22edo modes: Difference between revisions

BudjarnLambeth (talk | contribs)
m Added section for non-MOS modes, including Kai's old mode from the archived Wikispaces talk page. Also separated audio examples out from the tables so that the tables were not squished awkwardly, as well as making the spacing between paragraphs consistent throughout the article.
BudjarnLambeth (talk | contribs)
Moved the "scales" section from the "22edo" page over to this page. In the process, that made this page messier, but I judged that was a necessary evil in order to clean up the main page. I will return to this page and clean it up once the main 22edo page is under control. In the mean time I have tagged this page "to:do: cleanup".
Line 675: Line 675:


[http://chrisvaisvil.com/comparing-22-edo-superpyth-modes/ Audio comparison of the 12 modes]
[http://chrisvaisvil.com/comparing-22-edo-superpyth-modes/ Audio comparison of the 12 modes]
== [[Pajara]] ==


=== 10 notes ===
* Superpyth[17] - hyperchromatic - 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1
 
==[[Pajara]]==
 
===10 notes===
"Symmetrical" modes are MOS, [[2L_8s|2L+8s (Rice decatonic)]]; "Pentachordal" modes are not MOS.
"Symmetrical" modes are MOS, [[2L_8s|2L+8s (Rice decatonic)]]; "Pentachordal" modes are not MOS.


(The names of the modes are Paul Erlich's - see [http://lumma.org/tuning/erlich/erlich-decatonic.pdf http://lumma.org/tuning/erlich/erlich-decatonic.pdf].)
(The names of the modes are Paul Erlich's - see http://lumma.org/tuning/erlich/erlich-decatonic.pdf.)


{| class="wikitable"
{| class="wikitable"
|-
|-
| 2 2 3 2 2 2 3 2 2 2
| 2 2 3 2 2 2 3 2 2 2
| Standard Pentachordal Major
|Standard Pentachordal Major
| *
|*
|-
|-
| 2 2 3 2 2 2 2 3 2 2
| 2 2 3 2 2 2 2 3 2 2
| Static Symmetrical Major
|Static Symmetrical Major
|  
|  
|-
|-
| 2 3 2 2 2 2 2 3 2 2
| 2 3 2 2 2 2 2 3 2 2
| Alternate Pentachordal Major
|Alternate Pentachordal Major
|  
|
|-
|-
| 2 3 2 2 2 2 3 2 2 2
|2 3 2 2 2 2 3 2 2 2
| Dynamic Symmetrical Major
|Dynamic Symmetrical Major
|  
|
|-
|-
| 2 2 2 3 2 2 2 2 2 3
|2 2 2 3 2 2 2 2 2 3
| Standard Pentachordal Minor
|Standard Pentachordal Minor
|  
|  
|-
|-
| 2 2 2 3 2 2 2 2 3 2
| 2 2 2 3 2 2 2 2 3 2
| Static Symmetrical Minor
|Static Symmetrical Minor
|  
|  
|-
|-
| 2 2 2 2 3 2 2 2 3 2
| 2 2 2 2 3 2 2 2 3 2
| Alternate Pentachordal Minor
|Alternate Pentachordal Minor
|  
|
|-
|-
| 2 2 2 2 3 2 2 2 2 3
|2 2 2 2 3 2 2 2 2 3
| Dynamic Symmetrical Minor
|Dynamic Symmetrical Minor
|  
|
|}
|}
<nowiki>*</nowiki>Audio example:
<nowiki>*</nowiki>Audio example:
Line 722: Line 725:
|}
|}


=== [[Diaschismic_family#Srutal|Srutal]]/Pajara/[[Diaschismic_family#Pajara-Pajarous|Pajarous]][12] ===
===[[Diaschismic_family#Srutal|Srutal]]/Pajara/[[Diaschismic_family#Pajara-Pajarous|Pajarous]][12] ===


