22edo modes: Difference between revisions
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Wikispaces>hstraub **Imported revision 84166127 - Original comment: ** |
no clue why the old mos names are still here, fixed them |
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(66 intermediate revisions by 15 users not shown) | |||
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Some modes available in [[22edo]]. Please add more, discovered or newly-composed! Note also that 22edo can play all [[11edo Modes|11edo modes]] as well. | |||
==Orwell== | == [[Orwell]] == | ||
=== | === 5 notes MOS, [[4L 1s|4L 1s (Manual)]] === | ||
{| class="wikitable" | |||
|- | |||
| 2 | |||
| 5 | |||
| 5a | |||
| 5 | |||
| 5 | |||
|- | |||
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| 2 | |||
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| 5 | |||
|- | |||
| 5 | |||
| 5 | |||
| 5 | |||
| 5 | |||
| 2 | |||
|} | |||
| | === 9 notes MOS, [[4L 5s|4L 5s (Gramitonic)]] === | ||
== | {| class="wikitable" | ||
|- | |||
| 2 3 2 3 2 3 2 3 2 | |||
| | |||
|- | |||
| 3 2 3 2 3 2 3 2 2 | |||
| * | |||
|- | |||
| 2 3 2 3 2 3 2 2 3 | |||
| | |||
|- | |||
| 3 2 3 2 3 2 2 3 2 | |||
| | |||
|- | |||
| 2 3 2 3 2 2 3 2 3 | |||
| | |||
|- | |||
| 3 2 3 2 2 3 2 3 2 | |||
| | |||
|- | |||
| 2 3 2 2 3 2 3 2 3 | |||
| | |||
|- | |||
| 3 2 2 3 2 3 2 3 2 | |||
| | |||
|- | |||
| 2 2 3 2 3 2 3 2 3 | |||
| | |||
|} | |||
<nowiki />* Audio example: | |||
{| class="wikitable" | |||
|- | |||
| [[file:OrwellNonatonic22edo.mp3]] | |||
|} | |||
|| | === 13 notes MOS, [[9L 4s]] === | ||
|| | {| class="wikitable" | ||
|| | |- | ||
|| | | 1 | ||
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== | | 2 | ||
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|} | |||
== [[Porcupine]] == | |||
See also [[Porcupine Temperament Modal Harmony]] for many more MODMOS modes. | |||
|| | === 7 notes MOS, [[1L 6s|1L 6s (Onyx)]] === | ||
|| | {| class="wikitable" | ||
|| | |- | ||
|| | | 3 3 3 3 3 3 4 | ||
|| | | Magical seventh mode | ||
|| | | | ||
|| | |- | ||
|| | | 3 3 3 3 3 4 3 | ||
|| | | Diminished | ||
| | | | ||
|- | |||
| | | 3 3 3 3 4 3 3 | ||
| | | Diminished | ||
| | | | ||
| | |- | ||
| 3 3 3 4 3 3 3 | |||
| symmetric minor ("dorian") | |||
| <nowiki />* | |||
|- | |||
| 3 3 4 3 3 3 3 | |||
| bright minor | |||
| | |||
|- | |||
| 3 4 3 3 3 3 3 | |||
| dark major | |||
| | |||
|- | |||
| 4 3 3 3 3 3 3 | |||
| bright otonal major | |||
| <nowiki />** | |||
|} | |||
<nowiki />* Audio example: | |||
{| class="wikitable" | |||
|- | |||
| [[File:porcupinesymmetricminor22edo.mp3]] | |||
|} | |||
<nowiki />** Audio example: | |||
{| class="wikitable" | |||
|- | |||
| [[File:porcupineotonalmajor22edo.mp3]] | |||
|} | |||
= | ==== MODMOS of 7 notes MOS ==== | ||
===7 notes=== | * Porcupine bright harmonic 11th mode - Porcupine[7] 6|0 b7: 4 3 3 3 3 2 4 | ||
* Porcupine bright major #6 #7 (Porcupine melodic major) - Porcupine[7] 6|0 #6 #7: 4 3 3 3 4 3 2 | |||
* Porcupine bright major #7 (Porcupine harmonic major) - Porcupine[7] 6|0 #7: 4 3 3 3 3 4 2 | |||
* Porcupine bright minor #2 (Porcupine harmonic minor) - Porcupine[7] 4|2 #2: 4 2 4 3 3 3 3 (mode of bright major #7) | |||
