24edo scales: Difference between revisions

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Some scales available in [[24edo]]. Please add more, discovered or newly-composed! Note also that 24edo can play all [[8edo]] and [[12edo]] scales as well.
Some scales available in [[24edo]]. Please add more, discovered or newly-composed! Note also that 24edo can play all [[8edo]] and [[12edo]] scales as well.


==Pentatonic==
== Pentatonic ==
{| class="wikitable"
{| class="wikitable"
|-
|-
|<code>'''2 8 3 6 5'''</code>
| <code>'''2 8 3 6 5'''</code>
|Anchihoye: Ethiopia
| Anchihoye: Ethiopia
|-
|-
|<code>'''5 5 4 5 5'''</code>
| <code>'''5 5 4 5 5'''</code>
|Quasi-equal Pentatonic - [[MOSScales|MOS]] of type [[4L_1s|4L 1s (bug)]]
| Quasi-equal Pentatonic - [[MOS]] of type [[4L_1s|4L 1s (bug)]]
|-
|-
|<code>'''5 5 5 5 4'''</code>
| <code>'''5 5 5 5 4'''</code>
|Hába's Pentatonic - [[MOSScales|MOS]] of type [[4L_1s|4L 1s (bug)]]
| Hába's Pentatonic - [[MOS]] of type [[4L_1s|4L 1s (bug)]]
|-
|-
|<code>'''6 3 6 6 3'''</code>
| <code>'''6 3 6 6 3'''</code>
|[[MOS]] of type [[3L 2s]] (father)
| [[MOS]] of type [[3L 2s]] (father)
|-
|-
|<code>'''5 2 2 6 9'''</code>
| <code>'''5 2 2 6 9'''</code>
|
|  
|}
|}
==Hexatonic==
 
== Hexatonic ==
{| class="wikitable"
{| class="wikitable"
|-
|-
|<code>'''1 1 8 4 2 8'''</code>
| <code>'''1 1 8 4 2 8'''</code>
|Spondeiakos
| Spondeiakos
|-
|-
|<code>'''5 5 2 5 5 2'''</code>
| <code>'''5 5 2 5 5 2'''</code>
|[[MOS]] of type [[4L 2s]]
| [[MOS]] of type [[4L 2s]]
|-
|-
|<code>'''3 5 3 5 3 5'''</code>
| <code>'''3 5 3 5 3 5'''</code>
|[[MOS]] of type [[3L 3s]] (triforce)
| [[MOS]] of type [[3L 3s]] (triforce)
|}
|}
==Heptatonic==
 
