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__FORCETOC__
Here are tempered scales constructed according to a systematic plan.
Here are tempered scales constructed according to a systematic plan.


-----
== [[Hobbits|Hobbit scales]] ==


=[[Hobbits|Hobbit scales]]=
* [[akea46_13]]
[[akea46_13|akea46_13]]
* [[archytas12]]
* [[ares12]]
* [[belobog31]]
* [[breed11]]
* [[donar46]]
* [[enlil19_13]]
* [[horwell22]]
* [[indra31]]
* [[jove41]]
* [[jubilismic10]]
* [[jubilismic12]]
* [[supermagic15]]
* [[madagascar19]]
* [[marvel9]]
* [[marvel10]]
* [[marvel11]]
* [[marvel12]]
* [[marvel19]]
* [[marvel22]]
* [[marvel22_11]]
* [[minerva12]]
* [[minerva22x]]
* [[nakika12]]
* [[Orwellismic9]]
* [[guanyin22]]
* [[portent26]]
* [[prodigy11]]
* [[prodigy12]]
* [[prodigy29]]
* [[ragismic19]]
* [[rankfour46a]]
* [[rankfour46b]]
* [[spectacle31]]
* [[starling7]]
* [[starling8]]
* [[starling9]]
* [[starling11]]
* [[starling12]]
* [[starling15]]
* [[starling16]]
* [[starling17]]
* [[starling19]]
* [[thrush12]]
* [[thrush15]]
* [[thunor46]]
* [[unimarv12]]
* [[unimarv19]]
* [[urania24]]
* [[yajna31]]
* [[zex46]]
* [http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3 By Jove!]</span> in jove41 by [[Chris Vaisvil]]
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/marvel10_2.mp3 notJoelTaylorsTreeSpirit-Marvel10-2] by [[Billy Stiltner]]


[[archytas12|archytas12]]
== Pump scales ==


[[ares12|ares12]]
[[belobog31|belobog31]]
[[breed11|breed11]]
[[donar46|donar46]]
[[enlil19_13|enlil19_13]]
[[horwell22|horwell22]]
[[indra31|indra31]]
[[jove41|jove41]]
[[jubilismic10|jubilismic10]]
[[jubilismic12|jubilismic12]]
[[supermagic15|supermagic15]]
[[madagascar19|madagascar19]]
[[marvel9|marvel9]]
[[marvel10|marvel10]]
[[marvel11|marvel11]]
[[marvel12|marvel12]]
[[marvel19|marvel19]]
[[marvel22|marvel22]]
[[marvel22_11|marvel22_11]]
[[minerva12|minerva12]]
[[minerva22x|minerva22x]]
[[nakika12|nakika12]]
[[Orwellismic9|orwellismic9]]
[[guanyin22|guanyin22]]
[[portent26|portent26]]
[[prodigy11|prodigy11]]
[[prodigy12|prodigy12]]
[[prodigy29|prodigy29]]
[[ragismic19|ragismic19]]
[[rankfour46a|rankfour46a]]
[[rankfour46b|rankfour46b]]
[[spectacle31|spectacle31]]
[[starling7|starling7]]
[[starling8|starling8]]
[[starling9|starling9]]
[[starling11|starling11]]
[[starling12|starling12]]
[[starling15|starling15]]
[[starling16|starling16]]
[[starling17|starling17]]
[[starling19|starling19]]
[[thrush12|thrush12]]
[[thrush15|thrush15]]
[[thunor46|thunor46]]
[[unimarv12|unimarv12]]
[[unimarv19|unimarv19]]
[[urania24|urania24]]
[[yajna31|yajna31]]
[[zex46|zex46]]
<span style="">[http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3 By Jove!]</span> in jove41 by [[Chris_Vaisvil|Chris Vaisvil]]
[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/marvel10_2.mp3 notJoelTaylorsTreeSpirit-Marvel10-2] by [[Billy_Stiltner|Billy Stiltner]]
=Pump scales=
[[Marvel family|Marvel]] tempered scales with [[tetrad]]ic [[comma pump]]s.
[[Marvel family|Marvel]] tempered scales with [[tetrad]]ic [[comma pump]]s.


Line 124: Line 71:
* [[pump18]]
* [[pump18]]


=[[Lesfip_scales|Lesfip]] (Least squares optimized) scales=
== [[Lesfip scales|Lesfip]] (Least squares optimized) scales ==
 
For some set of target pitch classes, such as a tonality diamond, and some fixed error tolerance, these scales are least squares optimized.
For some set of target pitch classes, such as a tonality diamond, and some fixed error tolerance, these scales are least squares optimized.


