Chromatic pairs: Difference between revisions

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By a ''chromatic pair'' is meant a pair of [[MOSScales|MOS]] in some rank two temperament (which may often be a [[Just_intonation_subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing [[Tp_tuning#T2 tuning|RMS error]], which is an appropriate error measure for subgroups as well as full p-limit groups.

Subgroup: 2.9/5.9/7

[http://chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/ 5 5 1 mode of 33 equal (with video)] [http://micro.soonlabel.com/33edo/20130827_551of33.mp3 play] by [[Chris_Vaisvil|Chris Vaisvil]]

Subgroup: 2.11/5.13/5

[[petrtri13|Thirteen note chromatic scale]]

Subgroup: 2.5.11.13

[[barton13|Thirteen note mega chromatic scale]]

Subgroup: 2.7.13

RMS error: 0.1423

Subgroup: 2.7/5.11/5.13/5

[[Tridec13|Thirteen note chromatic scale]]

Subgroup: 2.3.5.19

[[nestoria17|Seventeen note mega chromatic scale]]

Subgroup: 2.7.11

[[orgone15|Fifteen note mega chromatic scale]]

Subgroup: 2.5/3.13/9

[[marveltwintri15|Fifteen note mega chromatic scale]]

Subgroup: 2.3.5.13

[[cata19|Nineteen note mega chromatic scale]]

Subgroup: 2.3.11/5.13/5

[[bridgetown14|Fourteen note chromatic scale]]

<span style=""><span style="">[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 Paint in the Water 29]</span></span> by [[Igliashon_Jones|Igliashon Jones]]

<span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 Route 14 in Bridgetown]</span></span> by [[Chris_Vaisvil|Chris Vaisvil]]

Subgroup: 2.3.7/5.11/5.13/5

[[haumea19|Nineteen note mega chromatic scale]]

Subgroup: 2.3.11

[[neutral17|Seventeen note mega chromatic scale]]

[https://soundcloud.com/jdfreivald/mo-happy-happy Mo - Happy - Happy] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by Jake Freivald in Neutral[7], 24et tuning

Subgroup: 2.3.7

[[slendric16|Sixteen note chromatic scale]]

<span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3 The 11th Slendric Fanfare]</span></span>

by [[Chris_Vaisvil|Chris Vaisvil]]

Subgroup: 2.5.7.13

[[huntington17|Seventeen note chromatic scale]]

Subgroup: 2.3.11.13/5

[[tobago24|Twentyfour note quatertone scale]]

Subgroup: 2.3.11/7.13/7

[[pepperoni12|Twelve note chromatic scale]]

Subgroup: 2.5.11

[[wizz16|Sixteen note chromatic scale]]

Subgroup: 2.7.11.13

[[bossier14|Fourteen note mega chromatic scale]]

Subgroup: 2.9.7.11

[[penta19|Nineteen note mega chromatic scale]]

Subgroup: 2.11.13

[[bluebirds13|Thirteen note chromatic scale]]

Subgroup: 2.5.9/7

[[marveltri13|Thirteen note mega chromatic scale]]

Subgroup: 2.3.7/5.11/5.13/5

[[edson17|Seventeen note mega chromatic scale]]

Subgroup: 2.3.5.17.19

[[photia12|Twelve note chromatic scale]]

Subgroup: 2.5.7.11.13

[[shoe16|shoe16]] - sixteen note [[chromatic_scale|chromatic scale]]

Subgroup: 2.5.7.11.13

[[roulette19|roulette19]] - nineteen note [[mega_chromatic_scale|mega chromatic scale]]

Subgroup: 2.5.7.13.17

[[silver17|silver17]] - seventeen note [[chromatic_scale|chromatic scale]]

Subgroup: 2.9.5.7.13

[[baldy17|baldy17]] - seventeen note [[chromatic_scale|chromatic scale]]

Subgroup: 2.5.7/3.11/3

[[guanyintet13|Thirteen note chromatic scale]]

Subgroup: 2.3.7.11

[[radon16|Sixteen note chromatic scale]]

Subgroup: 2.5/3.7/3.13/11

[[gariberttet13|Thirteen note chromatic scale]]

Subgroup: 2.3.11.13

[[namo17|Seventeen note chromatic scale]]

Group: 2.5/3.9/7

[[sentry11|Eleven note note chromatic scale]]

Subgroup: 2.3.7.11.13

[[hemif17|Seventeen note chromatic scale]]

Group: 2.3.5.7

[[garibaldi17|Seventeen note chromatic scale]]

Subgroup: 2.5.7

[[mabila16|Sixteen note chromatic scale]]

Subgroup: 2.5/3.7/3.11/3

[[indium17|Seventeen note chromatic scale]]