== Heptatonic ==
{| class="wikitable"
{| class="wikitable"
|-
|-
|<code>'''1 1 8 1 1 8 4'''</code>
| <code>'''1 1 8 1 1 8 4'''</code>
|Enharmonic Mixolydian
| Enharmonic Mixolydian
|-
|-
|<code>'''1 8 1 1 8 4 1'''</code>
| <code>'''1 8 1 1 8 4 1'''</code>
|Enharmonic Lydian
| Enharmonic Lydian
|-
|-
|<code>'''8 1 1 8 4 1 1'''</code>
| <code>'''8 1 1 8 4 1 1'''</code>
|Enharmonic Phrygian
| Enharmonic Phrygian
|-
|-
|<code>'''1 1 8 4 1 1 8'''</code>
| <code>'''1 1 8 4 1 1 8'''</code>
|Enharmonic Dorian
| Enharmonic Dorian
|-
|-
|<code>'''1 8 4 1 1 8 1'''</code>
| <code>'''1 8 4 1 1 8 1'''</code>
|Enharmonic Hypolydian
| Enharmonic Hypolydian
|-
|-
|<code>'''8 4 1 1 8 1 1'''</code>
| <code>'''8 4 1 1 8 1 1'''</code>
|Enharmonic Hypophrygian
| Enharmonic Hypophrygian
|-
|-
|<code>'''4 1 1 8 1 1 8'''</code>
| <code>'''4 1 1 8 1 1 8'''</code>
|Enharmonic Hypodorian
| Enharmonic Hypodorian
|-
|-
|<code>'''2 3 5 2 3 5 4'''</code>
| <code>'''2 3 5 2 3 5 4'''</code>
|Soft Diatonic Mixolydian
| Soft Diatonic Mixolydian
|-
|-
|<code>'''3 5 2 3 5 4 2'''</code>
| <code>'''3 5 2 3 5 4 2'''</code>
|Soft Diatonic Lydian
| Soft Diatonic Lydian
|-
|-
|<code>'''5 2 3 5 4 2 3'''</code>
| <code>'''5 2 3 5 4 2 3'''</code>
|Soft Diatonic Phrygian
| Soft Diatonic Phrygian
|-
|-
|<code>'''2 3 5 4 2 3 5'''</code>
| <code>'''2 3 5 4 2 3 5'''</code>
|Soft Diatonic Dorian
| Soft Diatonic Dorian
|-
|-
|<code>'''3 5 4 2 3 5 2'''</code>
| <code>'''3 5 4 2 3 5 2'''</code>
|Soft Diatonic Hypolydian
| Soft Diatonic Hypolydian
|-
|-
|<code>'''5 4 2 3 5 2 3'''</code>
| <code>'''5 4 2 3 5 2 3'''</code>
|Soft Diatonic Hypophrygian
| Soft Diatonic Hypophrygian
|-
|-
|<code>'''4 2 3 5 2 3 5'''</code>
| <code>'''4 2 3 5 2 3 5'''</code>
|Soft Diatonic Hypodorian
| Soft Diatonic Hypodorian
|-
|-
|<code>'''3 3 4 3 3 4 4'''</code>
| <code>'''3 3 4 3 3 4 4'''</code>
|Maqam Ouchairan-Hussaini, Bayatan, Neutral Diatonic Mixolydian - [[MODMOS_Scales|MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
| Maqam Ouchairan-Hussaini, Bayatan, Neutral Diatonic Mixolydian - [[MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|-
|<code>'''3 4 3 3 4 4 3'''</code>
| <code>'''3 4 3 3 4 4 3'''</code>
|Dastgah-e Sehgah, Neutral Diatonic Lydian - [[MODMOS_Scales|MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
| Dastgah-e Sehgah, Neutral Diatonic Lydian - [[MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|-
|<code>'''4 3 3 4 4 3 3'''</code>
| <code>'''4 3 3 4 4 3 3'''</code>
|Arabic Diatonic, Maqam Rast, Quasi-equal Heptatonic, Neutral Diatonic Phrygian - [[MODMOS_Scales|MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
| Arabic Diatonic, Maqam Rast, Quasi-equal Heptatonic, Neutral Diatonic Phrygian - [[MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|-
|<code>'''3 3 4 4 3 3 4'''</code>
| <code>'''3 3 4 4 3 3 4'''</code>
|Maqam Hussaini, Ushaq, Neutral Diatonic Dorian - [[MODMOS_Scales|MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
| Maqam Hussaini, Ushaq, Neutral Diatonic Dorian - [[MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|-
|<code>'''3 4 4 3 3 4 3'''</code>
| <code>'''3 4 4 3 3 4 3'''</code>
|Maqam Sikah (Segah), Neutral Diatonic Hypolydian - [[MODMOS_Scales|MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
| Maqam Sikah (Segah), Neutral Diatonic Hypolydian - [[MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|-
|<code>'''4 4 3 3 4 3 3'''</code>
| <code>'''4 4 3 3 4 3 3'''</code>
|Neutral Diatonic Hypophrygian - [[MODMOS_Scales|MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
| Neutral Diatonic Hypophrygian - [[MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|-
|<code>'''4 3 3 4 3 3 4'''</code>
| <code>'''4 3 3 4 3 3 4'''</code>
|Miha'il Musaqa's mode: Egypt, Neutral Diatonic Hypodorian, Dastgah-e Sehgah, Maqam Nairuz - [[MODMOS_Scales|MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
| Miha'il Musaqa's mode: Egypt, Neutral Diatonic Hypodorian, Dastgah-e Sehgah, Maqam Nairuz - [[MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|-
|<code>'''1 5 4 1 5 4 4'''</code>
| <code>'''1 5 4 1 5 4 4'''</code>
|Diatonic + Enharmonic Diesis Mixolydian
| Diatonic + Enharmonic Diesis Mixolydian
|-
|-
|<code>'''5 4 1 5 4 4 1'''</code>
| <code>'''5 4 1 5 4 4 1'''</code>
|Diatonic + Enharmonic Diesis Lydian
| Diatonic + Enharmonic Diesis Lydian
|-
|-
|<code>'''4 1 5 4 4 1 5'''</code>
| <code>'''4 1 5 4 4 1 5'''</code>
|Diatonic + Enharmonic Diesis Phrygian
| Diatonic + Enharmonic Diesis Phrygian
|-
|-
|<code>'''1 5 4 4 1 5 4'''</code>
| <code>'''1 5 4 4 1 5 4'''</code>
|Diatonic + Enharmonic Diesis Dorian
| Diatonic + Enharmonic Diesis Dorian
|-
|-
|<code>'''5 4 4 1 5 4 1'''</code>
| <code>'''5 4 4 1 5 4 1'''</code>
|Diatonic + Enharmonic Diesis Hypolydian
| Diatonic + Enharmonic Diesis Hypolydian
|-
|-
|<code>'''4 4 1 5 4 1 5'''</code>
| <code>'''4 4 1 5 4 1 5'''</code>
|Diatonic + Enharmonic Diesis Hypophrygian
| Diatonic + Enharmonic Diesis Hypophrygian
|-
|-
|<code>'''4 1 5 4 1 5 4'''</code>
| <code>'''4 1 5 4 1 5 4'''</code>
|Diatonic + Enharmonic Diesis Hypodorian
| Diatonic + Enharmonic Diesis Hypodorian
|-
|-
|<code>'''1 3 6 1 3 6 4'''</code>
| <code>'''1 3 6 1 3 6 4'''</code>
|Chromatic/Enharmonic Mixolydian
| Chromatic/Enharmonic Mixolydian
|-
|-
|<code>'''3 6 1 3 6 4 1'''</code>
| <code>'''3 6 1 3 6 4 1'''</code>
|Chromatic/Enharmonic Lydian
| Chromatic/Enharmonic Lydian
|-