* Porcupine dark minor #2 (Porcupine melodic minor) - Porcupine[7] 3|3 #2: 4 2 3 4 3 3 3 (inverse of bright major #6 #7) | |||
* "JI" major, [[Zarlino]]/Ptolemy diatonic, Ma grama - Porcupine[7] 6|0 b4 #7: 4 3 2 4 3 4 2 | |||
* "JI" minor, inverse of [[Zarlino]]/Ptolemy diatonic - Porcupine[7] 3|3 #2 b6: 4 2 3 4 2 4 3 | |||
| | === 8 notes MOS, [[7L 1s|7L 1s (Pine)]] === | ||
| | {| class="wikitable" | ||
|| 1 | |- | ||
| | | 3 3 3 3 3 3 3 1 | ||
| | | | ||
| | |- | ||
| | | 3 3 3 3 3 3 1 3 | ||
| | |||
|- | |||
| 3 3 3 3 3 1 3 3 | |||
| | |||
|- | |||
| 3 3 3 3 1 3 3 3 | |||
| kind of minor | |||
|- | |||
| 3 3 3 1 3 3 3 3 | |||
| kind of minor | |||
|- | |||
| 3 3 1 3 3 3 3 3 | |||
| both minor and major | |||
|- | |||
| 3 1 3 3 3 3 3 3 | |||
| kind of major | |||
|- | |||
| 1 3 3 3 3 3 3 3 | |||
| kind of major | |||
|} | |||
==== MODMOS of 8 notes MOS ==== | |||
* [[The Pinetone System#Pinetone harmonic diminished octatonic|Pinetone harmonic diminished]], Porcupine[8] 2|5 #5: 3 3 1 5 1 3 3 3 | |||
& | === 15 notes MOS, [[7L 8s]] === | ||
{| class="wikitable" | |||
|- | |||
| 1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 | |||
|- | |||
| 2 1 2 1 2 1 2 1 2 1 2 1 2 1 1 | |||
|- | |||
| 1 2 1 2 1 2 1 2 1 2 1 2 1 1 2 | |||
|- | |||
| 2 1 2 1 2 1 2 1 2 1 2 1 1 2 1 | |||
|- | |||
| 1 2 1 2 1 2 1 2 1 2 1 1 2 1 2 | |||
|- | |||
| 2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 | |||
|- | |||
| 1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 | |||
|- | |||
| 2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 | |||
|- | |||
| 1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 | |||
|- | |||
| 2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 | |||
|- | |||
| 1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 | |||
|- | |||
| 2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 | |||
|- | |||
| 1 2 1 1 2 1 2 1 2 1 2 1 2 1 2 | |||
|- | |||
| 2 1 1 2 1 2 1 2 1 2 1 2 1 2 1 | |||
|- | |||
| 1 1 2 1 2 1 2 1 2 1 2 1 2 1 2 | |||
|} | |||
== [[Porcupine family#Hedgehog|Hedgehog]] == | |||
=== 6 notes MOS, [[2L 4s|2L 4s (Malic)]] === | |||
{| class="wikitable" | |||
|- | |||
| 3 | |||
| 5 | |||
| 3 | |||
| 3 | |||
| 5 | |||
| 3 | |||
|- | |||
| 3 | |||
| 3 | |||
| 5 | |||
| 3 | |||
| 3 | |||
| 5 | |||
|- | |||
| 5 | |||
| 3 | |||
| 3 | |||
| 5 | |||
| 3 | |||
| 3 | |||
|} | |||
=== 8 notes MOS, [[6L 2s|6L 2s (Ekic)]] === | |||
{| class="wikitable" | |||
|- | |||
| 3 3 3 2 3 3 3 2 | |||
|- | |||
| 3 3 2 3 3 3 2 3 | |||
|- | |||
| 3 2 3 3 3 2 3 3 | |||
|- | |||
| 2 3 3 3 2 3 3 3 | |||
|} | |||
& | === 14 notes MOS, 8L 6s === | ||
{| class="wikitable" | |||
|- | |||
| 2 1 2 1 2 1 2 2 1 2 1 2 1 2 | |||
|- | |||
| 1 2 1 2 1 2 2 1 2 1 2 1 2 2 | |||
|- | |||
| 2 1 2 1 2 2 1 2 1 2 1 2 2 1 | |||
|- | |||
| 1 2 1 2 2 1 2 1 2 1 2 2 1 2 | |||
|- | |||
| 2 1 2 2 1 2 1 2 1 2 2 1 2 1 | |||
|- | |||
| 1 2 2 1 2 1 2 1 2 2 1 2 1 2 | |||
|- | |||
| 2 2 1 2 1 2 1 2 2 1 2 1 2 1 | |||
|} | |||
& | == [[Superpyth]] == | ||
=== 5 notes MOS, [[2L 3s|2L 3s (Pentic)]] === | |||
{| class="wikitable" | |||
|- | |||
| 4 | |||
| 5 | |||
| 4 | |||
| 5 | |||
| 4 | |||
|- | |||
| 4 | |||
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| 4 | |||