=== 12 notes MOS, [[2L_8s|10L+2s]] ===
===12 notes MOS, [[2L_8s|10L+2s]]===


{| class="wikitable"
{| class="wikitable"
Line 735: Line 738:
| 2
| 2
| 2
| 2
| 2
|2
| 1
|1
| 2
|2
| 2
|2
| 2
|2
|-
|-
| 2
| 2
Line 748: Line 751:
| 2
| 2
| 2
| 2
| 2
|2
| 2
|2
| 1
|1
| 2
|2
| 2
|2
|-
|-
| 2
| 2
Line 761: Line 764:
| 2
| 2
| 2
| 2
| 2
|2
| 2
|2
| 2
|2
| 1
|1
| 2
|2
|-
|-
| 2
| 2
Line 774: Line 777:
| 1
| 1
| 2
| 2
| 2
|2
| 2
|2
| 2
|2
| 2
|2
| 1
|1
|-
|-
| 1
| 1
Line 787: Line 790:
| 2
| 2
| 1
| 1
|2
| 2
| 2
| 2
|2
| 2
|2
| 2
|2
| 2
|-
|-
| 2
|2
| 1
|1
| 2
|2
| 2
|2
| 2
|2
| 2
|2
| 2
|2
| 1
|1
| 2
|2
| 2
|2
| 2
|2
| 2
|2
|}
|}
== [[Doublewide#Doublewide|Doublewide]]/[[Jubilismic_clan#Doublewide-Fleetwood|Fleetwood]] ==
==[[Doublewide#Doublewide|Doublewide]]/[[Jubilismic_clan#Doublewide-Fleetwood|Fleetwood]]==


=== 6 notes MOS, [[4L_2s|4L+2s (bicycle)]] ===
===6 notes MOS, [[4L_2s|4L+2s (bicycle)]]===


{| class="wikitable"
{| class="wikitable"
|-
|-
| 5
|5
| 1
|1
| 5
|5
| 5
|5
| 1
| 1
| 5
|5
|-
|-
| 5
| 5
| 5
|5
| 1
|1
| 5
|5
| 5
|5
| 1
| 1
|-
|-
| 1
|1
| 5
| 5
| 5
|5
| 1
| 1
| 5
|5
| 5
|5
|}
|}


=== 10 notes MOS, [[4L_6s|4L+6s (fair bicycle)]] ===
===10 notes MOS, [[4L_6s|4L+6s (fair bicycle)]]===


{| class="wikitable"
{| class="wikitable"
Line 841: Line 844:
| 4
| 4
| 1
| 1
| 4
|4
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 4
|4
| 1
|1
|-
|-
| 1
| 1
| 1
| 1
| 4
| 4
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 4
|4
|-
|-
| 4
| 4
| 1
| 1
| 1
| 1
| 4
|4
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 4
|4
| 1
|1
|-
|-
| 1
| 1
| 4
| 4
| 1
| 1
|1
|4
|1
|4
|1
| 1
| 1
| 4
|4
| 1
| 4
| 1
| 1
| 4
|-
|-
|4
|1
| 4
| 4
|1
| 1
| 1
| 4
|4
| 1
|1
| 1
|4
| 4
|1
| 1
|1
| 4
| 1
| 1
|}
|}


=== 14 notes MOS, [[4L_10s|4L+10s ]] ===
===14 notes MOS, [[4L_10s|4L+10s]]===


{| class="wikitable"
{| class="wikitable"
Line 909: Line 912:
| 1
| 1
| 1
| 1
| 1
|1
| 3
|3
| 1
|1
|-
|-
| 1
| 1
Line 924: Line 927:
| 3
| 3
| 1
| 1
| 1
|1
| 1
|1
| 3
|3
|-
|-
| 3
| 3
Line 939: Line 942:
| 1
| 1
| 3
| 3
| 1
|1
| 1
|1
| 1
|1
|-
|-
| 1
| 1
Line 954: Line 957:
| 1
| 1
| 1
| 1
| 3
|3
| 1
|1
| 1
|1
|-
|-
| 1
| 1
Line 969: Line 972:
| 3
| 3
| 1
| 1
| 1
|1
| 3
|3
| 1
|1
|-
|-
| 1
| 1
Line 984: Line 987:
| 1
| 1
| 3
| 3
|1
| 1
| 1
| 1
|3
| 3
|-
|-
| 3
|3
| 1
|1
| 1
|1
| 1
|1
| 3
|3
| 1
|1
| 1
|1
| 3
|3
| 1
|1
| 1
|1
| 1
|1
| 3
|3
| 1
|1
| 1
|1
|}
|}
== [[Magic_family#Astrology|Astrology]] ==
 
=== 6 notes MOS, [[4L_2s|4L+2s (bicycle)]] ===
* Doublewide[18] - 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 1 1
 
==[[Magic_family#Astrology|Astrology]]==
===6 notes MOS, [[4L_2s|4L+2s (bicycle)]]===