|-
|<code>'''6 1 3 6 4 1 3'''</code>
| <code>'''6 1 3 6 4 1 3'''</code>
|Chromatic/Enharmonic Phrygian
| Chromatic/Enharmonic Phrygian
|-
|-
|<code>'''1 3 6 4 1 3 6'''</code>
| <code>'''1 3 6 4 1 3 6'''</code>
|Chromatic/Enharmonic Dorian
| Chromatic/Enharmonic Dorian
|-
|-
|<code>'''3 6 4 1 3 6 1'''</code>
| <code>'''3 6 4 1 3 6 1'''</code>
|Chromatic/Enharmonic Hypolydian
| Chromatic/Enharmonic Hypolydian
|-
|-
|<code>'''6 4 1 3 6 1 3'''</code>
| <code>'''6 4 1 3 6 1 3'''</code>
|Chromatic/Enharmonic Hypophrygian
| Chromatic/Enharmonic Hypophrygian
|-
|-
|<code>'''4 1 3 6 1 3 6'''</code>
| <code>'''4 1 3 6 1 3 6'''</code>
|Chromatic/Enharmonic Hypodorian
| Chromatic/Enharmonic Hypodorian
|-
|-
|<code>'''3 4 3 3 4 3 4'''</code>
| <code>'''3 4 3 3 4 3 4'''</code>
|Neutral Mixolydian - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]
| Neutral Mixolydian - [[MOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|-
|<code>'''4 3 3 4 3 4 3'''</code>
| <code>'''4 3 3 4 3 4 3'''</code>
|Neutral Lydian - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]
| Neutral Lydian - [[MOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|-
|<code>'''3 3 4 3 4 3 4'''</code>
| <code>'''3 3 4 3 4 3 4'''</code>
|Neutral Phrygian - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]
| Neutral Phrygian - [[MOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|-
|<code>'''3 4 3 4 3 4 3'''</code>
| <code>'''3 4 3 4 3 4 3'''</code>
|Neutral Dorian, Misaelides 2nd Byzantine mode, Maqam Sikah Baladi - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]
| Neutral Dorian, Misaelides 2nd Byzantine mode, Maqam Sikah Baladi - [[MOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|-
|<code>'''4 3 4 3 4 3 3'''</code>
| <code>'''4 3 4 3 4 3 3'''</code>
|Neutral Hypolydian - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]
| Neutral Hypolydian - [[MOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|-
|<code>'''3 4 3 4 3 3 4'''</code>
| <code>'''3 4 3 4 3 3 4'''</code>
|Neutral Hypophrygian - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]
| Neutral Hypophrygian - [[MOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|-
|<code>'''4 3 4 3 3 4 3'''</code>
| <code>'''4 3 4 3 3 4 3'''</code>
|Neutral Hypodorian - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]
| Neutral Hypodorian - [[MOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|-
|<code>'''3 5 2 4 3 5 2'''</code>
| <code>'''3 5 2 4 3 5 2'''</code>
|Athanasopoulos' Byzantine Liturgical Chromatic, Dastgah-e Chahargah
| Athanasopoulos' Byzantine Liturgical Chromatic, Dastgah-e Chahargah
|-
|-
|<code>'''4 2 4 4 3 3 4'''</code>
| <code>'''4 2 4 4 3 3 4'''</code>
|Dastgah-e Nava, Maqam Ushaq Masri
| Dastgah-e Nava, Maqam Ushaq Masri
|-
|-
|<code>'''2 7 1 4 2 7 1'''</code>
| <code>'''2 7 1 4 2 7 1'''</code>
|Second plagal Byzantine Liturgical mode
| Second plagal Byzantine Liturgical mode
|-
|-
|<code>'''3 3 4 4 2 4 4'''</code>
| <code>'''3 3 4 4 2 4 4'''</code>
|Maqam 'Ushshaq Turki, Urfa, Isfahan, Dastgah-e Shur
| Maqam 'Ushshaq Turki, Urfa, Isfahan, Dastgah-e Shur
|-
|-
|<code>'''3 3 4 4 4 2 4'''</code>
| <code>'''3 3 4 4 4 2 4'''</code>
|Maqam Nahfat
| Maqam Nahfat
|-
|-
|<code>'''3 3 2 6 2 4 4'''</code>
| <code>'''3 3 2 6 2 4 4'''</code>
|Maqam Saba
| Maqam Saba
|-
|-
|<code>'''3 3 2 6 2 6 2'''</code>
| <code>'''3 3 2 6 2 6 2'''</code>
|Maqam Sabr Jadid
| Maqam Sabr Jadid
|-
|-
|<code>'''4 3 3 4 2 6 2'''</code>
| <code>'''4 3 3 4 2 6 2'''</code>
|Maqam Suznak (Soznak)
| Maqam Suznak (Soznak)
|-
|-
|<code>'''4 3 3 4 4 4 2'''</code>
| <code>'''4 3 3 4 4 4 2'''</code>
|Maqam Mahur
| Maqam Mahur
|-
|-
|<code>'''3 3 4 2 6 2 4'''</code>
| <code>'''3 3 4 2 6 2 4'''</code>
|Maqam Qarjighar, Bayati Shuri
| Maqam Qarjighar, Bayati Shuri
|-
|-
|<code>'''3 4 2 6 2 4 3'''</code>
| <code>'''3 4 2 6 2 4 3'''</code>
|Maqam Hizam (Huzam, El Houzam), Rahat al Arouah
| Maqam Hizam (Huzam, El Houzam), Rahat al Arouah
|-
|-
|<code>'''2 4 4 4 3 3 4'''</code>
| <code>'''2 4 4 4 3 3 4'''</code>
|Maqam Nawa
| Maqam Nawa
|-
|-
|<code>'''2 5 3 4 2 5 3'''</code>
| <code>'''2 5 3 4 2 5 3'''</code>
|Maqam Higaz-kar
| Maqam Higaz-kar
|-
|-
|<code>'''3 4 4 2 4 4 3'''</code>
| <code>'''3 4 4 2 4 4 3'''</code>
|Maqam Su'ar, Naghmeh Abuata, Naghmeh Afshari
| Maqam Su'ar, Naghmeh Abuata, Naghmeh Afshari
|-
|-
|<code>'''4 4 2 4 4 3 3'''</code>
| <code>'''4 4 2 4 4 3 3'''</code>
|Maqam Jahargah (Jiharkah), Naghmeh Bayat-e Tork, Naghmeh Dashti
| Maqam Jahargah (Jiharkah), Naghmeh Bayat-e Tork, Naghmeh Dashti
|-
|-
|<code>'''3 5 2 4 2 4 4'''</code>
| <code>'''3 5 2 4 2 4 4'''</code>
|Dastgah-e Homayun
| Dastgah-e Homayun
|-
|-
|<code>'''4 2 4 4 3 5 2'''</code>
| <code>'''4 2 4 4 3 5 2'''</code>
|Naghmeh Esfahan
| Naghmeh Esfahan
|-
|-
|<code>'''3 6 1 5 2 6 1'''</code>
| <code>'''3 6 1 5 2 6 1'''</code>
|Maqam 'Awg 'ara (Aug-ara)
| Maqam 'Awg 'ara (Aug-ara)
|-
|-
|<code>'''4 1 5 4 2 6 2'''</code>
| <code>'''4 1 5 4 2 6 2'''</code>
|Maqam Buselik
| Maqam Buselik
|-
|-
|<code>'''4 2 6 2 2 5 3'''</code>
| <code>'''4 2 6 2 2 5 3'''</code>
|Maqam Neuter
| Maqam Neuter
|-
|-
|<code>'''4 3 3 4 4 2 4'''</code>
| <code>'''4 3 3 4 4 2 4'''</code>
|Dance scale of Yi people: China
| Dance scale of Yi people: China
|-
|-
|<code>'''4 4 2 3 1 4 6'''</code>
| <code>'''4 4 2 3 1 4 6'''</code>
|Daniel-mode of Spanish-Arab Jews
| Daniel-mode of Spanish-Arab Jews
|}
|}
==Octatonic==
 
