Gallery of 12-tone tempered scales: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Map your chosen scale to a standard [[Halberstadt keyboard]] and you are on your way!
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2014-06-06 00:16:09 UTC</tt>.<br>
: The original revision id was <tt>513056190</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Map your chosen scale to a standard Halberstadt keyboard and you are on your way!


==[[MOSScales|MOS scales]]==  
== Shape-based ==
* [[meaneb471a|Meantone(12)]] because tradition must be respected
=== [[MOS scale]]s ===
* [[ratwolf]] Eleven fifths of (418/5)^(1/11) and one 20/13 wolf
* [[blackbirds12]] – Blackbirds[12] in 82\180 tuning
* [[mavila-eb]] Mavila[12] in f^4-10f+10 equal beating tuning and meantone order
* [[diminished12]] – Diminished[12] in [[44edo]]
//[[http://micro.soonlabel.com/gene_ward_smith/transformers/hopper.mp3|Hopper]]// by Singer-Medora-White-Smith; At The Hop in f^4-10f+10 mavila
* [[flattone12]] – Flattone[12] in 13-limit POTE tuning
* [[pajara12]] Pajara[12] in POTE tuning
* [[mavila-eb]] – Mavila[12] in f^4-10f+10 equal beating tuning and meantone order''
* [[12-22a]] Superpyth[12] in 22edo: Paul Erlich, TL 4-4-2000
** [http://micro.soonlabel.com/gene_ward_smith/transformers/hopper.mp3 Hopper]'' by Singer-Medora-White-Smith; At The Hop in f^4-10f+10 mavila
* [[12-27]] Augene[12] in 27edo: Herman Miller's Galticeran scale
* [[meaneb471a|Meantone(12)]] – because tradition must be respected
* [[diminished12]] Diminished[12] in [[44edo]]
* [[pajara12]] – Pajara[12] in POTE tuning
* [[flattone12]] Flattone[12] in 13-limit POTE tuning
* [[ratwolf]] – Eleven fifths of (418/5)^(1/11) and one 20/13 wolf
* [[blackbirds12]] Blackbirds[12] in 82\180 tuning
* [[12-22a]] – Superpyth[12] in 22edo: Paul Erlich, TL 4-4-2000
* [[12-27]] – Augene[12] in 27edo: Herman Miller's Galticeran scale


==[[Marvel family|Marvel]] tempered scales==  
=== [[MODMOS scale]]s ===
* [[marveldene]] the all-weather marvel-tempered [[duodene]]
* [[igliashon]] – Meantone MODMOS created for Igliashon Jones in 74et
* [[prismarv]] marvel tempering of [[prism]] (and diadie1)
* [[keenan]] – Fokker/Keenan meantone MODMOS in 31et
* [[centmarv]] marvel tempered [[centaur]] (and meandin)
* [[meteoroid]] – Andrew Heathwaite's meantone MODMOS, 31et tuning
* [[hahn12marv]] marvel tempered [[hahn12]]
** [http://micro.soonlabel.com/31edo/andrews12of31-1-harp_flute.mp3 Andrew’s 12 of 31 for Flute and Harp] by [http://chrisvaisvil.com/?p=3055 Chris Vaisvil]
* [[hexymarv]] marvel tempered [[hexy]]
* [[wilson gh50]] – Golden Horagram nr.50: 7phi+2 / 17phi+5
* [[pump12_1]]
* [[12-22h|12-22h]] – Pajara MODMOS: Hexachordal 12-tone scale in 22-tET
//[[http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3|Pump1 by Chris Vaisvil]]//
* [[pump12_2]]
* [[linemarv12]]
* [[prisun]] unimarv tempered [[pris]]
* [[highschool1uni]] unimarv tempered first highschool scale
* [[highschool2uni]] unimarv tempered second highschool scale
* [[dekany-cs-marv]] unimarv tempered dekany-cs
* [[smithgw_tetra]]
 
==[[Regular Temperaments|Other temperament]] tempered scales==  
* [[12-Adams]] 12 out of 72-TET scale by Prent Rodgers
//[[http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/drum21-t19.mp3|Pomp &amp; Parade #19]]//, by [[http://ripnread.com/?p=731|Prent Rodgers]]
//[[http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/drum22-t15.mp3|Shews #15]]//, by [[http://ripnread.com/?p=753|Prent Rodgers]]
* [[12highschool1-rodan]] 12highschool1 tempered in 13-limit POTE-tuned rodan
* [[12highschool2-miracle]] 12highschool2 tempered in 11-limit POTE-tuned miracle
* [[breedball3-miracle]] breedball3 tempered in POTE-tuned 11-limit miracle
* [[hexy-miraculous]] hexy in 13-limit POTE-tuned miraculous
* [[biggulp-bunya]] biggulp tempered in POTE-tuned 13-limit bunya
* [[hexanys-valentino]] hexanys tempered in 13-limit POTE-tuned valentino
* [[blueji-cataclysmic]] blueji tempered in 13-limit POTE-tuned cataclysmic
* [[yekta-cataclysmic]] yekta tempered in 13-limit POTE-tuned cataclysmic
* [[stelhex-catakleismic]] stelhex tempered in 13-limit POTE-tuned catakleismic
* [[glumma-hendec]] glumma tempered in 13-limit POTE-tuned hendec
* [[simp12hitch]] [[simp12]] tempered in hitchcock, 99edo tuning
* [[malco]] malcolm tempered in malcolm temperament, 94et tuning
* [[bihexanymyna]] myna tempered [[bihexany]]
* [[duohexmean]] meantone tempered [[duohex]]
* [[novadene]] starling tempered [[duodene_skew]]
* [[parapyth12]] A triple Fokker block of the 2.3.7.11.13 temperament called "parapyth"
//[[http://micro.soonlabel.com/various/20121027_organ.mp3|Organ]]//, by Chris Vaisvil
* [[mixed-quarters]] Chris Vaisvil's 24edo scale
//[[http://micro.soonlabel.com/24et/20130817_mixed_quartertones.mp3|The Bitter Bride]]//
//[[http://micro.soonlabel.com/24et/20130817_mixed_quartertones_happy.mp3|Dancing in Plasticine Grass]]//
by [[http://chrisvaisvil.com/two-pieces-in-5-quarterflat/|Chris Vaisvil]]
* [[plum]] 46 equal tempered 686/675 pump scale
* [[elevenplus]] 11edo plus the 22edo fifth
* [[freiseed]] Jake Freivald's starling scale
//[[https://soundcloud.com/jdfreivald/a-seed-planted-starling-pure|A Seed Planted]]// [[http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/a_seed_planted-starling-pure.mp3|play]] by Jake Freivald
 