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|- | |||
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|- | |||
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|- | |||
| 5 | |||
| 4 | |||
| 5 | |||
| 4 | |||
| 4 | |||
|} | |||
=== 7 notes MOS, [[5L 2s|5L 2s (Diatonic)]]=== | |||
{| class="wikitable" | |||
|- | |||
| 4 4 1 4 4 4 1 | |||
| Major (Ionian) | |||
|- | |||
| 4 1 4 4 4 1 4 | |||
| Dorian | |||
|- | |||
| 1 4 4 4 1 4 4 | |||
| Phrygian | |||
|- | |||
| 4 4 4 1 4 4 1 | |||
| Lydian | |||
|- | |||
| 4 4 1 4 4 1 4 | |||
| Mixolydian | |||
|- | |||
| 4 1 4 4 1 4 4 | |||
| Minor (Aeolian) | |||
|- | |||
| 1 4 4 1 4 4 4 | |||
| Locrian | |||
|} | |||
==== MODMOS of 7 notes MOS ==== | |||
* Superpyth melodic minor – Superpyth[7] 5|1 b3 – 4 1 4 4 4 4 1 | |||
* 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 double harmonic major – Superpyth[7] 5|1 b2 b6 – 1 7 1 4 1 7 1 | |||
==== Subsets of 7 notes MOS ==== | |||
* Manohari – 5 4 4 4 1 4 | |||
* Shailaja – 5 8 1 4 4 | |||
* Subminor hexatonic – 4 1 4 4 5 4 | |||
& | === 12 notes MOS, [[5L 7s|5L 7s (P-Chromatic)]]=== | ||
{| class="wikitable" | |||
|- | |||
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|} | |||
[http://micro.soonlabel.com/22-ET/superpyth_comparison/22_SP_scala_files.zip Scala files for all 12 modes] | |||
& | [http://chrisvaisvil.com/comparing-22-edo-superpyth-modes/ Audio comparison of the 12 modes] | ||
=== 17 notes MOS === | |||
{| class="wikitable" | |||
|- | |||
| 1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1 | |||
|} | |||
==== Subsets of 17 notes MOS ==== | |||
* Subminor Blues – 5 4 2 2 5 4 | |||
== [[Pajara]]/[[Srutal]]/[[Pajarous]] == | |||
=== 10 notes === | |||
"Symmetrical" modes are MOS, [[2L 8s|2L 8s (Jaric)]]; "Pentachordal" modes are not MOS. | |||
(The names of the modes are Paul Erlich's - see http://lumma.org/tuning/erlich/erlich-decatonic.pdf.) | |||
{| class="wikitable" | |||
|- | |||
| 2 2 3 2 2 2 3 2 2 2 | |||
| Standard Pentachordal Major | |||
| * | |||
|- | |||
| 2 2 3 2 2 2 2 3 2 2 | |||
| Static Symmetrical Major | |||
| | |||
|- | |||
| 2 3 2 2 2 2 2 3 2 2 | |||
| Alternate Pentachordal Major | |||
| | |||
|- | |||
| 2 3 2 2 2 2 3 2 2 2 | |||
| Dynamic Symmetrical Major | |||
| | |||
|- | |||
| 2 2 2 3 2 2 2 2 2 3 | |||
| Standard Pentachordal Minor | |||
| | |||
|- | |||
| 2 2 2 3 2 2 2 2 3 2 | |||
| Static Symmetrical Minor | |||
| | |||
|- | |||
| 2 2 2 2 3 2 2 2 3 2 | |||
| Alternate Pentachordal Minor | |||
| | |||
|- | |||
| 2 2 2 2 3 2 2 2 2 3 | |||
| Dynamic Symmetrical Minor | |||
| | |||
|} | |||
<nowiki />* Audio example: | |||
{| class="wikitable" | |||
|- | |||
| [[File:pajarastandardpentachordmajor22edo.mp3]] | |||
|} | |||
==== MODMOS of 10 notes MOS ==== | |||
* Pentachordal decatonic - Pajara[10] 2|2 (2) #8 - 2 2 3 2 2 2 3 2 2 2 | |||
=== 12 notes MOS, [[10L 2s|10L 2s (Telluric)]] === | |||
{| class="wikitable" | |||
|- | |||
| 2 | |||
| 2 | |||
| 1 | |||
| 2 | |||
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| 1 | |||
| 2 | |||
| 2 | |||
| 2 | |||
| 2 | |||
|} | |||
==== MODMOS of 12 notes MOS ==== | |||
* 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 | |||