== Octatonic ==
{| class="wikitable"
{| class="wikitable"
|-
|-
|<code>'''3 3 3 3 3 3 3 3'''</code>
| <code>'''3 3 3 3 3 3 3 3'''</code>
|8-equal, Wyschnegradsky's octatonic
| 8-equal, Wyschnegradsky's octatonic
|-
|-
|<code>'''3 3 4 4 2 1 3 4'''</code>
| <code>'''3 3 4 4 2 1 3 4'''</code>
|Maqam Bayati
| Maqam Bayati
|-
|-
|<code>'''3 3 2 6 2 4 2 2'''</code>
| <code>'''3 3 2 6 2 4 2 2'''</code>
|Maqam Saba
| Maqam Saba
|-
|-
|<code>'''4 3 1 2 4 4 2 4'''</code>
| <code>'''4 3 1 2 4 4 2 4'''</code>
|Maqam Suzidil 'ara
| Maqam Suzidil 'ara
|-
|-
|<code>'''3 3 2 2 4 3 3 4'''</code>
| <code>'''3 3 2 2 4 3 3 4'''</code>
|Maqam Mansuri
| Maqam Mansuri
|-
|-
|<code>'''4 3 3 4 4 2 1 3'''</code>
| <code>'''4 3 3 4 4 2 1 3'''</code>
|Maqam Rast, Dilkashidah, Dilnishin
| Maqam Rast, Dilkashidah, Dilnishin
|-
|-
|<code>'''3 4 2 6 2 4 2 1'''</code>
| <code>'''3 4 2 6 2 4 2 1'''</code>
|Maqam Rahat al-Arwah
| Maqam Rahat al-Arwah
|-
|-
|<code>'''3 4 3 3 4 4 2 1'''</code>
| <code>'''3 4 3 3 4 4 2 1'''</code>
|Maqam Iraq
| Maqam Iraq
|-
|-
|<code>'''2 6 2 4 2 1 3 4'''</code>
| <code>'''2 6 2 4 2 1 3 4'''</code>
|Maqam Hijaz
| Maqam Hijaz
|-
|-
|<code>'''3 4 4 2 1 3 4 3'''</code>
| <code>'''3 4 4 2 1 3 4 3'''</code>
|Maqam Musta'ar
| Maqam Musta'ar
|-
|-
|<code>'''3 4 4 4 2 4 2 1'''</code>
| <code>'''3 4 4 4 2 4 2 1'''</code>
|Maqam Farahnak
| Maqam Farahnak
|-
|-
|<code>'''3 4 3 3 2 6 2 1'''</code>
| <code>'''3 4 3 3 2 6 2 1'''</code>
|Maqam Bastanikar, Tarz Nuin
| Maqam Bastanikar, Tarz Nuin
|-
|-
|<code>'''4 2 6 2 4 2 1 3'''</code>
| <code>'''4 2 6 2 4 2 1 3'''</code>
|Maqam Farah Faza, Maqam Nakriz
| Maqam Farah Faza, Maqam Nakriz
|-
|-
|<code>'''3 1 2 4 4 2 4 4'''</code>
| <code>'''3 1 2 4 4 2 4 4'''</code>
|Maqam Jabburi
| Maqam Jabburi
|-
|-
|<code>'''1 4 4 2 4 4 4 1'''</code>
| <code>'''1 4 4 2 4 4 4 1'''</code>
|Giancarlo Dalmonte's new quarter-tone scale (see [https://www.amazon.co.uk/Lottava-nota-Giancarlo-Dalmonte/dp/8865981385 L'ottava nota])
| Giancarlo Dalmonte's new quarter-tone scale (see [https://www.amazon.co.uk/Lottava-nota-Giancarlo-Dalmonte/dp/8865981385 L'ottava nota])
|-
| <code>'''2 3 2 4 3 3 4 3'''</code>
| John O'Sullivan's [[zen]] scale
|}
|}
==Enneatonic==
 