==[[Hobbits]]==
* [[archytas12]], [[archytas12synch]]
//[[http://micro.soonlabel.com/hobbit_scales/daily201031--hobbit-archytas12.mp3|12 archytas hobbits with ale]]// by Chris Vaisvil
//[[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/Archytas12%20sync%20Study%203.mp3|Portrait of a Tragedy (Death of a Son) - Archytas12 sync Study 3]]// by Joel Taylor


=== [[Hobbit]]s ===
* [[archytas12]], [[archytas12synch]]''
** [http://micro.soonlabel.com/hobbit_scales/daily201031--hobbit-archytas12.mp3 12 archytas hobbits with ale]'' by Chris Vaisvil
** ''[http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/Archytas12%20sync%20Study%203.mp3 Portrait of a Tragedy (Death of a Son) - Archytas12 sync Study 3]{{dead link}}'' by Joel Taylor
* [[ares12]]
* [[ares12]]
* [[jubilismic12]]
* [[jubilismic12]]
* [[marvel12]]
* [[minerva12]]
* [[minerva12]]
* [[nakika12]]
* [[nakika12]]
* [[starling12]]
* [[thrush12]]
* [[thrush12]]
* [[unimarv12]]
* [[unimarv12]]
* [[marvel12]]
* [[starling12]]


==Tempered [[Just intonation subgroups|subgroup scales]]==  
=== [[EDO]] subsets ===
* [[omahat]] 243/242 tempered 2.3.11 subgroup scale
''(Only added to this subheading if it doesn't belong under another subheading.)''
* [[unimajorpenta]] 896/891 tempered 2.3.11/7 subgroup scale
* [[12-Adams]] – 12 out of 72-TET scale by Prent Rodgers''
* [[cantonpenta]] 352/351 and 364/363 tempered 2.3.11/7.13/7 subgroup scale
** [http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/drum21-t19.mp3 Pomp &amp; Parade #19]{{dead link}}'', by [http://ripnread.com/?p=731 Prent Rodgers]
** //[[@http://www.soundcloud.com/jdfreivald/cantonese-bagatelle|Jake Freivald "Cantonese Bagatelle"]]// [[http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/Cantonese_Bagatelle__Ohio__That_Is__by_jdfreivald.mp3|play]]
** ''[http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/drum22-t15.mp3 Shews #15]{{dead link}}'', by [http://ripnread.com/?p=753 Prent Rodgers]
* [[elevenplus]] – 11edo plus the 22edo fifth
* [[eagle 53]] – 12 of [[53edo]]
* [[mixed-quarters|mixed-quarters]] – Chris Vaisvil's 24edo scale''
** [http://micro.soonlabel.com/24et/20130817_mixed_quartertones.mp3 The Bitter Bride]'' and ''[http://micro.soonlabel.com/24et/20130817_mixed_quartertones_happy.mp3 Dancing in Plasticine Grass]'' by [http://chrisvaisvil.com/two-pieces-in-5-quarterflat/ Chris Vaisvil]
* [[Werntz Nocturne scale]]: 2 1 1 2 2 1 1 2 2 1 1 2 (described by [[Julia Werntz]], [[18edo]] subset, [[polymicrotonal]] scale of [[6edo]] + [[9edo]])
* ''[[Budjarn Lambeth]] polymicrotonal scales'':
** 12-tone 4&9edo polymicrotonal scale: 4 4 1 3 4 2 2 4 3 1 4 4  (polymicrotonal [[36edo]] subset)
** 12-tone 9&12edo polymicrotonal scale: 4 2 2 4 3 3 3 3 3 3 2 4  (polymicrotonal [[36edo]] subset)
** 12-tone 12&18edo polymicrotonal scale: 4 4 2 2 3 3 3 3 2 4 2 4  (polymicrotonal [[36edo]] subset)
** 12-tone 5&16edo scale: 5 9 4 5 7 8 8 7 5 4 9 5 (polymicrotonal [[80edo]] subset)
** 12-tone 8&10edo scale: 10 6 4 4 8 8 8 8 4 4 6 10 (polymicrotonal [[80edo]] subset)
** 12-tone 8&20edo scale: 4 6 10 4 8 8 8 8 4 10 6 4 (polymicrotonal [[80edo]] subset)
 