{| class="wikitable"
{| class="wikitable"
Line 1,011: Line 1,017:
| 3
| 3
| 4
| 4
| 4
|4
| 3
|3
| 4
|4
|*
|*
|-
|-
| 4
|4
| 4
|4
| 3
|3
| 4
|4
| 4
|4
| 3
|3
|
|
|-
|-
| 3
|3
| 4
|4
| 4
|4
| 3
|3
| 4
|4
| 4
|4
|
|
|}
|}
Line 1,038: Line 1,044:
|}
|}


=== 10 notes MOS, [[6L_4s|6L+4s (unfair bicycle)]] ===
===10 notes MOS, [[6L_4s|6L+4s (unfair bicycle)]]===


{| class="wikitable"
{| class="wikitable"
Line 1,045: Line 1,051:
| 1
| 1
| 3
| 3
| 1
|1
| 3
|3
| 3
|3
| 1
|1
| 3
|3
| 1
|1
| 3
|3
|-
|-
| 3
| 3
| 3
| 3
| 1
| 1
| 3
|3
| 1
|1
| 3
|3
| 3
|3
| 1
|1
| 3
|3
| 1
|1
|-
|-
| 1
| 1
| 3
| 3
| 3
| 3
| 1
|1
| 3
|3
| 1
|1
| 3
|3
| 3
|3
| 1
|1
| 3
|3
|-
|-
| 3
| 3
| 1
| 1
| 3
| 3
| 3
|3
| 1
| 3
| 1
| 3
| 3
| 1
| 1
|3
|1
|3
|3
|1
|-
|-
| 1
|1
| 3
|3
| 1
|1
| 3
|3
| 3
|3
| 1
|1
| 3
|3
| 1
|1
| 3
|3
| 3
| 3
|}
|}
== [[Magic]]/[[Magic_family#Magic-Telepathy|Telepathy]] ==


=== 7 notes MOS, [[3L_4s|3L+4s (mosh)]] ===
*Astrology[16] - 2 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1
 
==[[Magic]]/[[Magic_family#Magic-Telepathy|Telepathy]]==
 
===7 notes MOS, [[3L_4s|3L+4s (mosh)]]===


{| class="wikitable"
{| class="wikitable"
|-
|-
| 1
|1
| 6
|6
| 1
|1
| 6
|6
| 1
|1
| 6
|6
| 1
|1
|-
|-
| 1
|1
| 1
|1
| 6
|6
| 1
|1
| 6
|6
| 1
|1
| 6
|6
|-
|-
| 6
|6
| 1
|1
| 1
|1
| 6
|6
| 1
|1
| 6
|6
| 1
|1
|-
|-
| 1
|1
| 6
| 1
| 1
| 6
| 1
| 6
| 6
|1
|1
|6
|1
|6
|-
|-
| 6
|6
| 1
|1
| 6
|6
| 1
|1
| 1
|1
| 6
|6
| 1
|1
|-
|-
| 1
|1
| 6
|6
| 1
|1
| 6
|6
| 1
|1
| 1
|1
| 6
|6
|-
|-
| 6
| 6
Line 1,157: Line 1,166:
| 6
| 6
| 1
| 1
| 1
|1
|}
|}


=== 10 notes MOS, [[3L_7s|3L+7s (fair mosh)]] ===
===10 notes MOS, [[3L_7s|3L+7s (fair mosh)]]===


{| class="wikitable"
{| class="wikitable"
|-
|-
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 1
|1
| 5
|5
| 1
|1
|-
|-
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 1
|1
| 5
|5
|-
|-
| 5
|5
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 1
|1
|-
|-
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
|-
|-
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 5
|5
| 1
|1
|-
|-
| 1
|1
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 5
|5
|-
|-
| 5
|5
| 1
|1
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
|-
|-
|1
|5
|1
| 1
| 1
| 5
|1
| 1
|5
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
| 5
| 1
|-
|-
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 5
|5
|-
|-
| 5
|5
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
| 1
|1
| 5
|5
| 1
|1
| 1
|1
|}
|}