[[catakleismic34|catakleismic34]]
* [[catakleismic34]]
 
* [[circls12]]
[[circls12|circls12]]
* [[cycle19]]
 
* [[diam9]]
[[cycle19|cycle19]]
* [[doublediadie]]
 
* [[eikosanyplusop]]
[[diam9|diam9]]
* [[garibaldi24opt]]
 
* [[harry58]]
[[doublediadie|doublediadie]]
* [[hemimute31]]
 
* [[hexlesfip22]]
[[eikosanyplusop|eikosanyplusop]]
* [[leapmute29]]
 
* [[leapmute46]]
[[garibaldi24opt|garibaldi24opt]]
* [[major_wing_lesfip]]
 
* [[mynafip22]]
[[harry58|harry58]]
* [[newts]]
 
* [[nufip15]]
[[hemimute31|hemimute31]]
* [[orwell22]]
 
* [[paulsmagic]]
[[hexlesfip22|hexlesfip22]]
* [[porcupine15opt]]
 
* [[Porcupine15Lesfip]]
[[leapmute29|leapmute29]]
* [[pyclesfip17]]
 
* [[rodan26opt]]
[[leapmute46|leapmute46]]
* [[rodan31opt]]
 
* [[rodan41opt]]
[[major_wing_lesfip|major_wing_lesfip]]
* [[sensax]]
 
* [[stelhexplus]]
[[mynafip22|mynafip22]]
* [[studwacko]]
 
* [[unidec26]]
[[newts|newts]]
* [[valamute31]]
 
* [[valamute46]]
[[nufip15|nufip15]]
* [[valenporc15]]
 
* [[val-werck]]
[[orwell22|orwell22]]
* [[wellfip17]]
 
* [[wizard22]]
[[paulsmagic|paulsmagic]]
* [http://chrisvaisvil.com/?p=2020 A New Leaf] [http://micro.soonlabel.com/circulating_temperaments/daily20120111-nufip-new-leaf.mp3 play] by [[Chris Vaisvil]] (in nufip15)
 
* [http://micro.soonlabel.com/15-ET/daily20120113-porcupine15lesfip-a-childs-symmetry.mp3 A Child's Symmetry] by Chris Vaisvil (in Porcupine15Lesfip)
[[porcupine15opt|porcupine15opt]]
* [http://micro.soonlabel.com/15-ET/daily20120114-iridium-platinum-meter.mp3 Iridium Platinum Meter - for harp, alto flute, upright bass, drum kit] by Chris Vaisvil (in valenporc15)
 
* [http://micro.soonlabel.com/19-ET/daily20120115-cycle19-piano.mp3 Cycle 19 piano solo] by Chris Vaisvil
[[Porcupine15Lesfip|Porcupine15Lesfip]]
* [http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3 A Piece in Paulsmagic] by Chris Vaisvil
 
* [http://micro.soonlabel.com/17-ET/20120212-pyclesfip17.mp3 Sister Lesfip Pycnic] by Chris Vaisvil
[[pyclesfip17|pyclesfip17]]
 
[[rodan26opt|rodan26opt]]
 
[[rodan31opt|rodan31opt]]
 
[[rodan41opt|rodan41opt]]
 
[[sensax|sensax]]
 
[[stelhexplus|stelhexplus]]
 
[[studwacko|studwacko]]
 
[[unidec26|unidec26]]
 
[[valamute31|valamute31]]
 
[[valamute46|valamute46]]
 
[[valenporc15|valenporc15]]
 
[[val-werck|val-werck]]
 
[[wellfip17|wellfip17]]
 
[[wizard22|wizard22]]
 
[http://chrisvaisvil.com/?p=2020 A New Leaf] <span style="">[http://micro.soonlabel.com/circulating_temperaments/daily20120111-nufip-new-leaf.mp3 play]</span> by Chris Vaisvil (in nufip15)
 
<span style="">[http://micro.soonlabel.com/15-ET/daily20120113-porcupine15lesfip-a-childs-symmetry.mp3 A Child's Symmetry]</span>
 
by Chris Vaisvil (in Porcupine15Lesfip)
 
<span style="">[http://micro.soonlabel.com/15-ET/daily20120114-iridium-platinum-meter.mp3 Iridium Platinum Meter - for harp, alto flute, upright bass, drum kit]</span> by Chris Vaisvil (in valenporc15)
 
<span style="">[http://micro.soonlabel.com/19-ET/daily20120115-cycle19-piano.mp3 Cycle 19 piano solo]</span> by Chris Vaisvil
 
<span style="">[http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3 A Piece in Paulsmagic]</span> by Chris Vaisvil
 
<span style="">[http://micro.soonlabel.com/17-ET/20120212-pyclesfip17.mp3 Sister Lesfip Pycnic]</span> by Chris Vaisvil
 
=[[Marvelous_dwarves|Marvelous dwarves]]=
[[dwarf11marv|dwarf11marv]]
 
[[dwarf12marv|dwarf12marv]]
 
[[dwarf13marv|dwarf13marv]]
 
[[dwarf14marv|dwarf14marv]]
 
[[dwarf15marv|dwarf15marv]]
 
[http://micro.soonlabel.com/dwarf_tunings/dwarf15marv2-the_forest.mp3 the forest] by Chris Vaisvil
 
[http://chrisvaisvil.com/?p=2776 the forest]
 
[[dwarf16marv|dwarf16marv]]
 
[[dwarf17marv|dwarf17marv]]
 
[[dwarf18marv|dwarf18marv]]
 
[[dwarf19marv|dwarf19marv]]
 
[[dwarf20marv|dwarf20marv]]
 
[[dwarf21marv|dwarf21marv]]
 
[[dwarf22marv|dwarf22marv]]
 
[[dwarf25marv|dwarf25marv]]
 
=Proper scales=
The scales below are both [[Periodic_scale|strictly proper]] (coherent), and possessed of a considerable amount of harmony. See also [[Strictly_proper_7-note_31edo_scales|strictly proper 7-note 31edo scales]].
 