== [[Doublewide#Doublewide|Doublewide]]/[[Jubilismic_clan#Doublewide-Fleetwood|Fleetwood]] == | |||
=== 6 notes MOS, [[4L 2s|4L 2s (Citric)]] === | |||
{| class="wikitable" | |||
|- | |||
| 5 | |||
| 1 | |||
| 5 | |||
| 5 | |||
| 1 | |||
| 5 | |||
|- | |||
| 5 | |||
| 5 | |||
| 1 | |||
| 5 | |||
| 5 | |||
| 1 | |||
|- | |||
| 1 | |||
| 5 | |||
| 5 | |||
| 1 | |||
| 5 | |||
| 5 | |||
|} | |||
===10 notes MOS, [[4L 6s|4L 6s (Lime)]]=== | |||
{| class="wikitable" | |||
|- | |||
| 1 | |||
| 4 | |||
| 1 | |||
| 4 | |||
| 1 | |||
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| 1 | |||
| 1 | |||
| 4 | |||
| 1 | |||
| 4 | |||
| 1 | |||
| 1 | |||
|} | |||
=== 14 notes MOS, [[4L 10s|4L 10s]] === | |||
{| class="wikitable" | |||
|- | |||
| 1 | |||
| 3 | |||
| 1 | |||
| 1 | |||
| 1 | |||
| 3 | |||
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|} | |||
=== 18 notes MOS === | |||
{| class="wikitable" | |||
|- | |||
| 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 (Citric)]] === | |||
{| class="wikitable" | |||
|- | |||
| 4 | |||
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|} | |||
<nowiki />* Audio example: | |||
{| class="wikitable" | |||
|- | |||
| [[File:Astrology6 22edo.mp3]] | |||
|} | |||
=== 10 notes MOS, [[6L 4s|6L 4s (Lemon)]] === | |||
{| class="wikitable" | |||
|- | |||
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|} | |||
=== 16 notes MOS === | |||
{| class="wikitable" | |||
|- | |||
| 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" | |||
|- | |||
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|} | |||
=== 10 notes MOS, [[3L 7s|3L 7s (Sephiroid)]] === | |||
{| class="wikitable" | |||
|- | |||
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|} | |||
===13 notes MOS, [[3L 10s|3L 10s]]=== | |||
{| class="wikitable" | |||
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|} | |||
=== 16 notes MOS === | |||
{| class="wikitable" | |||
|- | |||
| 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 | |||
|} | |||
=== 19 notes MOS === | |||
{| class="wikitable" | |||
|- | |||
| 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 | |||
|} | |||
== Marvel == | |||
* [[Marvel double harmonic major]] (subset of Pajara[12] and pentachordal decatonic): 2 5 2 4 2 5 2 | |||
* Marvel augmented nonatonic: 2 3 2 2 4 2 2 3 2 | |||
* Marvel double harmonic nonatonic (subset of pentachordal decatonic): 2 3 2 2 4 2 3 2 2, 2 2 3 2 4 2 2 3 2 | |||
*[[Marvel hexatonic]]: 5 2 6 2 5 2 | |||
* Marvel double harmonic hexatonic (subset of [[Marvel double harmonic major]]): 2 5 2 6 5 2, 2 5 6 2 5 2 | |||
== Variations of major and minor == | |||
* "just" harmonic major: 4 3 2 4 2 5 2 | |||
* "just" harmonic minor: 4 2 3 4 2 5 2 | |||
* "just"/[[The Pinetone System#Pinetone pentatonic|Pinetone major pentatonic]]: 4 3 6 3 6 | |||
* "just" melodic minor: 4 2 3 4 3 4 2 | |||
* "just"/[[The Pinetone System#Pinetone pentatonic|Pinetone minor pentatonic]] (inverse of "just" major pentatonic): 6 3 4 6 3 | |||
* tetrachordal major, Sa grama: 4 3 2 4 4 3 2 | |||
* inverse of tetrachordal major, tetrachordal minor: 4 2 3 4 2 3 4 | |||
* [[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 | |||