== Temperament-based ==
 
=== [[Marvel_family|Marvel]] tempered scales ===
* [[centmarv]] – marvel tempered [[centaur]] – (and meandin)
* [[dekany-cs-marv]] – unimarv tempered dekany-cs
* [[hahn12marv]] – marvel tempered [[hahn12]]
* [[hexymarv]] – marvel tempered [[hexy]]
* [[highschool1uni]] – unimarv tempered first highschool scale
* [[highschool2uni]] – unimarv tempered second highschool scale
* [[linemarv12]]
* [[marveldene]] – the all-weather marvel-tempered [[duodene]]
* [[prismarv]] – marvel tempering of [[prism (scale)|prism]] – (and diadie1)
* [[prisun]] – unimarv tempered [[pris]]
* [[pump12_1]]''
** [http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3 Pump1 by Chris Vaisvil]''
* [[pump12_2]]
* [[sixtetwoo]]
** [[Music in sixtetwoo]]
* [[smithgw tetra]]
 
=== Other [[regular temperament]]-based scales===
* [[biggulp-bunya]] – biggulp tempered in POTE-tuned 13-limit bunya
* [[bihexanymyna]] – myna tempered [[bihexany]]
* [[breedball3-miracle]] – breedball3 tempered in POTE-tuned 11-limit miracle
* [[blueji-cataclysmic|blueji-cataclysmic]] – blueji tempered in 13-limit POTE-tuned cataclysmic
* [[User:BudjarnLambeth/435zpi|CPS (1 of 3 5 9 11 15 19 25 27 29 33 37 41) tempered to 435zpi]]
* [[User:BudjarnLambeth/435zpi|CPS (11 of 3 5 9 11 15 19 25 27 29 33 37 41) tempered to 435zpi]]
* [[duohexmean]] – meantone tempered [[duohex]]
* [[freiseed]] – Jake Freivald's starling scale''
** [https://soundcloud.com/jdfreivald/a-seed-planted-starling-pure A Seed Planted]'' by Jake Freivald
* [[glumma-hendec|glumma-hendec]] – glumma tempered in 13-limit POTE-tuned hendec
* [[hexanys-valentino|hexanys-valentino]] – hexanys tempered in 13-limit POTE-tuned valentino
* [[hexy-miraculous]] – hexy in 13-limit POTE-tuned miraculous
* [[malco]] – malcolm tempered in malcolm temperament, 94et tuning
* [[125edo#Scales|meta-tropolis]] - 12-tone subset of catakleismic[34], 125edo tuning
* [[novadene]] – starling tempered [[duodene skew]]
* [[parapyth12]] – A triple Fokker block of the 2.3.7.11.13 temperament called "parapyth"''
** [http://micro.soonlabel.com/various/20121027_organ.mp3 Organ]'', by Chris Vaisvil
* [[Peppermint-24]] subsets
** [[Peppermint-24#Single chain|peppermint12chain]] - 12 of [[Peppermint-24]]
** [[Peppermint-24#Salt and pepper scale and its subsets|salt&pepper]] - another 12 of [[Peppermint-24]]
** [[Peppermint-24#Ketchup and mustard scale and its subsets|ketchup&mustard]] - another 12 of [[Peppermint-24]]
* [[plum]] – 46 equal tempered 686/675 pump scale
* [[shoal17#Over 10 tones/octave|shoal quasi-chromatic]] – 12 of [[shoal17]]
* [[simp12hitch]] – [[simp12]] – tempered in hitchcock, 99edo tuning
* [[stelhex-catakleismic|stelhex-catakleismic]] – stelhex tempered in 13-limit POTE-tuned catakleismic
* [[tapek-ribbon|tapek-ribbon]] – Eq-diff ribbon extension of Superpyth, made of two Tapek sequences
* [[tunbar12]] – [[625/624]], 1000/999 tempered [[Duodene skew|duodene_skew]] – and its alteration
* [[vinodene]] – 726/725, 1045/1044, [[1089/1088]], and [[1216/1215]] – tempered [[duodene]]
* [[vicinodene]] – 7425/7424 tempered duodene
* [[wooster12]] – 576/575, 2001/2000 tempered (6/5)(5/4) (skewed) duodene
* [[wooster12a]] – its strictly proper alteration (additionally tempered by 1216/1215)
* [[yekta-cataclysmic|yekta-cataclysmic]] – yekta tempered in 13-limit POTE-tuned cataclysmic
* [[12highschool2-miracle]] – 12highschool2 tempered in 11-limit POTE-tuned miracle
* [[12highschool1-rodan]] – 12highschool1 tempered in 13-limit POTE-tuned rodan
 
=== Tempered [[subgroup]] scales ===
* [[cantonpenta]] – 352/351 and 364/363 tempered 2.3.11/7.13/7 subgroup scale
** ''[http://www.soundcloud.com/jdfreivald/cantonese-bagatelle Jake Freivald "Cantonese Bagatelle"]''
* [[landscape12]] – 729/728, 1275/1274, 2025/2023 tempered 2.3.5.7.13.17 subgroup scale
* [[landscape12a]] – 1701/1700, 2025/2023, 2176/2175 tempered 2.3.5.7.17.29 subgroup scale
* [[omahat]] – 243/242 tempered 2.3.11 subgroup scale
* [[unimajorpenta]] – 896/891 tempered 2.3.11/7 subgroup scale
 
