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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{todo|inline=1|add definition|improve synopsis|comment=Add an intro talking about what a scalesmith actually is.}} |
| 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>2014-06-27 14:51:36 UTC</tt>.<br>
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| : The original revision id was <tt>515123728</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <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">[[toc|flat]]
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| Here are tempered scales constructed according to a systematic plan. | | Here are tempered scales constructed according to a systematic plan. |
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|
| ---- | | == [[Hobbits|Hobbit scales]] == |
| | ''See [[:Category:Hobbits|Category:Hobbits]]'' |
| | * [[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]] |
|
| |
|
| =[[Hobbits|Hobbit scales]]= | | == Pump scales == |
| [[akea46_13]]
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| [[archytas12]]
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| [[ares12]]
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| [[belobog31]]
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| [[breed11]]
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| [[donar46]]
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| [[enlil19_13]]
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| [[horwell22]]
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| [[indra31]]
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| [[jove41]]
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| [[jubilismic10]]
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| [[jubilismic12]]
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| [[supermagic15]]
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| [[madagascar19]]
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| [[marvel9]]
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| [[marvel10]]
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| [[marvel11]]
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| [[marvel12]]
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| [[marvel19]]
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| [[marvel22]]
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| [[marvel22_11]]
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| [[minerva12]]
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| [[minerva22x]]
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| [[nakika12]]
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| [[orwellismic9]]
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| [[guanyin22]]
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| [[portent26]]
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| [[prodigy11]]
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| [[prodigy12]]
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| [[prodigy29]]
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| [[ragismic19]]
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| [[rankfour46a]]
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| [[rankfour46b]]
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| [[spectacle31]]
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| [[starling7]]
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| [[starling8]]
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| [[starling9]]
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| [[starling11]]
| |
| [[starling12]]
| |
| [[starling15]]
| |
| [[starling16]]
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| [[starling17]]
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| [[starling19]]
| |
| [[thrush12]]
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| [[thrush15]]
| |
| [[thunor46]]
| |
| [[unimarv12]]
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| [[unimarv19]]
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| [[urania24]]