== Others == | |||
* [[2.3.7.11 4-SN octatonic]]: 3 2 3 5 3 2 3 1 | |||
* [[Blackdye]] / [[Syntonic dipentatonic]]: 1 3 2 3 1 3 2 3 1 3 | |||
* 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 tetrachord octave species: 1 1 7 4 1 1 7, 7 1 1 4 7 1 1, 1 7 1 4 1 7 1 | |||
* enharmonic trichord octave species: 2 7 4 2 7, 7 2 4 7 2 | |||
* [[Freiporc]] | |||
* Kai Lugheidh's mode: 2 5 3 3 5 2 2 | |||
* [[Magnetosphere scale]]: 2 5 6 4 5 - ''approximated from [[Hexany 1728]]'' | |||
* Mushroom: 5 4 4 1 8 – ''approximated from [[30afdo]]'' | |||
* Starship: 2 5 2 4 5 4 – ''approximated from [[68afdo]]'' | |||
* Volcanic: 2 5 6 5 4 – ''approximated from [[16afdo]]'' | |||
{{Navbox scale gallery}} | |||
[[Category:22edo]] | |||
[[Category:Lists of scales]] | |||
[[Category:Listen]] | |||
[[Category:Modes]] | |||
[[Category:Modal harmony]] |
Latest revision as of 05:11, 14 May 2025
Some modes available in 22edo. Please add more, discovered or newly-composed! Note also that 22edo can play all 11edo modes as well.
Orwell
5 notes MOS, 4L 1s (Manual)
2 | 5 | 5a | 5 | 5 |
5 | 2 | 5 | 5 | 5 |
5 | 5 | 2 | 5 | 5 |
5 | 5 | 5 | 2 | 5 |
5 | 5 | 5 | 5 | 2 |
9 notes MOS, 4L 5s (Gramitonic)
2 3 2 3 2 3 2 3 2 | |
3 2 3 2 3 2 3 2 2 | * |
2 3 2 3 2 3 2 2 3 | |
3 2 3 2 3 2 2 3 2 | |
2 3 2 3 2 2 3 2 3 | |
3 2 3 2 2 3 2 3 2 | |
2 3 2 2 3 2 3 2 3 | |
3 2 2 3 2 3 2 3 2 | |
2 2 3 2 3 2 3 2 3 |
* Audio example:
13 notes MOS, 9L 4s
1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 2 |
2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 2 | 1 |
2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 2 | 1 | 2 |
1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 2 | 1 | 2 | 2 |
2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 2 | 1 | 2 | 2 | 1 |
2 | 1 | 2 | 2 | 1 | 2 | 2 | 2 | 1 | 2 | 2 | 1 | 2 |
1 | 2 | 2 | 1 | 2 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 |
2 | 2 | 1 | 2 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 |
2 | 1 | 2 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 |
1 | 2 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 |
2 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 |
2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 |
2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 | 1 | 2 | 2 |
Porcupine
See also Porcupine Temperament Modal Harmony for many more MODMOS modes.
7 notes MOS, 1L 6s (Onyx)
3 3 3 3 3 3 4 | Magical seventh mode | |
3 3 3 3 3 4 3 | Diminished | |
3 3 3 3 4 3 3 | Diminished | |
3 3 3 4 3 3 3 | symmetric minor ("dorian") | * |
3 3 4 3 3 3 3 | bright minor | |
3 4 3 3 3 3 3 | dark major | |
4 3 3 3 3 3 3 | bright otonal major | ** |
* Audio example:
** Audio example:
MODMOS of 7 notes MOS
- Porcupine bright harmonic 11th mode - Porcupine[7] 6|0 b7: 4 3 3 3 3 2 4
- Porcupine bright major #6 #7 (Porcupine melodic major) - Porcupine[7] 6|0 #6 #7: 4 3 3 3 4 3 2
- Porcupine bright major #7 (Porcupine harmonic major) - Porcupine[7] 6|0 #7: 4 3 3 3 3 4 2
- Porcupine bright minor #2 (Porcupine harmonic minor) - Porcupine[7] 4|2 #2: 4 2 4 3 3 3 3 (mode of bright major #7)
- Porcupine dark minor #2 (Porcupine melodic minor) - Porcupine[7] 3|3 #2: 4 2 3 4 3 3 3 (inverse of bright major #6 #7)