=== [[Circulating temperament]]s & [[Circle of fifths|circles of intervals]] ===
* [[bifrost]] – Six meantone fifths, four pure fifths
* [[cauldron]] – Circulating scale with two pure 9/7 thirds
** [http://micro.soonlabel.com/temperaments/cauldron/20140604_12note_cauldron_gene.mp3 For the Unknown Children of Tuam, Galway] by [http://chrisvaisvil.com/for-the-unknown-children-of-tuam-galway-cauldron-circulating-temperament/ Chris Vaisvil]
* [[corrette2]] – Michel Corrette, modified meantone temperament (1753)
* [[couperin]] – Couperin modified meantone
* [[grail]] – Holy Grail circulating scale
* [[johnson-secor rwt]] – Aaron Krister Johnson and George Secor's equal-beating rational well temperament
* [[johnson-temp]] – Aaron Krister Johnson, circulating temperament based on 5/4, 24/19, 19/15 backbone
* [[kirnberger]] – Kirnberger III, letter to Forkel 1779
* [[mounos]] – Mounos extended fifths -c sequence, quasi-septimal minor diatonic scale
* [[ozancirc]] – Ozan Yarman's 159-equal circulating scale
* [[qcmte84a]] – Margo Schulter temperament extraordinaire
* [[rainbow]] – rainbow/meanquarw3 modified 1/4-comma meantone
* [[secor_wt10]] – Secor's 12-tone well-temperament, proportional beating
* [[soria]] – 12 from a 17-notes cycle, equal-beating extended fifths (705.57 c.) sequence
* [[sireine f]] – Sequence of 11 Sireine low meantone fifths (exactly 691.2348426 c.) from F
* [[werck3]] – Andreas Werckmeister's temperament III
* [[vallotti]] – Vallotti &amp; Young scale (Vallotti version)
* [[val-werck|val-werck]]
* [[young2]] – Thomas Young well temperament no.2 (1799)


==[[Lesfip scales]] and other optimizations==
=== Others ===
* [[val-werck]]
* [[User:BudjarnLambeth/Antechinus|antechinus]] (subset of [[porcupine]][15])
* [[blue]]
** ''[http://micro.soonlabel.com/blue-tuning/daily20101124-piano-blue-temperament-perseverance.mp3 Chris Vaisvil "Perseverance"]''
* [[baran]] – Shaahin Mohajeri's Baran scale
* [[ifbis]] – Ifbis -c 12 tones sequence (not traditional)
* [[ligon]] – Jacky Ligon's strictly proper all-prime scale
* [[millerop]]
* [[millerop]]
* [[blue]]
* [[rast matrix]] – Neutral third sequence, approximates ''Rast'' on white keys and other [[Maqam|maqamat]]
** //[[http://micro.soonlabel.com/blue-tuning/daily20101124-piano-blue-temperament-perseverance.mp3|Chris Vaisvil "Perseverance"]]//
* [[raven]] – John O'Sullivan's raven scale
* [[raven]] John O'Sullivan's raven scale
** ''[http://micro.soonlabel.com/Raven/20120626-raven-explore.mp3 Raven Explore]'' by Chris Vaisvil
** //[[http://micro.soonlabel.com/Raven/20120626-raven-explore.mp3|Raven Explore]]// by Chris Vaisvil
* [[raven2]] – John O'Sullivan's raven2 scale
* [[raven2]] John O'Sullivan's raven2 scale
** ''[http://micro.soonlabel.com/Raven/20130915_psalm_4_NIV_a_capella.mp3 Psalm 4 in Dorian mode of Raven 2 Tuning]'' by Chris Vaisvi
** //[[http://micro.soonlabel.com/Raven/20130915_psalm_4_NIV_a_capella.mp3|Psalm 4 in Dorian mode of Raven 2 Tuning]]// by Chris Vaisvil
* [[sumer]] – Neutral diatonic soft ''Rast''-like scale with Ishku -c variations


==Linear recurrence scales, rational intonation, etc==
{{Navbox scale gallery}}
* [[tapek-ribbon]] Eq-diff ribbon extension of Superpyth, made of two Tapek sequences
* [[soria]] 12 from a 17-notes cycle, equal-beating extended fifths (705.57 c.) sequence
* [[mounos]] Mounos extended fifths -c sequence, quasi-septimal minor diatonic scale
* [[ifbis]] Ifbis -c 12 tones sequence (not traditional)
* [[sireine_f]] Sequence of 11 Sireine low meantone fifths (exactly 691.2348426 c.) from F
* [[sumer]] Neutral diatonic soft Rast scale with Ishku -c variations
* [[rast_matrix]] Neutral third sequence, Rast on white keys and other maqamat
* [[baran]] Shaahin Mohajeri's Baran scale
* [[ligon]] Jacky Ligon's strictly proper all-prime scale