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| [[yajna31]]
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| [[zex46]]
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|
| |
|
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3|By Jove!]]</span> in jove41 by [[Chris Vaisvil]]
| | [[Marvel family|Marvel]] tempered scales with [[tetrad]]ic [[comma pump]]s. |
| [[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/marvel10_2.mp3|notJoelTaylorsTreeSpirit-Marvel10-2]] by [[Billy Stiltner]] | |
|
| |
|
| =Pump scales=
| | * [[pump12_1]] |
| [[Marvel family|Marvel]] tempered scales with tetradic comma pumps. | | * [http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3 Pump1 by Chris Vaisvil] |
| | * [[pump12_2]] |
| | * [[pump13]] |
| | * [[pump14]] |
| | * [[pump15]] |
| | * [[pump16]] |
| | * [[pump17]] |
| | * [[pump18]] |
| | ''See also: [[:Category:Comma pump|Category:Comma pump]]'' |
|
| |
|
| [[pump12_1]] | | == [[Lesfip scales|Lesfip]] (Least squares optimized) scales == |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3|Pump1 by Chris Vaisvil]]</span>
| | ''See: [[:Category:Lesfip scales|Category:Lesfip scales]]'' |
| [[pump12_2]]
| |
| [[pump13]]
| |
| [[pump14]]
| |
| [[pump15]]
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| [[pump16]]
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| [[pump17]]
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| [[pump18]]
| |
|
| |
|
| =[[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]] |
| [[circls12]] | | * [[circls12]] |
| [[cycle19]] | | * [[cycle19]] |
| [[diam9]] | | * [[diam9]] |
| [[doublediadie]] | | * [[doublediadie]] |
| [[eikosanyplusop]] | | * [[eikosanyplusop]] |
| [[garibaldi24opt]] | | * [[garibaldi24opt]] |
| [[harry58]] | | * [[harry58]] |
| [[hemimute31]] | | * [[hemimute31]] |
| [[hexlesfip22]] | | * [[hexlesfip22]] |
| [[leapmute29]] | | * [[leapmute29]] |
| [[leapmute46]] | | * [[leapmute46]] |
| [[major_wing_lesfip]] | | * [[major_wing_lesfip]] |
| [[mynafip22]] | | * [[mynafip22]] |
| [[newts]] | | * [[newts]] |
| [[nufip15]] | | * [[nufip15]] |
| [[orwell22]] | | * [[orwell22]] |
| [[paulsmagic]] | | * [[paulsmagic]] |
| [[porcupine15opt]] | | * [[porcupine15opt]] |
| [[Porcupine15Lesfip]] | | * [[Porcupine15Lesfip]] |
| [[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] [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) |
| | * [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 |
| | * [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 |
|
| |
|
| [[http://chrisvaisvil.com/?p=2020|A New Leaf]] <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/circulating_temperaments/daily20120111-nufip-new-leaf.mp3|play]]</span> by Chris Vaisvil (in nufip15) | | == [[Marvelous dwarves]] == |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/15-ET/daily20120113-porcupine15lesfip-a-childs-symmetry.mp3|A Child's Symmetry]]</span>
| | * [[dwarf11marv]] |
| by Chris Vaisvil (in Porcupine15Lesfip)
| | * [[dwarf12marv]] |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[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)
| | * [[dwarf13marv]] |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/19-ET/daily20120115-cycle19-piano.mp3|Cycle 19 piano solo]]</span> by Chris Vaisvil
| | * [[dwarf14marv]] |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3|A Piece in Paulsmagic]]</span> by Chris Vaisvil
| | * [[dwarf15marv]] |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/17-ET/20120212-pyclesfip17.mp3|Sister Lesfip Pycnic]]</span> by Chris Vaisvil
| | * [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]] |
| | ''See also: [[:Category:Dwarves|Category:Dwarves]], [[:Category:Marvel|Category:Marvel]]'' |
|
| |
|
| =[[Marvelous dwarves]]= | | == Proper scales == |
| [[dwarf11marv]] | | The scales below are both [[Periodic scale|strictly proper]] (coherent), and possessed of a considerable amount of harmony. See also [[strictly proper 7-tone 31edo scales]]. |
| [[dwarf12marv]]
| |
| [[dwarf13marv]]