- "JI" major, Zarlino/Ptolemy diatonic, Ma grama - Porcupine[7] 6|0 b4 #7: 4 3 2 4 3 4 2
- "JI" minor, inverse of Zarlino/Ptolemy diatonic - Porcupine[7] 3|3 #2 b6: 4 2 3 4 2 4 3
8 notes MOS, 7L 1s (Pine)
3 3 3 3 3 3 3 1 | |
3 3 3 3 3 3 1 3 | |
3 3 3 3 3 1 3 3 | |
3 3 3 3 1 3 3 3 | kind of minor |
3 3 3 1 3 3 3 3 | kind of minor |
3 3 1 3 3 3 3 3 | both minor and major |
3 1 3 3 3 3 3 3 | kind of major |
1 3 3 3 3 3 3 3 | kind of major |
MODMOS of 8 notes MOS
- Pinetone harmonic diminished, Porcupine[8] 2|5 #5: 3 3 1 5 1 3 3 3
15 notes MOS, 7L 8s
1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 |
2 1 2 1 2 1 2 1 2 1 2 1 2 1 1 |
1 2 1 2 1 2 1 2 1 2 1 2 1 1 2 |
2 1 2 1 2 1 2 1 2 1 2 1 1 2 1 |
1 2 1 2 1 2 1 2 1 2 1 1 2 1 2 |
2 1 2 1 2 1 2 1 2 1 1 2 1 2 1 |
1 2 1 2 1 2 1 2 1 1 2 1 2 1 2 |
2 1 2 1 2 1 2 1 1 2 1 2 1 2 1 |
1 2 1 2 1 2 1 1 2 1 2 1 2 1 2 |
2 1 2 1 2 1 1 2 1 2 1 2 1 2 1 |
1 2 1 2 1 1 2 1 2 1 2 1 2 1 2 |
2 1 2 1 1 2 1 2 1 2 1 2 1 2 1 |
1 2 1 1 2 1 2 1 2 1 2 1 2 1 2 |
2 1 1 2 1 2 1 2 1 2 1 2 1 2 1 |
1 1 2 1 2 1 2 1 2 1 2 1 2 1 2 |
Hedgehog
6 notes MOS, 2L 4s (Malic)
3 | 5 | 3 | 3 | 5 | 3 |
3 | 3 | 5 | 3 | 3 | 5 |
5 | 3 | 3 | 5 | 3 | 3 |
8 notes MOS, 6L 2s (Ekic)
3 3 3 2 3 3 3 2 |
3 3 2 3 3 3 2 3 |
3 2 3 3 3 2 3 3 |
2 3 3 3 2 3 3 3 |
14 notes MOS, 8L 6s
2 1 2 1 2 1 2 2 1 2 1 2 1 2 |
1 2 1 2 1 2 2 1 2 1 2 1 2 2 |
2 1 2 1 2 2 1 2 1 2 1 2 2 1 |
1 2 1 2 2 1 2 1 2 1 2 2 1 2 |
2 1 2 2 1 2 1 2 1 2 2 1 2 1 |
1 2 2 1 2 1 2 1 2 2 1 2 1 2 |
2 2 1 2 1 2 1 2 2 1 2 1 2 1 |
Superpyth
5 notes MOS, 2L 3s (Pentic)
4 | 5 | 4 | 5 | 4 |
4 | 4 | 5 | 4 | 5 |
5 | 4 | 4 | 5 | 4 |
4 | 5 | 4 | 4 | 5 |
5 | 4 | 5 | 4 | 4 |
7 notes MOS, 5L 2s (Diatonic)
4 4 1 4 4 4 1 | Major (Ionian) |
4 1 4 4 4 1 4 | Dorian |
1 4 4 4 1 4 4 | Phrygian |
4 4 4 1 4 4 1 | Lydian |
4 4 1 4 4 1 4 | Mixolydian |
4 1 4 4 1 4 4 | Minor (Aeolian) |
1 4 4 1 4 4 4 | Locrian |
MODMOS of 7 notes MOS
- Superpyth melodic minor – Superpyth[7] 5|1 b3 – 4 1 4 4 4 4 1
- 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 double harmonic major – Superpyth[7] 5|1 b2 b6 – 1 7 1 4 1 7 1
Subsets of 7 notes MOS
- Manohari – 5 4 4 4 1 4
- Shailaja – 5 8 1 4 4
- Subminor hexatonic – 4 1 4 4 5 4
12 notes MOS, 5L 7s (P-Chromatic)
1 | 3 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 |
1 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 |
3 | 1 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 |
1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 1 | 3 |
3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 3 | 1 | 1 |
1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 3 | 1 |
1 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 3 |
3 | 1 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 |
1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 |
3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 |
1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 1 | 3 |
3 | 1 | 3 | 1 | 3 | 1 | 1 | 3 | 1 | 3 | 1 | 1 |
Audio comparison of the 12 modes
17 notes MOS
1 2 1 1 1 2 1 1 2 1 1 2 1 1 1 2 1 |
Subsets of 17 notes MOS
- Subminor Blues – 5 4 2 2 5 4
Pajara/Srutal/Pajarous
10 notes
"Symmetrical" modes are MOS, 2L 8s (Jaric); "Pentachordal" modes are not MOS.