===7 note scales===
[[prop7a|prop7a]]
 
[[prop7b|prop7b]]
 
[[prop7c|prop7c]]
 
[[prop7d|prop7d]]
 
[[prop7e|prop7e]]
 
[[prop7f|prop7f]]
 
[[prop7g|prop7g]]
 
[[prop7h|prop7h]]
 
===8 note scales===
[[prop8a|prop8a]]
 
[[prop8b|prop8b]]
 
[[prop8c|prop8c]]
 
[[prop8d|prop8d]]
 
[[prop8e|prop8e]]
 
[[prop8f|prop8f]]
 
[[prop8g|prop8g]]
 
[[prop8h|prop8h]]
 
[[prop8i|prop8i]]
 
[[prop8j|prop8j]]
 
[[prop8k|prop8k]]
 
===9 note scales===
[[prop9a|prop9a]]
 
[[prop9b|prop9b]]
 
[[prob9c|prob9c]]
 
[[prop9d|prop9d]]
 
[[prop9e|prop9e]]
 
[[prop9f|prop9f]]
 
[[prop9g|prop9g]]
 
[[prop9h|prop9h]]
 
[[prop9i|prop9i]]
 
[[prob9j|prob9j]]
 
[[prop9k|prop9k]]
 
[[prop9l|prop9l]]
 
[[prop9m|prop9m]]
 
[[prop9n|prop9n]]
 
[[prob9o|prob9o]]
 
[[prop9p|prop9p]]
 
[[prop9q|prop9q]]


[[prop9r|prop9r]]
== [[Marvelous dwarves]] ==


===10 note scales===
* [[dwarf11marv]]
[[prop10a|prop10a]]
* [[dwarf12marv]]
* [[dwarf13marv]]
* [[dwarf14marv]]
* [[dwarf15marv]]
* [http://micro.soonlabel.com/dwarf_tunings/dwarf15marv2-the_forest.mp3 the forest] by [[Chris Vaisvil]]
* [http://chrisvaisvil.com/?p=2776 the forest]
* [[dwarf16marv]]
* [[dwarf17marv]]
* [[dwarf18marv]]
* [[dwarf19marv]]
* [[dwarf20marv]]
* [[dwarf21marv]]
* [[dwarf22marv]]
* [[dwarf25marv]]


[[prop10b|prop10b]]
== Proper scales ==


[[prop10c|prop10c]]
The scales below are both [[Periodic scale|strictly proper]] (coherent), and possessed of a considerable amount of harmony. See also [[strictly proper 7-note 31edo scales]].


[[prop10d|prop10d]]
=== 7 note scales ===


[[prop10e|prop10e]]
* [[prop7a]]
* [[prop7b]]
* [[prop7c]]
* [[prop7d]]
* [[prop7e]]
* [[prop7f]]
* [[prop7g]]
* [[prop7h]]


[[prop10f|prop10f]]
=== 8 note scales ===


[[prop10g|prop10g]]
* [[prop8a]]
* [[prop8b]]
* [[prop8c]]
* [[prop8d]]
* [[prop8e]]
* [[prop8f]]
* [[prop8g]]
* [[prop8h]]
* [[prop8i]]
* [[prop8j]]
* [[prop8k]]


[[prop10h|prop10h]]
=== 9 note scales ===


[[prop10i|prop10i]]
* [[prop9a]]
* [[prop9b]]
* [[prob9c]]
* [[prop9d]]
* [[prop9e]]
* [[prop9f]]
* [[prop9g]]
* [[prop9h]]
* [[prop9i]]
* [[prob9j]]
* [[prop9k]]
* [[prop9l]]
* [[prop9m]]
* [[prop9n]]
* [[prob9o]]
* [[prop9p]]
* [[prop9q]]
* [[prop9r]]


[[prop10j|prop10j]]
=== 10 note scales ===


[[prop10k|prop10k]]
* [[prop10a]]
* [[prop10b]]
* [[prop10c]]
* [[prop10d]]
* [[prop10e]]
* [[prop10f]]
* [[prop10g]]
* [[prop10h]]
* [[prop10i]]
* [[prop10j]]
* [[prop10k]]
* [[prop10l]]


[[prop10l|prop10l]]
=== 11 notes scales ===


===11 notes scales===
* [[propsep]]
[[propsep|propsep]]


[[Category:overview]]
[[Category:Overview]]
[[Category:scales]]
[[Category:Scales]]
[[Category:Listeb]]
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