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| [[dwarf14marv]]
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| [[dwarf15marv]]
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| [[http://micro.soonlabel.com/dwarf_tunings/dwarf15marv2-the_forest.mp3|the forest]] by Chris Vaisvil | |
| [[http://chrisvaisvil.com/?p=2776|the forest]]
| |
| [[dwarf16marv]]
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| [[dwarf17marv]]
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| [[dwarf18marv]]
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| [[dwarf19marv]]
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| [[dwarf20marv]]
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| [[dwarf21marv]]
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| [[dwarf22marv]]
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| [[dwarf25marv]]
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|
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|
| =Proper scales= | | === 7 note 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]].
| | * [[prop7a]] |
| | * [[prop7b]] |
| | * [[prop7c]] |
| | * [[prop7d]] |
| | * [[prop7e]] |
| | * [[prop7f]] |
| | * [[prop7g]] |
| | * [[prop7h]] |
|
| |
|
| ===7 note scales=== | | === 8 note scales === |
| [[prop7a]] | | * [[prop8a]] |
| [[prop7b]] | | * [[prop8b]] |
| [[prop7c]] | | * [[prop8c]] |
| [[prop7d]] | | * [[prop8d]] |
| [[prop7e]] | | * [[prop8e]] |
| [[prop7f]] | | * [[prop8f]] |
| [[prop7g]] | | * [[prop8g]] |
| [[prop7h]] | | * [[prop8h]] |
| | * [[prop8i]] |
| | * [[prop8j]] |
| | * [[prop8k]] |
|
| |
|
| ===8 note scales=== | | === 9 note scales === |
| [[prop8a]] | | * [[prop9a]] |
| [[prop8b]] | | * [[prop9b]] |
| [[prop8c]] | | * [[prob9c]] |
| [[prop8d]] | | * [[prop9d]] |
| [[prop8e]] | | * [[prop9e]] |
| [[prop8f]] | | * [[prop9f]] |
| [[prop8g]] | | * [[prop9g]] |
| [[prop8h]] | | * [[prop9h]] |
| [[prop8i]] | | * [[prop9i]] |
| [[prop8j]] | | * [[prob9j]] |
| [[prop8k]] | | * [[prop9k]] |
| | * [[prop9l]] |
| | * [[prop9m]] |
| | * [[prop9n]] |
| | * [[prob9o]] |
| | * [[prop9p]] |
| | * [[prop9q]] |
| | * [[prop9r]] |
|
| |
|
| ===9 note scales=== | | === 10 note scales === |
| [[prop9a]] | | * [[prop10a]] |
| [[prop9b]] | | * [[prop10b]] |
| [[prob9c]] | | * [[prop10c]] |
| [[prop9d]] | | * [[prop10d]] |
| [[prop9e]] | | * [[prop10e]] |
| [[prop9f]] | | * [[prop10f]] |
| [[prop9g]] | | * [[prop10g]] |
| [[prop9h]] | | * [[prop10h]] |
| [[prop9i]] | | * [[prop10i]] |
| [[prob9j]] | | * [[prop10j]] |
| [[prop9k]] | | * [[prop10k]] |
| [[prop9l]] | | * [[prop10l]] |
| [[prop9m]]
| |
| [[prop9n]]
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| [[prob9o]]
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| [[prop9p]]
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| [[prop9q]]
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| [[prop9r]]
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|
| |
|
| ===10 note scales=== | | === 11 notes scales === |
| [[prop10a]] | | * [[propsep]] |
| [[prop10b]] | | ''See also: [[:Category:Proper|Category:Proper]]'' |
| [[prop10c]]
| |
| [[prop10d]]
| |
| [[prop10e]]
| |
| [[prop10f]]
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| [[prop10g]]
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| [[prop10h]]
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| [[prop10i]]
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| [[prop10j]]
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| [[prop10k]]
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| [[prop10l]]
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|
| |
|
| ===11 notes scales===
| | {{Navbox scale gallery}} |
| [[propsep]]
| |
|
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|
| [[media type="custom" key="12079367"]]</pre></div> | | [[Category:Lists of scales]] |
| <h4>Original HTML content:</h4>
| | [[Category:Listen]] |