<span style=""><span style="">[http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3 The Cry of Indium]</span></span> (in Indium 17) by [http://www.chrisvaisvil.com/ Chris Vaisvil] =&gt; [http://chrisvaisvil.com/?p=1532 details]

Group: 2.5/3.7/3

[[starlingtet11|Eleven note chromatic scale]]

Group: 2.11.13

[[lovecraft13|Thirteen note chromatic scale]]

Subgroup: 2.11.13

[[blackbirds16|Sixteen note mega chromatic scale]]

Subgroup: 2.5.7/3.11/3.13/3

[[laz13|Thirteen note chromatic scale]]

Group: 2.3.5.7

[[myna15|Fifteen note chromatic scale]]

Subgroup: 2.5/3.7/3.11/3

[[greeley15|Fifteen note chromatic scale]]

<span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 A Greeley Steals Halloween]</span></span> by [http://chrisvaisvil.com/?p=1485 Chris Vaisvil] in Greeley 15

Subgroup: 2.5/3.7/3.11/3.13/3

[[semidim13|Thirteen note chromatic scale]]

Group: 2.7/3.11

[[mothwelltri13|Thirteen note chromatic scale]]

Subgroup: 2.5.9/7.11/9

[[sulis13|Thirteen note chromatic scale]]

Subgroup: 2.3.7.11

[[skwares14|Fourteen note chromatic scale]]

Group: 2.3.5.7.11

[[orwell13|Thirteen note chromatic scale]]

Group: 2.5/3.7.11

[[magicaltet15|Fifteen note mega scale]]

Group: 2.3.5.7.11

[[magic16|Sixteen note mega chromatic scale]]

<span style="">[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3 Chromatic piece in magic 16]</span> [http://www.chrisvaisvil.com/ Chris Vaisvil]

Subgroup: 2.9/5.7/3.11/9

[[kiribati14|Fourteen note chromatic scale]]

Subgroup: 2.7.11.13

[[score11|Eleven note chromatic scale]]

Group: 2.3.5.7.13

[[sensi19|Nineteen note chromatic scale]]

Group: 2.3.5.7

[[sensi19|Nineteen note chromatic scale]]

Group: 2.3.5.7

[[meantone12|Twelve note chromatic scale]]

Subgroup: 2.3.5.11

[[mohaha10|Ten note chromatic scale]]

[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 Mohaha10ping2] by [[Billy_Stiltner|Billy Stiltner]]

Subgroup: 2.9.7.11

[[joan11|Eleven note chromatic scale]]

Subgroup: 2.9.5.7.11

[[File:tutone_99edo.png|alt=tutone_99edo.png|tutone_99edo.png]]

Subgroup: 2.9.15.7.11.13

[[stacks19|Nineteen note note mega chromatic scale]]

Group: 2.3.7.11.13

[http://micro.soonlabel.com/temperaments/Bleu/20131103_2-11-13-subgroup-Bleu17_a-well-worn-riff.mp3 On a Well Worn Riff (Bleu 17)] by [http://chrisvaisvil.com/on-a-well-worn-riff-bleu-17/ Chris Vaisvil]

Subgroup: 2.5.11.13.17

[[sephiroth16|Sixteen note mega chromatic scale]]

Subgroup: 2.3.7

[[archy12|Twelve note chromatic scale]]

Subgroup: 2.3.7.11

[[suhajira17|suhajira17]] - note [[chromatic_scale|chromatic scale]]

Subgroup: 2.3.5.11.13

[[Tp_tuning#T2 tuning|RMS error]]: 1.971 cents

Subgroup: 2.3.7.11

[[supra12|Twelve note chromatic scale]]

Subgroup: 2.9.7.11

[[machine11|Eleven note chromatic scale]]

Subgroup: 2.9.5.7.13

[[deutone13|Thirteen note chromatic scale]]

Subgroup: 2.3.7.11.13

[[Tp_tuning#T2 tuning|RMS error]]: 2.095 cents

Subgroup: 2.3.5.7.13

[[Tp_tuning#T2 tuning|RMS error]]: 2.147 cents

Subgroup: 2.3.5.11

[[porkypine15|Fifteen note chromatic scale]]

Subgroup: 2.5/3.7/3.11.13/9

[[skateboard15|Fifteen note chromatic scale]]

Subgroup: 2.5.7.11

[[augment12|Twelve note chromatic scale]]

Subgroup: 2.3.7

[[semiphore14|Fourteen note chromatic scale]]

Subgroup: 2.5.7/3.11/3.13/3

[[kryptonite19|Nineteen note mega chromatic scale]]

Subgroup: 2.9.15.7.11

[[oregon15|Fifteen note chromatic scale]]

Subgroup: 2.9.5.7

[[antikythera16|Sixteen note chromatic scale]]

Subgroup: 2.9.5.11.13

[[glacial13|Thirteen note chromatic scale]]

Subgroup: 2.9.5.7.11