== Enneatonic ==
{| class="wikitable"
{| class="wikitable"
|-
|-
|<code>'''1 2 3 4 4 1 2 3 4'''</code>
| <code>'''1 2 3 4 4 1 2 3 4'''</code>
|Progressive Enneatonic
| Progressive Enneatonic
|-
|-
|<code>'''4 1 4 1 4 1 4 1 4'''</code>
| <code>'''4 1 4 1 4 1 4 1 4'''</code>
|de Vries 9-tone - [[MOSScales|MOS]] of type [[5L_4s|5L 4s (unfair bug)]] (godzilla/semaphore) (Superbrittle [[Titanium]])
| de Vries 9-tone - [[MOS]] of type [[5L_4s|5L 4s (unfair bug)]] (godzilla/semaphore) (Superbrittle [[Titanium]])
|-
|-
|<code>'''3 4 2 2 2 2 2 4 3'''</code>
| <code>'''3 4 2 2 2 2 2 4 3'''</code>
|Maqam Huzam
| Maqam Huzam
|-
|-
|<code>'''4 4 2 1 3 2 2 4 2'''</code>
| <code>'''4 4 2 1 3 2 2 4 2'''</code>
|Maqam Shawq Afza
| Maqam Shawq Afza
|-
|-
|<code>'''3 3 2 3 3 2 3 3 2'''</code>
| <code>'''3 3 2 3 3 2 3 3 2'''</code>
|[[MOS]] of type [[6L 3s]] (triforce)
| [[MOS]] of type [[6L 3s]] (triforce)
|}
|}
==Decatonic==
== Decatonic ==
{| class="wikitable"
{| class="wikitable"
|-
|-
|<code>'''3 1 3 3 3 1 3 3 1 3'''</code>
| <code>'''3 1 3 3 3 1 3 3 1 3'''</code>
|Breed Decatonic - [[MOSScales|MOS]] of type [[7L_3s|7L 3s (unfair mosh)]]
| Breed Decatonic - [[MOS]] of type [[7L_3s|7L 3s (unfair mosh)]]
|-
|-
|<code>'''2 3 2 2 3 2 3 2 2 3'''</code>
| <code>'''2 3 2 2 3 2 3 2 2 3'''</code>
|Oljare Decatonic - [[MOSScales|MOS]] of type [[4L_6s|4L 6s (fair bicycle)]]
| Oljare Decatonic - [[MOS]] of type [[4L_6s|4L 6s (fair bicycle)]]
|-
|-
|<code>'''2 1 3 2 2 4 2 4 2 2'''</code>
| <code>'''2 1 3 2 2 4 2 4 2 2'''</code>
|Maqam Shawq Tarab
| Maqam Shawq Tarab
|-
|-
|<code>'''4 2 1 3 2 2 4 2 1 3'''</code>
| <code>'''4 2 1 3 2 2 4 2 1 3'''</code>
|Maqam Basandida
| Maqam Basandida
|-
|-
|<code>'''4 3 1 2 1 3 4 2 1 3'''</code>
| <code>'''4 3 1 2 1 3 4 2 1 3'''</code>
|Maqam Yakah
| Maqam Yakah
|}
|}
==Hendecatonic==
 