| <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"><html><head><title>Scalesmith</title></head><body><!-- ws:start:WikiTextTocRule:21:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:21 --><!-- ws:start:WikiTextTocRule:22: --><a href="#Hobbit scales">Hobbit scales</a><!-- ws:end:WikiTextTocRule:22 --><!-- ws:start:WikiTextTocRule:23: --> | <a href="#Pump scales">Pump scales</a><!-- ws:end:WikiTextTocRule:23 --><!-- ws:start:WikiTextTocRule:24: --> | <a href="#Lesfip (Least squares optimized) scales">Lesfip (Least squares optimized) scales</a><!-- ws:end:WikiTextTocRule:24 --><!-- ws:start:WikiTextTocRule:25: --> | <a href="#Marvelous dwarves">Marvelous dwarves</a><!-- ws:end:WikiTextTocRule:25 --><!-- ws:start:WikiTextTocRule:26: --> | <a href="#Proper scales">Proper scales</a><!-- ws:end:WikiTextTocRule:26 --><!-- ws:start:WikiTextTocRule:27: --><!-- ws:end:WikiTextTocRule:27 --><!-- ws:start:WikiTextTocRule:28: --><!-- ws:end:WikiTextTocRule:28 --><!-- ws:start:WikiTextTocRule:29: --><!-- ws:end:WikiTextTocRule:29 --><!-- ws:start:WikiTextTocRule:30: --><!-- ws:end:WikiTextTocRule:30 --><!-- ws:start:WikiTextTocRule:31: --><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: -->
| |
| <!-- ws:end:WikiTextTocRule:32 -->Here are tempered scales constructed according to a systematic plan.<br />
| |
| <br />
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| <hr />
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| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Hobbit scales"></a><!-- ws:end:WikiTextHeadingRule:1 --><a class="wiki_link" href="/Hobbits">Hobbit scales</a></h1>
| |
| <a class="wiki_link" href="/akea46_13">akea46_13</a><br />
| |
| <a class="wiki_link" href="/archytas12">archytas12</a><br />
| |
| <a class="wiki_link" href="/ares12">ares12</a><br />
| |
| <a class="wiki_link" href="/belobog31">belobog31</a><br />
| |
| <a class="wiki_link" href="/breed11">breed11</a><br />
| |
| <a class="wiki_link" href="/donar46">donar46</a><br />
| |
| <a class="wiki_link" href="/enlil19_13">enlil19_13</a><br />
| |
| <a class="wiki_link" href="/horwell22">horwell22</a><br />
| |
| <a class="wiki_link" href="/indra31">indra31</a><br />
| |
| <a class="wiki_link" href="/jove41">jove41</a><br />
| |
| <a class="wiki_link" href="/jubilismic10">jubilismic10</a><br />
| |
| <a class="wiki_link" href="/jubilismic12">jubilismic12</a><br />
| |
| <a class="wiki_link" href="/supermagic15">supermagic15</a><br />
| |
| <a class="wiki_link" href="/madagascar19">madagascar19</a><br />
| |
| <a class="wiki_link" href="/marvel9">marvel9</a><br />
| |
| <a class="wiki_link" href="/marvel10">marvel10</a><br />
| |
| <a class="wiki_link" href="/marvel11">marvel11</a><br />
| |
| <a class="wiki_link" href="/marvel12">marvel12</a><br />
| |
| <a class="wiki_link" href="/marvel19">marvel19</a><br />
| |
| <a class="wiki_link" href="/marvel22">marvel22</a><br />
| |
| <a class="wiki_link" href="/marvel22_11">marvel22_11</a><br />
| |
| <a class="wiki_link" href="/minerva12">minerva12</a><br />
| |
| <a class="wiki_link" href="/minerva22x">minerva22x</a><br />
| |
| <a class="wiki_link" href="/nakika12">nakika12</a><br />
| |
| <a class="wiki_link" href="/orwellismic9">orwellismic9</a><br />
| |
| <a class="wiki_link" href="/guanyin22">guanyin22</a><br />
| |
| <a class="wiki_link" href="/portent26">portent26</a><br />
| |
| <a class="wiki_link" href="/prodigy11">prodigy11</a><br />
| |
| <a class="wiki_link" href="/prodigy12">prodigy12</a><br />
| |
| <a class="wiki_link" href="/prodigy29">prodigy29</a><br />
| |
| <a class="wiki_link" href="/ragismic19">ragismic19</a><br />
| |
| <a class="wiki_link" href="/rankfour46a">rankfour46a</a><br />
| |
| <a class="wiki_link" href="/rankfour46b">rankfour46b</a><br />
| |
| <a class="wiki_link" href="/spectacle31">spectacle31</a><br />
| |
| <a class="wiki_link" href="/starling7">starling7</a><br />
| |
| <a class="wiki_link" href="/starling8">starling8</a><br />
| |
| <a class="wiki_link" href="/starling9">starling9</a><br />
| |
| <a class="wiki_link" href="/starling11">starling11</a><br />
| |
| <a class="wiki_link" href="/starling12">starling12</a><br />
| |