===MODMOS===
[[Category:Lists of scales|12-tone tempered scales]]
* [[igliashon]] Meantone MODMOS created for Igliashon Jones in 74et
[[Category:12-tone scales| ]]
* [[12-22h]] Pajara MODMOS: Hexachordal 12-tone scale in 22-tET
[[Category:Tempered scales| ]]
* [[keenan]] Fokker/Keenan meantone MODMOS in 31et
[[Category:Listen]]
* [[meteoroid]] Andrew Heathwaite's meantone MODMOS, 31et tuning
[[http://micro.soonlabel.com/31edo/andrews12of31-1-harp_flute.mp3|Andrew’s 12 of 31 for Flute and Harp]] by [[http://chrisvaisvil.com/?p=3055|Chris Vaisvil]]
* [[wilson_gh50]] Golden Horagram nr.50: 7phi+2 / 17phi+5
==Circulating fifths==
* [[werck3]] Andreas Werckmeister's temperament III
* [[vallotti]] Vallotti &amp; Young scale (Vallotti version)
* [[kirnberger]] Kirnberger III, letter to Forkel 1779
* [[young2]] Thomas Young well temperament no.2 (1799)
* [[courette2]] Michel Corrette, modified meantone temperament (1753)
* [[couperin]] Couperin modified meantone
* [[qcmte84a]] Margo Schulter temperament extraordinaire
* [[rainbow]] rainbow/meanquarw3 modified 1/4-comma meantone
* [[grail]] Holy Grail circulating scale
* [[bifrost]] Six meantone fifths, four pure fifths
* [[cauldron]] Circulating scale with two pure 9/7 thirds
[[http://micro.soonlabel.com/temperaments/cauldron/20140604_12note_cauldron_gene.mp3|For the Unknown Children of Tuam, Galway]] by [[http://chrisvaisvil.com/for-the-unknown-children-of-tuam-galway-cauldron-circulating-temperament/|Chris Vaisvil]]
* [[secor_wt10]] Secor's 12-tone well-temperament, proportional beating
* [[ozancirc]] Ozan Yarman's 159-equal circulating scale
* [[johnson-secor_rwt]] Aaron Krister Johnson and George Secor's equal-beating rational well temperament
* [[johnson-temp]] Aaron Krister Johnson, circulating temperament based on 5/4, 24/19, 19/15 backbone</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Gallery of 12-tone Tempered Scales&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Map your chosen scale to a standard Halberstadt keyboard and you are on your way!&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-MOS scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;a class="wiki_link" href="/MOSScales"&gt;MOS scales&lt;/a&gt;&lt;/h2&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/meaneb471a"&gt;Meantone(12)&lt;/a&gt; because tradition must be respected&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/ratwolf"&gt;ratwolf&lt;/a&gt; Eleven fifths of (418/5)^(1/11) and one 20/13 wolf&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/mavila-eb"&gt;mavila-eb&lt;/a&gt; Mavila[12] in f^4-10f+10 equal beating tuning and meantone order&lt;/li&gt;&lt;/ul&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/transformers/hopper.mp3" rel="nofollow"&gt;Hopper&lt;/a&gt;&lt;/em&gt; by Singer-Medora-White-Smith; At The Hop in f^4-10f+10 mavila&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/pajara12"&gt;pajara12&lt;/a&gt; Pajara[12] in POTE tuning&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12-22a"&gt;12-22a&lt;/a&gt; Superpyth[12] in 22edo: Paul Erlich, TL 4-4-2000&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12-27"&gt;12-27&lt;/a&gt; Augene[12] in 27edo: Herman Miller's Galticeran scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/diminished12"&gt;diminished12&lt;/a&gt; Diminished[12] in &lt;a class="wiki_link" href="/44edo"&gt;44edo&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/flattone12"&gt;flattone12&lt;/a&gt; Flattone[12] in 13-limit POTE tuning&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/blackbirds12"&gt;blackbirds12&lt;/a&gt; Blackbirds[12] in 82\180 tuning&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Marvel tempered scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;a class="wiki_link" href="/Marvel%20family"&gt;Marvel&lt;/a&gt; tempered scales&lt;/h2&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/marveldene"&gt;marveldene&lt;/a&gt; the all-weather marvel-tempered &lt;a class="wiki_link" href="/duodene"&gt;duodene&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/prismarv"&gt;prismarv&lt;/a&gt; marvel tempering of &lt;a class="wiki_link" href="/prism"&gt;prism&lt;/a&gt; (and diadie1)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/centmarv"&gt;centmarv&lt;/a&gt; marvel tempered &lt;a class="wiki_link" href="/centaur"&gt;centaur&lt;/a&gt; (and meandin)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/hahn12marv"&gt;hahn12marv&lt;/a&gt; marvel tempered &lt;a class="wiki_link" href="/hahn12"&gt;hahn12&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/hexymarv"&gt;hexymarv&lt;/a&gt; marvel tempered &lt;a class="wiki_link" href="/hexy"&gt;hexy&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/pump12_1"&gt;pump12_1&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3" rel="nofollow"&gt;Pump1 by Chris Vaisvil&lt;/a&gt;&lt;/em&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/pump12_2"&gt;pump12_2&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/linemarv12"&gt;linemarv12&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/prisun"&gt;prisun&lt;/a&gt; unimarv tempered &lt;a class="wiki_link" href="/pris"&gt;pris&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/highschool1uni"&gt;highschool1uni&lt;/a&gt; unimarv tempered first highschool scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/highschool2uni"&gt;highschool2uni&lt;/a&gt; unimarv tempered second highschool scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/dekany-cs-marv"&gt;dekany-cs-marv&lt;/a&gt; unimarv tempered dekany-cs&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/smithgw_tetra"&gt;smithgw_tetra&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-Other temperament tempered scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;Other temperament&lt;/a&gt; tempered scales&lt;/h2&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12-Adams"&gt;12-Adams&lt;/a&gt; 12 out of 72-TET scale by Prent Rodgers&lt;/li&gt;&lt;/ul&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/drum21-t19.mp3" rel="nofollow"&gt;Pomp &amp;amp; Parade #19&lt;/a&gt;&lt;/em&gt;, by &lt;a class="wiki_link_ext" href="http://ripnread.com/?p=731" rel="nofollow"&gt;Prent Rodgers&lt;/a&gt;&lt;br /&gt;