== Hendecatonic ==
{| class="wikitable"
{| class="wikitable"
|-
|-
|<code>'''4 2 1 3 2 2 2 2 3 1 2'''</code>
| <code>'''4 2 1 3 2 2 2 2 3 1 2'''</code>
|Maqam Hayyan
| Maqam Hayyan
|-
|-
|<code>'''3 2 2 2 2 3 2 2 2 2 2'''</code>
| <code>'''3 2 2 2 2 3 2 2 2 2 2'''</code>
|[[MOS]] of type [[2L 9s]]
| [[MOS]] of type [[2L 9s]]
|}
|}
==Tridecatonic==
 
== Tridecatonic ==
{| class="wikitable"
{| class="wikitable"
|-
|-
|<code>'''1 2 2 2 2 2 2 1 2 2 2 2 2'''</code>
| <code>'''1 2 2 2 2 2 2 1 2 2 2 2 2'''</code>
|de Vries 13-tone - [[MOSScales|MOS]] of type [[11L 2s]]
| de Vries 13-tone - [[MOS]] of type [[11L 2s]]
|-
|-
|<code>'''2 2 2 2 2 1 2 2 2 2 2 2 1'''</code>
| <code>'''2 2 2 2 2 1 2 2 2 2 2 2 1'''</code>
|Agmon Diatonic DS5, Ivan Wyschnegradsky's diatonicized chromatic scale - [[MOSScales|MOS]] of type [[11L 2s]]
| Agmon Diatonic DS5, Ivan Wyschnegradsky's diatonicized chromatic scale - [[MOS]] of type [[11L 2s]]
|}
|}
==Tetradecatonic==
 
== Tetradecatonic ==
{| class="wikitable"
{| class="wikitable"
|-
|-
|'''<code>2 2 1 2 2 2 1 2 2 1 2 2 2 1<tt><tt><tt>'''
| '''<code>2 2 1 2 2 2 1 2 2 1 2 2 2 1<tt><tt><tt>'''
|Young Half-Octave Diatonic - [[MOSScales|MOS]] of type [[10L 4s]]
| Young Half-Octave Diatonic - [[MOS]] of type [[10L 4s]]
|-
|-
|<code>'''1 1 3 1 1 3 1 1 3 1 1 3 1 3'''</code>
| <code>'''1 1 3 1 1 3 1 1 3 1 1 3 1 3'''</code>
|[[MOS]] of type [[5L 9s]] (godzilla/semaphore) (Superbrittle [[Titanium]])
| [[MOS]] of type [[5L 9s]] (godzilla/semaphore) (Superbrittle [[Titanium]])
|}
|}
==Pentadecatonic==
 
== Pentadecatonic ==
{| class="wikitable"
{| class="wikitable"
|-
|-
|<code>'''1 2 1 2 2 1 2 1 2 2 1 2 1 2 2'''</code>
| <code>'''1 2 1 2 2 1 2 1 2 2 1 2 1 2 2'''</code>
|[[MOS]] of type [[9L 6s]] (triforce)
| [[MOS]] of type [[9L 6s]] (triforce)
|}
|}
==Hexadecatonic==
 
== Hexadecatonic ==
{| class="wikitable"
{| class="wikitable"
|-
|-
|<code>'''1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2'''</code>
| <code>'''1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2'''</code>
|Aka the quadruple diminished scale
| Aka the quadruple diminished scale
|}
|}
==Heptadecatonic==
 
== Heptadecatonic ==
{| class="wikitable"
{| class="wikitable"
|-
|-
|<code>'''1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2'''</code>
| <code>'''1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2'''</code>
|[[MOS]] of type [[7L 10s]] (mohajira)
| [[MOS]] of type [[7L 10s]] (mohajira)
|}
|}


Line 359: Line 372:
{| class="wikitable"
{| class="wikitable"
|-
|-
|1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2
| 1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2
|Pathological [[MOS]] of type [[5L 14s]] (godzilla/semaphore) (Superbrittle [[Titanium]])
| Pathological [[MOS]] of type [[5L 14s]] (godzilla/semaphore) (Superbrittle [[Titanium]])
|}
|}
{{Navbox scale gallery}}
[[Category:24edo]]
[[Category:24edo]]
[[Category:Modes]]
[[Category:Modes]]
[[Category:Lists of scales]]
[[Category:Lists of scales]]

Latest revision as of 20:13, 11 February 2025

Some scales available in 24edo. Please add more, discovered or newly-composed! Note also that 24edo can play all 8edo and 12edo scales as well.