| <a class="wiki_link" href="/starling15">starling15</a><br />
| |
| <a class="wiki_link" href="/starling16">starling16</a><br />
| |
| <a class="wiki_link" href="/starling17">starling17</a><br />
| |
| <a class="wiki_link" href="/starling19">starling19</a><br />
| |
| <a class="wiki_link" href="/thrush12">thrush12</a><br />
| |
| <a class="wiki_link" href="/thrush15">thrush15</a><br />
| |
| <a class="wiki_link" href="/thunor46">thunor46</a><br />
| |
| <a class="wiki_link" href="/unimarv12">unimarv12</a><br />
| |
| <a class="wiki_link" href="/unimarv19">unimarv19</a><br />
| |
| <a class="wiki_link" href="/urania24">urania24</a><br />
| |
| <a class="wiki_link" href="/yajna31">yajna31</a><br />
| |
| <a class="wiki_link" href="/zex46">zex46</a><br />
| |
| <br />
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/hobbit_scales/20120418-jove41.mp3" rel="nofollow">By Jove!</a></span> in jove41 by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br />
| |
| <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/marvel10_2.mp3" rel="nofollow">notJoelTaylorsTreeSpirit-Marvel10-2</a> by <a class="wiki_link" href="/Billy%20Stiltner">Billy Stiltner</a><br />
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| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="Pump scales"></a><!-- ws:end:WikiTextHeadingRule:3 -->Pump scales</h1>
| |
| <a class="wiki_link" href="/Marvel%20family">Marvel</a> tempered scales with tetradic comma pumps.<br />
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| <br />
| |
| <a class="wiki_link" href="/pump12_1">pump12_1</a><br />
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/pump_tunings/pump1/daily20111029-a-pump1-woodwinds-no-verb.mp3" rel="nofollow">Pump1 by Chris Vaisvil</a></span><br />
| |
| <a class="wiki_link" href="/pump12_2">pump12_2</a><br />
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| <a class="wiki_link" href="/pump13">pump13</a><br />
| |
| <a class="wiki_link" href="/pump14">pump14</a><br />
| |
| <a class="wiki_link" href="/pump15">pump15</a><br />
| |
| <a class="wiki_link" href="/pump16">pump16</a><br />
| |
| <a class="wiki_link" href="/pump17">pump17</a><br />
| |
| <a class="wiki_link" href="/pump18">pump18</a><br />
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| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="Lesfip (Least squares optimized) scales"></a><!-- ws:end:WikiTextHeadingRule:5 --><a class="wiki_link" href="/Lesfip%20scales">Lesfip</a> (Least squares optimized) scales</h1>
| |
| For some set of target pitch classes, such as a tonality diamond, and some fixed error tolerance, these scales are least squares optimized.<br />
| |
| <br />
| |
| <a class="wiki_link" href="/catakleismic34">catakleismic34</a><br />
| |
| <a class="wiki_link" href="/circls12">circls12</a><br />
| |
| <a class="wiki_link" href="/cycle19">cycle19</a><br />
| |
| <a class="wiki_link" href="/diam9">diam9</a><br />
| |
| <a class="wiki_link" href="/doublediadie">doublediadie</a><br />
| |
| <a class="wiki_link" href="/eikosanyplusop">eikosanyplusop</a><br />
| |
| <a class="wiki_link" href="/garibaldi24opt">garibaldi24opt</a><br />
| |
| <a class="wiki_link" href="/harry58">harry58</a><br />
| |
| <a class="wiki_link" href="/hemimute31">hemimute31</a><br />
| |
| <a class="wiki_link" href="/hexlesfip22">hexlesfip22</a><br />
| |
| <a class="wiki_link" href="/leapmute29">leapmute29</a><br />
| |
| <a class="wiki_link" href="/leapmute46">leapmute46</a><br />
| |
| <a class="wiki_link" href="/major_wing_lesfip">major_wing_lesfip</a><br />
| |
| <a class="wiki_link" href="/mynafip22">mynafip22</a><br />
| |
| <a class="wiki_link" href="/newts">newts</a><br />
| |
| <a class="wiki_link" href="/nufip15">nufip15</a><br />
| |
| <a class="wiki_link" href="/orwell22">orwell22</a><br />
| |
| <a class="wiki_link" href="/paulsmagic">paulsmagic</a><br />
| |
| <a class="wiki_link" href="/porcupine15opt">porcupine15opt</a><br />
| |
| <a class="wiki_link" href="/Porcupine15Lesfip">Porcupine15Lesfip</a><br />