(The names of the modes are Paul Erlich's - see http://lumma.org/tuning/erlich/erlich-decatonic.pdf.)
2 2 3 2 2 2 3 2 2 2 | Standard Pentachordal Major | * |
2 2 3 2 2 2 2 3 2 2 | Static Symmetrical Major | |
2 3 2 2 2 2 2 3 2 2 | Alternate Pentachordal Major | |
2 3 2 2 2 2 3 2 2 2 | Dynamic Symmetrical Major | |
2 2 2 3 2 2 2 2 2 3 | Standard Pentachordal Minor | |
2 2 2 3 2 2 2 2 3 2 | Static Symmetrical Minor | |
2 2 2 2 3 2 2 2 3 2 | Alternate Pentachordal Minor | |
2 2 2 2 3 2 2 2 2 3 | Dynamic Symmetrical Minor |
* Audio example:
MODMOS of 10 notes MOS
- Pentachordal decatonic - Pajara[10] 2|2 (2) #8 - 2 2 3 2 2 2 3 2 2 2
12 notes MOS, 10L 2s (Telluric)
2 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 2 | 2 | 2 |
2 | 2 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 2 | 2 |
2 | 2 | 2 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 2 |
2 | 2 | 2 | 2 | 2 | 1 | 2 | 2 | 2 | 2 | 2 | 1 |
1 | 2 | 2 | 2 | 2 | 2 | 1 | 2 | 2 | 2 | 2 | 2 |
2 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 2 | 2 | 2 | 2 |
MODMOS of 12 notes MOS
- 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
Doublewide/Fleetwood
6 notes MOS, 4L 2s (Citric)
5 | 1 | 5 | 5 | 1 | 5 |
5 | 5 | 1 | 5 | 5 | 1 |
1 | 5 | 5 | 1 | 5 | 5 |
10 notes MOS, 4L 6s (Lime)
1 | 4 | 1 | 4 | 1 | 1 | 4 | 1 | 4 | 1 |
1 | 1 | 4 | 1 | 4 | 1 | 1 | 4 | 1 | 4 |
4 | 1 | 1 | 4 | 1 | 4 | 1 | 1 | 4 | 1 |
1 | 4 | 1 | 1 | 4 | 1 | 4 | 1 | 1 | 4 |
4 | 1 | 4 | 1 | 1 | 4 | 1 | 4 | 1 | 1 |
14 notes MOS, 4L 10s
1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 |
1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 |
3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 | 3 | 1 | 1 | 1 |
1 | 3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 | 3 | 1 | 1 |
1 | 1 | 3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 | 3 | 1 |
1 | 1 | 1 | 3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 | 3 |
3 | 1 | 1 | 1 | 3 | 1 | 1 | 3 | 1 | 1 | 1 | 3 | 1 | 1 |
18 notes MOS
2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 1 1 1 |
Astrology
6 notes MOS, 4L 2s (Citric)
4 | 3 | 4 | 4 | 3 | 4 | * |
4 | 4 | 3 | 4 | 4 | 3 | |
3 | 4 | 4 | 3 | 4 | 4 |
* Audio example:
10 notes MOS, 6L 4s (Lemon)
3 | 1 | 3 | 1 | 3 | 3 | 1 | 3 | 1 | 3 |
3 | 3 | 1 | 3 | 1 | 3 | 3 | 1 | 3 | 1 |
1 | 3 | 3 | 1 | 3 | 1 | 3 | 3 | 1 | 3 |
3 | 1 | 3 | 3 | 1 | 3 | 1 | 3 | 3 | 1 |
1 | 3 | 1 | 3 | 3 | 1 | 3 | 1 | 3 | 3 |
16 notes MOS
2 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1 |
Magic/Telepathy
7 notes MOS, 3L 4s (Mosh)
1 | 6 | 1 | 6 | 1 | 6 | 1 |
1 | 1 | 6 | 1 | 6 | 1 | 6 |
6 | 1 | 1 | 6 | 1 | 6 | 1 |
1 | 6 | 1 | 1 | 6 | 1 | 6 |
6 | 1 | 6 | 1 | 1 | 6 | 1 |
1 | 6 | 1 | 6 | 1 | 1 | 6 |
6 | 1 | 6 | 1 | 6 | 1 | 1 |
10 notes MOS, 3L 7s (Sephiroid)
1 | 5 | 1 | 1 | 5 | 1 | 1 | 1 | 5 | 1 |
1 | 1 | 5 | 1 | 1 | 5 | 1 | 1 | 1 | 5 |
5 | 1 | 1 | 5 | 1 | 1 | 5 | 1 | 1 | 1 |
1 | 5 | 1 | 1 | 5 | 1 | 1 | 5 | 1 | 1 |
1 | 1 | 5 | 1 | 1 | 5 | 1 | 1 | 5 | 1 |
1 | 1 | 1 | 5 | 1 | 1 | 5 | 1 | 1 | 5 |
5 | 1 | 1 | 1 | 5 | 1 | 1 | 5 | 1 | 1 |