Pentatonic

2 8 3 6 5 Anchihoye: Ethiopia
5 5 4 5 5 Quasi-equal Pentatonic - MOS of type 4L 1s (bug)
5 5 5 5 4 Hába's Pentatonic - MOS of type 4L 1s (bug)
6 3 6 6 3 MOS of type 3L 2s (father)
5 2 2 6 9

Hexatonic

1 1 8 4 2 8 Spondeiakos
5 5 2 5 5 2 MOS of type 4L 2s
3 5 3 5 3 5 MOS of type 3L 3s (triforce)

Heptatonic

1 1 8 1 1 8 4 Enharmonic Mixolydian
1 8 1 1 8 4 1 Enharmonic Lydian
8 1 1 8 4 1 1 Enharmonic Phrygian
1 1 8 4 1 1 8 Enharmonic Dorian
1 8 4 1 1 8 1 Enharmonic Hypolydian
8 4 1 1 8 1 1 Enharmonic Hypophrygian
4 1 1 8 1 1 8 Enharmonic Hypodorian
2 3 5 2 3 5 4 Soft Diatonic Mixolydian
3 5 2 3 5 4 2 Soft Diatonic Lydian
5 2 3 5 4 2 3 Soft Diatonic Phrygian
2 3 5 4 2 3 5 Soft Diatonic Dorian
3 5 4 2 3 5 2 Soft Diatonic Hypolydian
5 4 2 3 5 2 3 Soft Diatonic Hypophrygian
4 2 3 5 2 3 5 Soft Diatonic Hypodorian
3 3 4 3 3 4 4 Maqam Ouchairan-Hussaini, Bayatan, Neutral Diatonic Mixolydian - MODMOS of type 3L 4s (mosh)
3 4 3 3 4 4 3 Dastgah-e Sehgah, Neutral Diatonic Lydian - MODMOS of type 3L 4s (mosh)
4 3 3 4 4 3 3 Arabic Diatonic, Maqam Rast, Quasi-equal Heptatonic, Neutral Diatonic Phrygian - MODMOS of type 3L 4s (mosh)
3 3 4 4 3 3 4 Maqam Hussaini, Ushaq, Neutral Diatonic Dorian - MODMOS of type 3L 4s (mosh)
3 4 4 3 3 4 3 Maqam Sikah (Segah), Neutral Diatonic Hypolydian - MODMOS of type 3L 4s (mosh)
4 4 3 3 4 3 3 Neutral Diatonic Hypophrygian - MODMOS of type 3L 4s (mosh)
4 3 3 4 3 3 4 Miha'il Musaqa's mode: Egypt, Neutral Diatonic Hypodorian, Dastgah-e Sehgah, Maqam Nairuz - MODMOS of type 3L 4s (mosh)
1 5 4 1 5 4 4 Diatonic + Enharmonic Diesis Mixolydian
5 4 1 5 4 4 1 Diatonic + Enharmonic Diesis Lydian
4 1 5 4 4 1 5 Diatonic + Enharmonic Diesis Phrygian
1 5 4 4 1 5 4 Diatonic + Enharmonic Diesis Dorian
5 4 4 1 5 4 1 Diatonic + Enharmonic Diesis Hypolydian
4 4 1 5 4 1 5 Diatonic + Enharmonic Diesis Hypophrygian
4 1 5 4 1 5 4 Diatonic + Enharmonic Diesis Hypodorian
1 3 6 1 3 6 4 Chromatic/Enharmonic Mixolydian
3 6 1 3 6 4 1 Chromatic/Enharmonic Lydian
6 1 3 6 4 1 3 Chromatic/Enharmonic Phrygian
1 3 6 4 1 3 6 Chromatic/Enharmonic Dorian
3 6 4 1 3 6 1 Chromatic/Enharmonic Hypolydian
6 4 1 3 6 1 3 Chromatic/Enharmonic Hypophrygian
4 1 3 6 1 3 6 Chromatic/Enharmonic Hypodorian
3 4 3 3 4 3 4 Neutral Mixolydian - MOS of type 3L 4s (mosh)
4 3 3 4 3 4 3 Neutral Lydian - MOS of type 3L 4s (mosh)
3 3 4 3 4 3 4 Neutral Phrygian - MOS of type 3L 4s (mosh)
3 4 3 4 3 4 3 Neutral Dorian, Misaelides 2nd Byzantine mode, Maqam Sikah Baladi - MOS of type 3L 4s (mosh)
4 3 4 3 4 3 3 Neutral Hypolydian - MOS of type 3L 4s (mosh)
3 4 3 4 3 3 4 Neutral Hypophrygian - MOS of type 3L 4s (mosh)
4 3 4 3 3 4 3 Neutral Hypodorian - MOS of type 3L 4s (mosh)
3 5 2 4 3 5 2 Athanasopoulos' Byzantine Liturgical Chromatic, Dastgah-e Chahargah
4 2 4 4 3 3 4 Dastgah-e Nava, Maqam Ushaq Masri
2 7 1 4 2 7 1 Second plagal Byzantine Liturgical mode
3 3 4 4 2 4 4 Maqam 'Ushshaq Turki, Urfa, Isfahan, Dastgah-e Shur
3 3 4 4 4 2 4 Maqam Nahfat
3 3 2 6 2 4 4 Maqam Saba
3 3 2 6 2 6 2 Maqam Sabr Jadid
4 3 3 4 2 6 2 Maqam Suznak (Soznak)
4 3 3 4 4 4 2 Maqam Mahur
3 3 4 2 6 2 4 Maqam Qarjighar, Bayati Shuri
3 4 2 6 2 4 3 Maqam Hizam (Huzam, El Houzam), Rahat al Arouah
2 4 4 4 3 3 4 Maqam Nawa
2 5 3 4 2 5 3 Maqam Higaz-kar
3 4 4 2 4 4 3 Maqam Su'ar, Naghmeh Abuata, Naghmeh Afshari
4 4 2 4 4 3 3 Maqam Jahargah (Jiharkah), Naghmeh Bayat-e Tork, Naghmeh Dashti
3 5 2 4 2 4 4 Dastgah-e Homayun
4 2 4 4 3 5 2 Naghmeh Esfahan
3 6 1 5 2 6 1 Maqam 'Awg 'ara (Aug-ara)
4 1 5 4 2 6 2 Maqam Buselik
4 2 6 2 2 5 3 Maqam Neuter
4 3 3 4 4 2 4 Dance scale of Yi people: China
4 4 2 3 1 4 6 Daniel-mode of Spanish-Arab Jews