| |
| <a class="wiki_link" href="/pyclesfip17">pyclesfip17</a><br />
| |
| <a class="wiki_link" href="/rodan26opt">rodan26opt</a><br />
| |
| <a class="wiki_link" href="/rodan31opt">rodan31opt</a><br />
| |
| <a class="wiki_link" href="/rodan41opt">rodan41opt</a><br />
| |
| <a class="wiki_link" href="/sensax">sensax</a><br />
| |
| <a class="wiki_link" href="/stelhexplus">stelhexplus</a><br />
| |
| <a class="wiki_link" href="/studwacko">studwacko</a><br />
| |
| <a class="wiki_link" href="/unidec26">unidec26</a><br />
| |
| <a class="wiki_link" href="/valamute31">valamute31</a><br />
| |
| <a class="wiki_link" href="/valamute46">valamute46</a><br />
| |
| <a class="wiki_link" href="/valenporc15">valenporc15</a><br />
| |
| <a class="wiki_link" href="/val-werck">val-werck</a><br />
| |
| <a class="wiki_link" href="/wellfip17">wellfip17</a><br />
| |
| <a class="wiki_link" href="/wizard22">wizard22</a><br />
| |
| <br />
| |
| <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2020" rel="nofollow">A New Leaf</a> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/circulating_temperaments/daily20120111-nufip-new-leaf.mp3" rel="nofollow">play</a></span> by Chris Vaisvil (in nufip15)<br />
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20120113-porcupine15lesfip-a-childs-symmetry.mp3" rel="nofollow">A Child's Symmetry</a></span><br />
| |
| by Chris Vaisvil (in Porcupine15Lesfip)<br />
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/15-ET/daily20120114-iridium-platinum-meter.mp3" rel="nofollow">Iridium Platinum Meter - for harp, alto flute, upright bass, drum kit</a></span> by Chris Vaisvil (in valenporc15)<br />
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/19-ET/daily20120115-cycle19-piano.mp3" rel="nofollow">Cycle 19 piano solo</a></span> by Chris Vaisvil<br />
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/22-ET/daily20120128-pauls-magic.mp3" rel="nofollow">A Piece in Paulsmagic</a></span> by Chris Vaisvil<br />
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/17-ET/20120212-pyclesfip17.mp3" rel="nofollow">Sister Lesfip Pycnic</a></span> by Chris Vaisvil<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="Marvelous dwarves"></a><!-- ws:end:WikiTextHeadingRule:7 --><a class="wiki_link" href="/Marvelous%20dwarves">Marvelous dwarves</a></h1>
| |
| <a class="wiki_link" href="/dwarf11marv">dwarf11marv</a><br />
| |
| <a class="wiki_link" href="/dwarf12marv">dwarf12marv</a><br />
| |
| <a class="wiki_link" href="/dwarf13marv">dwarf13marv</a><br />
| |
| <a class="wiki_link" href="/dwarf14marv">dwarf14marv</a><br />
| |
| <a class="wiki_link" href="/dwarf15marv">dwarf15marv</a><br />
| |
| <a class="wiki_link_ext" href="http://micro.soonlabel.com/dwarf_tunings/dwarf15marv2-the_forest.mp3" rel="nofollow">the forest</a> by Chris Vaisvil<br />
| |
| <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=2776" rel="nofollow">the forest</a><br />
| |
| <a class="wiki_link" href="/dwarf16marv">dwarf16marv</a><br />
| |
| <a class="wiki_link" href="/dwarf17marv">dwarf17marv</a><br />
| |
| <a class="wiki_link" href="/dwarf18marv">dwarf18marv</a><br />
| |
| <a class="wiki_link" href="/dwarf19marv">dwarf19marv</a><br />
| |
| <a class="wiki_link" href="/dwarf20marv">dwarf20marv</a><br />
| |
| <a class="wiki_link" href="/dwarf21marv">dwarf21marv</a><br />
| |
| <a class="wiki_link" href="/dwarf22marv">dwarf22marv</a><br />
| |
| <a class="wiki_link" href="/dwarf25marv">dwarf25marv</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Proper scales"></a><!-- ws:end:WikiTextHeadingRule:9 -->Proper scales</h1>
| |
| The scales below are both <a class="wiki_link" href="/periodic%20scale">strictly proper</a> (coherent), and possessed of a considerable amount of harmony. See also <a class="wiki_link" href="/strictly%20proper%207-note%2031edo%20scales">strictly proper 7-note 31edo scales</a>.<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:11:&lt;h3&gt; --><h3 id="toc5"><a name="Proper scales--7 note scales"></a><!-- ws:end:WikiTextHeadingRule:11 -->7 note scales</h3>