=== 13 notes MOS, [[3L_10s|3L+10s]] ===
===13 notes MOS, [[3L_10s|3L+10s]]===


{| class="wikitable"
{| class="wikitable"
|-
|-
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
|-
|-
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
|-
|-
| 1
|1
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
|-
|-
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
|-
|-
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
|-
|-
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
|-
|-
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
|-
|-
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
|-
|-
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
|-
|-
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
|-
|-
|1
|1
|1
|4
|1
|1
|1
|4
|1
|1
|1
| 1
| 1
| 1
|4
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 1
| 4
|-
|-
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 4
|4
| 1
|1
| 1
|1
| 1
|1
| 1
| 1
|-
|-
|1
|4
|1
| 1
| 1
|1
|4
|1
|1
|1
| 4
| 4
| 1
|1
| 1
| 1
| 4
| 1
| 1
| 1
| 4
| 1
| 1
| 1
| 1
| 1
|}
|}


== Non-MOS ==
*Magic[16] - 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1
{| class="wikitable"
*Magic[19] - 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1
|-
 
| Kai Lugheidh's mode
==Non-MOS==
| 2 5 3 3 5 2 2
 
|-
* Kai Lugheidh's mode - 2 5 3 3 5 2 2
| [[Aurora scale|Aurora]] scale
* [[Aurora scale]] - 2 5 6 4 5
| 2 5 6 4 5
* Pentachordal decatonic - Pajara[10] 2|2 (2) #8 - 2 2 3 2 2 2 3 2 2 2
|}
* Hexachordal dodecatonic - Pajara[12] 3|2 (2) b10 or Pajara[12] 2|3 (2) #4 - 2 2 2 1 2 2 2 2 1 2 2 2
* Zarlino/Ptolemy diatonic, "just" major, Ma grama - 4 3 2 4 3 4 2
* inverse of Zarlino/Ptolemy diatonic, natural minor - 4 2 3 4 2 4 3
* tetrachordal major, Sa grama - 4 3 2 4 4 3 2
* inverse of tetrachordal major, "just"/tetrachordal minor - 4 2 3 4 2 3 4
* "just" major pentatonic - 4 3 6 3 6
* "just" minor pentatonic (inverse of "just" major pentatonic) - 6 3 4 6 3
* Porcupine bright major #7 - Porcupine[7] 6|0 #7 - 4 3 3 3 3 4 2
* Porcupine bright major #6 #7 - Porcupine[7] 6|0 #6 #7 - 4 3 3 3 4 3 2
* Porcupine bright minor #2 - Porcupine[7] 4|2 #2 4 2 4 3 3 3 3 (mode of bright major #7)
* Porcupine dark minor #2 - Porcupine[7] 3|3 #2 4 2 3 4 3 3 3 (inverse of bright major #6 #7)
* Porcupine bright harmonic 11th mode - Porcupine[7] 6|0 b7 4 3 3 3 3 2 4
* Superpyth harmonic minor - Superpyth[7] 2|4 #7 - 4 1 4 4 1 7 1
* Superpyth harmonic major - Superpyth[7] 5|1 b6 - 4 4 1 4 1 7 1 (inverse of harmonic minor)
* Superpyth melodic minor - Superpyth[7] 5|1 b3 - 4 1 4 4 4 4 1
* Superpyth double harmonic major - Superpyth[7] 5|1 b2 b6 - 1 7 1 4 1 7 1
* "just" harmonic minor - 4 2 3 4 2 5 2
* "just" harmonic major - 4 3 2 4 2 5 2
* "just" melodic minor - 4 2 3 4 3 4 2
* [[Marvel double harmonic major]] - 2 5 2 4 2 5 2
* Chromatic tetrachord octave species - 2 2 5 4 2 2 5, 5 2 2 4 5 2 2, 2 5 2 4 2 5 2
* Enharmonic trichord octave species - 2 7 4 2 7, 7 2 4 7 2
* Enharmonic tetrachord octave species - 1 1 7 4 1 1 7, 7 1 1 4 7 1 1, 1 7 1 4 1 7 1
* [[Syntonic dipentatonic]] / [[blackdye]] - 1 3 2 3 1 3 2 3 1 3
* [[Marvel hexatonic]] - 5 2 6 2 5 2
* 2 3 2 2 4 2 2 3 2 (Marvel detempering of Negri[9] and August[9])
* [[2.3.7.11 4-SN octatonic]] - 3 2 3 5 3 2 3 1


[[Category:22edo]]
[[Category:22edo]]
Line 1,476: Line 1,511:
[[Category:Listen]]
[[Category:Listen]]
[[Category:Modes]]
[[Category:Modes]]
[[Category:modal_harmony]]
[[Category:modal harmony]]
[[Category:Todo:cleanup]]