&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Rodgers/drum22-t15.mp3" rel="nofollow"&gt;Shews #15&lt;/a&gt;&lt;/em&gt;, by &lt;a class="wiki_link_ext" href="http://ripnread.com/?p=753" rel="nofollow"&gt;Prent Rodgers&lt;/a&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12highschool1-rodan"&gt;12highschool1-rodan&lt;/a&gt; 12highschool1 tempered in 13-limit POTE-tuned rodan&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12highschool2-miracle"&gt;12highschool2-miracle&lt;/a&gt; 12highschool2 tempered in 11-limit POTE-tuned miracle&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/breedball3-miracle"&gt;breedball3-miracle&lt;/a&gt; breedball3 tempered in POTE-tuned 11-limit miracle&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/hexy-miraculous"&gt;hexy-miraculous&lt;/a&gt; hexy in 13-limit POTE-tuned miraculous&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/biggulp-bunya"&gt;biggulp-bunya&lt;/a&gt; biggulp tempered in POTE-tuned 13-limit bunya&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/hexanys-valentino"&gt;hexanys-valentino&lt;/a&gt; hexanys tempered in 13-limit POTE-tuned valentino&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/blueji-cataclysmic"&gt;blueji-cataclysmic&lt;/a&gt; blueji tempered in 13-limit POTE-tuned cataclysmic&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/yekta-cataclysmic"&gt;yekta-cataclysmic&lt;/a&gt; yekta tempered in 13-limit POTE-tuned cataclysmic&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/stelhex-catakleismic"&gt;stelhex-catakleismic&lt;/a&gt; stelhex tempered in 13-limit POTE-tuned catakleismic&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/glumma-hendec"&gt;glumma-hendec&lt;/a&gt; glumma tempered in 13-limit POTE-tuned hendec&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/simp12hitch"&gt;simp12hitch&lt;/a&gt; &lt;a class="wiki_link" href="/simp12"&gt;simp12&lt;/a&gt; tempered in hitchcock, 99edo tuning&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/malco"&gt;malco&lt;/a&gt; malcolm tempered in malcolm temperament, 94et tuning&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/bihexanymyna"&gt;bihexanymyna&lt;/a&gt; myna tempered &lt;a class="wiki_link" href="/bihexany"&gt;bihexany&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/duohexmean"&gt;duohexmean&lt;/a&gt; meantone tempered &lt;a class="wiki_link" href="/duohex"&gt;duohex&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/novadene"&gt;novadene&lt;/a&gt; starling tempered &lt;a class="wiki_link" href="/duodene_skew"&gt;duodene_skew&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/parapyth12"&gt;parapyth12&lt;/a&gt; A triple Fokker block of the 2.3.7.11.13 temperament called &amp;quot;parapyth&amp;quot;&lt;/li&gt;&lt;/ul&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/various/20121027_organ.mp3" rel="nofollow"&gt;Organ&lt;/a&gt;&lt;/em&gt;, by Chris Vaisvil&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/mixed-quarters"&gt;mixed-quarters&lt;/a&gt; Chris Vaisvil's 24edo scale&lt;/li&gt;&lt;/ul&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/24et/20130817_mixed_quartertones.mp3" rel="nofollow"&gt;The Bitter Bride&lt;/a&gt;&lt;/em&gt;&lt;br /&gt;
&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/24et/20130817_mixed_quartertones_happy.mp3" rel="nofollow"&gt;Dancing in Plasticine Grass&lt;/a&gt;&lt;/em&gt;&lt;br /&gt;
by &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/two-pieces-in-5-quarterflat/" rel="nofollow"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/plum"&gt;plum&lt;/a&gt; 46 equal tempered 686/675 pump scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/elevenplus"&gt;elevenplus&lt;/a&gt; 11edo plus the 22edo fifth&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/freiseed"&gt;freiseed&lt;/a&gt; Jake Freivald's starling scale&lt;/li&gt;&lt;/ul&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="https://soundcloud.com/jdfreivald/a-seed-planted-starling-pure" rel="nofollow"&gt;A Seed Planted&lt;/a&gt;&lt;/em&gt; &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/a_seed_planted-starling-pure.mp3" rel="nofollow"&gt;play&lt;/a&gt; by Jake Freivald&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-Hobbits"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;a class="wiki_link" href="/Hobbits"&gt;Hobbits&lt;/a&gt;&lt;/h2&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/archytas12"&gt;archytas12&lt;/a&gt;, &lt;a class="wiki_link" href="/archytas12synch"&gt;archytas12synch&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/hobbit_scales/daily201031--hobbit-archytas12.mp3" rel="nofollow"&gt;12 archytas hobbits with ale&lt;/a&gt;&lt;/em&gt; by Chris Vaisvil&lt;br /&gt;
&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Taylor/Archytas12%20sync%20Study%203.mp3" rel="nofollow"&gt;Portrait of a Tragedy (Death of a Son) - Archytas12 sync Study 3&lt;/a&gt;&lt;/em&gt; by Joel Taylor&lt;br /&gt;
&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/ares12"&gt;ares12&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/jubilismic12"&gt;jubilismic12&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/minerva12"&gt;minerva12&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/nakika12"&gt;nakika12&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/thrush12"&gt;thrush12&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/unimarv12"&gt;unimarv12&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/marvel12"&gt;marvel12&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/starling12"&gt;starling12&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-Tempered subgroup scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Tempered &lt;a class="wiki_link" href="/Just%20intonation%20subgroups"&gt;subgroup scales&lt;/a&gt;&lt;/h2&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/omahat"&gt;omahat&lt;/a&gt; 243/242 tempered 2.3.11 subgroup scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/unimajorpenta"&gt;unimajorpenta&lt;/a&gt; 896/891 tempered 2.3.11/7 subgroup scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/cantonpenta"&gt;cantonpenta&lt;/a&gt; 352/351 and 364/363 tempered 2.3.11/7.13/7 subgroup scale&lt;ul&gt;&lt;li&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://www.soundcloud.com/jdfreivald/cantonese-bagatelle" rel="nofollow" target="_blank"&gt;Jake Freivald &amp;quot;Cantonese Bagatelle&amp;quot;&lt;/a&gt;&lt;/em&gt; &lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/Cantonese_Bagatelle__Ohio__That_Is__by_jdfreivald.mp3" rel="nofollow"&gt;play&lt;/a&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-Lesfip scales and other