| |
| <a class="wiki_link" href="/prop7a">prop7a</a><br />
| |
| <a class="wiki_link" href="/prop7b">prop7b</a><br />
| |
| <a class="wiki_link" href="/prop7c">prop7c</a><br />
| |
| <a class="wiki_link" href="/prop7d">prop7d</a><br />
| |
| <a class="wiki_link" href="/prop7e">prop7e</a><br />
| |
| <a class="wiki_link" href="/prop7f">prop7f</a><br />
| |
| <a class="wiki_link" href="/prop7g">prop7g</a><br />
| |
| <a class="wiki_link" href="/prop7h">prop7h</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:13:&lt;h3&gt; --><h3 id="toc6"><a name="Proper scales--8 note scales"></a><!-- ws:end:WikiTextHeadingRule:13 -->8 note scales</h3>
| |
| <a class="wiki_link" href="/prop8a">prop8a</a><br />
| |
| <a class="wiki_link" href="/prop8b">prop8b</a><br />
| |
| <a class="wiki_link" href="/prop8c">prop8c</a><br />
| |
| <a class="wiki_link" href="/prop8d">prop8d</a><br />
| |
| <a class="wiki_link" href="/prop8e">prop8e</a><br />
| |
| <a class="wiki_link" href="/prop8f">prop8f</a><br />
| |
| <a class="wiki_link" href="/prop8g">prop8g</a><br />
| |
| <a class="wiki_link" href="/prop8h">prop8h</a><br />
| |
| <a class="wiki_link" href="/prop8i">prop8i</a><br />
| |
| <a class="wiki_link" href="/prop8j">prop8j</a><br />
| |
| <a class="wiki_link" href="/prop8k">prop8k</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:15:&lt;h3&gt; --><h3 id="toc7"><a name="Proper scales--9 note scales"></a><!-- ws:end:WikiTextHeadingRule:15 -->9 note scales</h3>
| |
| <a class="wiki_link" href="/prop9a">prop9a</a><br />
| |
| <a class="wiki_link" href="/prop9b">prop9b</a><br />
| |
| <a class="wiki_link" href="/prob9c">prob9c</a><br />
| |
| <a class="wiki_link" href="/prop9d">prop9d</a><br />
| |
| <a class="wiki_link" href="/prop9e">prop9e</a><br />
| |
| <a class="wiki_link" href="/prop9f">prop9f</a><br />
| |
| <a class="wiki_link" href="/prop9g">prop9g</a><br />
| |
| <a class="wiki_link" href="/prop9h">prop9h</a><br />
| |
| <a class="wiki_link" href="/prop9i">prop9i</a><br />
| |
| <a class="wiki_link" href="/prob9j">prob9j</a><br />
| |
| <a class="wiki_link" href="/prop9k">prop9k</a><br />
| |
| <a class="wiki_link" href="/prop9l">prop9l</a><br />
| |
| <a class="wiki_link" href="/prop9m">prop9m</a><br />
| |
| <a class="wiki_link" href="/prop9n">prop9n</a><br />
| |
| <a class="wiki_link" href="/prob9o">prob9o</a><br />
| |
| <a class="wiki_link" href="/prop9p">prop9p</a><br />
| |
| <a class="wiki_link" href="/prop9q">prop9q</a><br />
| |
| <a class="wiki_link" href="/prop9r">prop9r</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:17:&lt;h3&gt; --><h3 id="toc8"><a name="Proper scales--10 note scales"></a><!-- ws:end:WikiTextHeadingRule:17 -->10 note scales</h3>
| |
| <a class="wiki_link" href="/prop10a">prop10a</a><br />
| |
| <a class="wiki_link" href="/prop10b">prop10b</a><br />
| |
| <a class="wiki_link" href="/prop10c">prop10c</a><br />
| |
| <a class="wiki_link" href="/prop10d">prop10d</a><br />
| |
| <a class="wiki_link" href="/prop10e">prop10e</a><br />
| |
| <a class="wiki_link" href="/prop10f">prop10f</a><br />
| |
| <a class="wiki_link" href="/prop10g">prop10g</a><br />
| |
| <a class="wiki_link" href="/prop10h">prop10h</a><br />
| |
| <a class="wiki_link" href="/prop10i">prop10i</a><br />
| |
| <a class="wiki_link" href="/prop10j">prop10j</a><br />
| |
| <a class="wiki_link" href="/prop10k">prop10k</a><br />
| |
| <a class="wiki_link" href="/prop10l">prop10l</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:19:&lt;h3&gt; --><h3 id="toc9"><a name="Proper scales--11 notes scales"></a><!-- ws:end:WikiTextHeadingRule:19 -->11 notes scales</h3>
| |
| <a class="wiki_link" href="/propsep">propsep</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/12079367?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;12079367&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://mediaplayer.yahoo.com/js">
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| </script><!-- ws:end:WikiTextMediaRule:0 --></body></html></pre></div>
| |