||
====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. | |||
==== A commentary on my experiences of using different tunings ==== | |||
The scales I've made my best music with are: | |||
* 13edo (6-tone subset) | |||
* 14edo (7-tone subset) | |||
* Deutone[19] (5-tone subset for melody, approximated harmonic series segments for embellishment) | |||
* 21edo (pelog-like 5-tone subset for melody, approximated harmonic series segments for embellishment) | |||
* 22edo (Superpyth[6] - I know it's not a MOS - for melody, approximated harmonic series segments for embellishment) | |||
* Lucite[23] aka well tempered 23edo (pelog-like 5-tone subset for melody, approximated harmonic series segments for embellishment) | |||
* 27edo (this JI scale approximated into 27edo: 7/6, 4/3, 3/2, 9/5, 2/1, 13/6, 7/3, 8/3, 3/1, 17/5, 19/5, 4/1 (period)) | |||
* 33edo (Flattertone[7] for melody, approximated harmonic series segments for embellishment) | |||
* 43edo (Han-Kumoi scale, a subset of Meantone[7], for melody, Meantone[19] for embellishment) | |||
* 72edo (7-tone quasi-blues scales for melody, approximated harmonic series segments for embellishment) | |||
Whether or not this was a fluke or there was something special about these scales, I'm not sure. Most of the music I make is for the XA Monthly Tunings group (because it motivates me to create for whatever reason), so most tunings I've tried so far, I've only spent a single month with. So when something turns out good, it's hard to tell if it's because the tuning has some characteristic that works for me, or if it's because I just had a good month. | |||
But whatever the reason, it just so happens that those tracks I made that did turn out good, used these tunings. | |||
So I guess in general for me, I like using 5- to 7-tone subsets of larger 10- to 45-tone tunings, roughly. | |||
==== | ====Fun: 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. | |||
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==== | == Useful links for my own convenience == | ||
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<big>[[User:BudjarnLambeth/Sandbox]] | |||
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[[User:BudjarnLambeth/Sandbox2]] | |||
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[[Gallery of just intervals]] | |||
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[[Harmonic entropy of just intervals]] | |||
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[[User:Userminusone/Constructing a comma list using the Averiant]] | |||
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[[User:Ganaram inukshuk/Catalog of MOS Scales]] | |||
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