optimizations"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;&lt;a class="wiki_link" href="/Lesfip%20scales"&gt;Lesfip scales&lt;/a&gt; and other optimizations&lt;/h2&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/val-werck"&gt;val-werck&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/millerop"&gt;millerop&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/blue"&gt;blue&lt;/a&gt;&lt;ul&gt;&lt;li&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/blue-tuning/daily20101124-piano-blue-temperament-perseverance.mp3" rel="nofollow"&gt;Chris Vaisvil &amp;quot;Perseverance&amp;quot;&lt;/a&gt;&lt;/em&gt;&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/raven"&gt;raven&lt;/a&gt; John O'Sullivan's raven scale&lt;ul&gt;&lt;li&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/Raven/20120626-raven-explore.mp3" rel="nofollow"&gt;Raven Explore&lt;/a&gt;&lt;/em&gt; by Chris Vaisvil&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/raven2"&gt;raven2&lt;/a&gt; John O'Sullivan's raven2 scale&lt;ul&gt;&lt;li&gt;&lt;em&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/Raven/20130915_psalm_4_NIV_a_capella.mp3" rel="nofollow"&gt;Psalm 4 in Dorian mode of Raven 2 Tuning&lt;/a&gt;&lt;/em&gt; by Chris Vaisvil&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x-Linear recurrence scales, rational intonation, etc"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Linear recurrence scales, rational intonation, etc&lt;/h2&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/tapek-ribbon"&gt;tapek-ribbon&lt;/a&gt; Eq-diff ribbon extension of Superpyth, made of two Tapek sequences&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/soria"&gt;soria&lt;/a&gt; 12 from a 17-notes cycle, equal-beating extended fifths (705.57 c.) sequence&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/mounos"&gt;mounos&lt;/a&gt; Mounos extended fifths -c sequence, quasi-septimal minor diatonic scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/ifbis"&gt;ifbis&lt;/a&gt; Ifbis -c 12 tones sequence (not traditional)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/sireine_f"&gt;sireine_f&lt;/a&gt; Sequence of 11 Sireine low meantone fifths (exactly 691.2348426 c.) from F&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/sumer"&gt;sumer&lt;/a&gt; Neutral diatonic soft Rast scale with Ishku -c variations&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/rast_matrix"&gt;rast_matrix&lt;/a&gt; Neutral third sequence, Rast on white keys and other maqamat&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/baran"&gt;baran&lt;/a&gt; Shaahin Mohajeri's Baran scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/ligon"&gt;ligon&lt;/a&gt; Jacky Ligon's strictly proper all-prime scale&lt;/li&gt;&lt;/ul&gt;&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x-Linear recurrence scales, rational intonation, etc-MODMOS"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;MODMOS&lt;/h3&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/igliashon"&gt;igliashon&lt;/a&gt; Meantone MODMOS created for Igliashon Jones in 74et&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/12-22h"&gt;12-22h&lt;/a&gt; Pajara MODMOS: Hexachordal 12-tone scale in 22-tET&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/keenan"&gt;keenan&lt;/a&gt; Fokker/Keenan meantone MODMOS in 31et&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/meteoroid"&gt;meteoroid&lt;/a&gt; Andrew Heathwaite's meantone MODMOS, 31et tuning&lt;/li&gt;&lt;/ul&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/31edo/andrews12of31-1-harp_flute.mp3" rel="nofollow"&gt;Andrew’s 12 of 31 for Flute and Harp&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=3055" rel="nofollow"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/wilson_gh50"&gt;wilson_gh50&lt;/a&gt; Golden Horagram nr.50: 7phi+2 / 17phi+5&lt;/li&gt;&lt;/ul&gt;&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-Circulating fifths"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Circulating fifths&lt;/h2&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/werck3"&gt;werck3&lt;/a&gt; Andreas Werckmeister's temperament III&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/vallotti"&gt;vallotti&lt;/a&gt; Vallotti &amp;amp; Young scale (Vallotti version)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/kirnberger"&gt;kirnberger&lt;/a&gt; Kirnberger III, letter to Forkel 1779&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/young2"&gt;young2&lt;/a&gt; Thomas Young well temperament no.2 (1799)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/courette2"&gt;courette2&lt;/a&gt; Michel Corrette, modified meantone temperament (1753)&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/couperin"&gt;couperin&lt;/a&gt; Couperin modified meantone&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/qcmte84a"&gt;qcmte84a&lt;/a&gt; Margo Schulter temperament extraordinaire&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/rainbow"&gt;rainbow&lt;/a&gt; rainbow/meanquarw3 modified 1/4-comma meantone&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/grail"&gt;grail&lt;/a&gt; Holy Grail circulating scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/bifrost"&gt;bifrost&lt;/a&gt; Six meantone fifths, four pure fifths&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/cauldron"&gt;cauldron&lt;/a&gt; Circulating scale with two pure 9/7 thirds&lt;/li&gt;&lt;/ul&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/temperaments/cauldron/20140604_12note_cauldron_gene.mp3" rel="nofollow"&gt;For the Unknown Children of Tuam, Galway&lt;/a&gt; by &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/for-the-unknown-children-of-tuam-galway-cauldron-circulating-temperament/" rel="nofollow"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;&lt;a class="wiki_link" href="/secor_wt10"&gt;secor_wt10&lt;/a&gt; Secor's 12-tone well-temperament, proportional beating&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/ozancirc"&gt;ozancirc&lt;/a&gt; Ozan Yarman's 159-equal circulating scale&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/johnson-secor_rwt"&gt;johnson-secor_rwt&lt;/a&gt; Aaron Krister Johnson and George Secor's equal-beating rational well temperament&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/johnson-temp"&gt;johnson-temp&lt;/a&gt; Aaron Krister Johnson, circulating temperament based on 5/4, 24/19, 19/15 backbone&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 02:02, 8 March 2026