Octatonic

3 3 3 3 3 3 3 3 8-equal, Wyschnegradsky's octatonic
3 3 4 4 2 1 3 4 Maqam Bayati
3 3 2 6 2 4 2 2 Maqam Saba
4 3 1 2 4 4 2 4 Maqam Suzidil 'ara
3 3 2 2 4 3 3 4 Maqam Mansuri
4 3 3 4 4 2 1 3 Maqam Rast, Dilkashidah, Dilnishin
3 4 2 6 2 4 2 1 Maqam Rahat al-Arwah
3 4 3 3 4 4 2 1 Maqam Iraq
2 6 2 4 2 1 3 4 Maqam Hijaz
3 4 4 2 1 3 4 3 Maqam Musta'ar
3 4 4 4 2 4 2 1 Maqam Farahnak
3 4 3 3 2 6 2 1 Maqam Bastanikar, Tarz Nuin
4 2 6 2 4 2 1 3 Maqam Farah Faza, Maqam Nakriz
3 1 2 4 4 2 4 4 Maqam Jabburi
1 4 4 2 4 4 4 1 Giancarlo Dalmonte's new quarter-tone scale (see L'ottava nota)
2 3 2 4 3 3 4 3 John O'Sullivan's zen scale

Enneatonic

1 2 3 4 4 1 2 3 4 Progressive Enneatonic
4 1 4 1 4 1 4 1 4 de Vries 9-tone - MOS of type 5L 4s (unfair bug) (godzilla/semaphore) (Superbrittle Titanium)
3 4 2 2 2 2 2 4 3 Maqam Huzam
4 4 2 1 3 2 2 4 2 Maqam Shawq Afza
3 3 2 3 3 2 3 3 2 MOS of type 6L 3s (triforce)

Decatonic

3 1 3 3 3 1 3 3 1 3 Breed Decatonic - MOS of type 7L 3s (unfair mosh)
2 3 2 2 3 2 3 2 2 3 Oljare Decatonic - MOS of type 4L 6s (fair bicycle)
2 1 3 2 2 4 2 4 2 2 Maqam Shawq Tarab
4 2 1 3 2 2 4 2 1 3 Maqam Basandida
4 3 1 2 1 3 4 2 1 3 Maqam Yakah

Hendecatonic

4 2 1 3 2 2 2 2 3 1 2 Maqam Hayyan
3 2 2 2 2 3 2 2 2 2 2 MOS of type 2L 9s

Tridecatonic

1 2 2 2 2 2 2 1 2 2 2 2 2 de Vries 13-tone - MOS of type 11L 2s
2 2 2 2 2 1 2 2 2 2 2 2 1 Agmon Diatonic DS5, Ivan Wyschnegradsky's diatonicized chromatic scale - MOS of type 11L 2s

Tetradecatonic

2 2 1 2 2 2 1 2 2 1 2 2 2 1 Young Half-Octave Diatonic - MOS of type 10L 4s
1 1 3 1 1 3 1 1 3 1 1 3 1 3 MOS of type 5L 9s (godzilla/semaphore) (Superbrittle Titanium)

Pentadecatonic

1 2 1 2 2 1 2 1 2 2 1 2 1 2 2 MOS of type 9L 6s (triforce)

Hexadecatonic

1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2 Aka the quadruple diminished scale

Heptadecatonic

1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2 MOS of type 7L 10s (mohajira)

Enneadecatonic

1 1 1 2 1 1 1 2 1 1 1 2 1 1 1 2 1 1 2 Pathological MOS of type 5L 14s (godzilla/semaphore) (Superbrittle Titanium)


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