1 | 5 | 1 | 1 | 1 | 5 | 1 | 1 | 5 | 1 |
1 | 1 | 5 | 1 | 1 | 1 | 5 | 1 | 1 | 5 |
5 | 1 | 1 | 5 | 1 | 1 | 1 | 5 | 1 | 1 |
13 notes MOS, 3L 10s
1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 |
1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 |
1 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 |
4 | 1 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 |
1 | 4 | 1 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 |
1 | 1 | 4 | 1 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 |
1 | 1 | 1 | 4 | 1 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 |
4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 1 | 4 | 1 | 1 | 1 |
1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 1 | 4 | 1 | 1 |
1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 1 | 4 | 1 |
1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 1 | 4 |
4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 1 |
1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 | 4 | 1 | 1 | 1 |
16 notes MOS
3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 |
19 notes MOS
1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 |
Marvel
- Marvel double harmonic major (subset of Pajara[12] and pentachordal decatonic): 2 5 2 4 2 5 2
- Marvel augmented nonatonic: 2 3 2 2 4 2 2 3 2
- Marvel double harmonic nonatonic (subset of pentachordal decatonic): 2 3 2 2 4 2 3 2 2, 2 2 3 2 4 2 2 3 2
- Marvel hexatonic: 5 2 6 2 5 2
- Marvel double harmonic hexatonic (subset of Marvel double harmonic major): 2 5 2 6 5 2, 2 5 6 2 5 2
Variations of major and minor
- "just" harmonic major: 4 3 2 4 2 5 2
- "just" harmonic minor: 4 2 3 4 2 5 2
- "just"/Pinetone major pentatonic: 4 3 6 3 6
- "just" melodic minor: 4 2 3 4 3 4 2
- "just"/Pinetone minor pentatonic (inverse of "just" major pentatonic): 6 3 4 6 3
- tetrachordal major, Sa grama: 4 3 2 4 4 3 2
- inverse of tetrachordal major, tetrachordal minor: 4 2 3 4 2 3 4
- 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
Others
- 2.3.7.11 4-SN octatonic: 3 2 3 5 3 2 3 1
- Blackdye / Syntonic dipentatonic: 1 3 2 3 1 3 2 3 1 3
- 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 tetrachord octave species: 1 1 7 4 1 1 7, 7 1 1 4 7 1 1, 1 7 1 4 1 7 1
- enharmonic trichord octave species: 2 7 4 2 7, 7 2 4 7 2
- Freiporc
- Kai Lugheidh's mode: 2 5 3 3 5 2 2
- Magnetosphere scale: 2 5 6 4 5 - approximated from Hexany 1728
- Mushroom: 5 4 4 1 8 – approximated from 30afdo
- Starship: 2 5 2 4 5 4 – approximated from 68afdo
- Volcanic: 2 5 6 5 4 – approximated from 16afdo
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JI scales | 12-tone JI scales • Combination product sets • CS scales • Maximal harmony epimorphic scales • MOS transversals • Non-octave JI scales • Wakalixes • Z-polygon transversals • Other JI scales Full list: Category:Just intonation scales |
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ET subsets | 11edo modes, 19edo modes, 22edo modes, 24edo scales, 31edo modes |
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