Map your chosen scale to a standard Halberstadt keyboard and you are on your way!

Shape-based

MOS scales

  • blackbirds12 – Blackbirds[12] in 82\180 tuning
  • diminished12 – Diminished[12] in 44edo
  • flattone12 – Flattone[12] in 13-limit POTE tuning
  • mavila-eb – Mavila[12] in f^4-10f+10 equal beating tuning and meantone order
    • Hopper by Singer-Medora-White-Smith; At The Hop in f^4-10f+10 mavila
  • Meantone(12) – because tradition must be respected
  • pajara12 – Pajara[12] in POTE tuning
  • ratwolf – Eleven fifths of (418/5)^(1/11) and one 20/13 wolf
  • 12-22a – Superpyth[12] in 22edo: Paul Erlich, TL 4-4-2000
  • 12-27 – Augene[12] in 27edo: Herman Miller's Galticeran scale

MODMOS scales

Hobbits

EDO subsets

(Only added to this subheading if it doesn't belong under another subheading.)

Temperament-based

Marvel tempered scales

Other regular temperament-based scales

Tempered subgroup scales

Circulating temperaments & circles of intervals

  • bifrost – Six meantone fifths, four pure fifths
  • cauldron – Circulating scale with two pure 9/7 thirds
  • corrette2 – Michel Corrette, modified meantone temperament (1753)
  • couperin – Couperin modified meantone
  • grail – Holy Grail circulating scale
  • johnson-secor rwt – Aaron Krister Johnson and George Secor's equal-beating rational well temperament
  • johnson-temp – Aaron Krister Johnson, circulating temperament based on 5/4, 24/19, 19/15 backbone
  • kirnberger – Kirnberger III, letter to Forkel 1779
  • mounos – Mounos extended fifths -c sequence, quasi-septimal minor diatonic scale
  • ozancirc – Ozan Yarman's 159-equal circulating scale
  • qcmte84a – Margo Schulter temperament extraordinaire
  • rainbow – rainbow/meanquarw3 modified 1/4-comma meantone
  • secor_wt10 – Secor's 12-tone well-temperament, proportional beating
  • soria – 12 from a 17-notes cycle, equal-beating extended fifths (705.57 c.) sequence
  • sireine f – Sequence of 11 Sireine low meantone fifths (exactly 691.2348426 c.) from F
  • werck3 – Andreas Werckmeister's temperament III
  • vallotti – Vallotti & Young scale (Vallotti version)
  • val-werck
  • young2 – Thomas Young well temperament no.2 (1799)

Others


View • Talk • EditScale galleries
JI scales 12-tone JI • Combination product set • Constant structure • Harry Partch-related • Maximal harmony epimorphic • MOS transversal • Non-octave JI • Wakalix • Z-polygon transversal • Other JI
Full list: Category:Just intonation scales
Tempered scales 11-tone MOS • 12-tone tempered • Chromatic pair • Clipper • Double mode • Essentially tempered • Fantasy detemper • Marvel woo • Meantone • Min ambiguity • MOS cradle • Negri-9 • Neutral third • Non-octave tempered • Scalesmith systematic • Ternary • Other tempered
Full list: Category:Tempered scales
Scales in EDOs in 10edo • 11 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 33 • 34 • 35 • 36 • 37 • 38 • 40 • 41 • 42 • 43 • 46 • 49 • 53 • 72 • 80
All other scale gallery pages are included in Category:Lists of scales
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