24edo: Difference between revisions

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==Scales / modes==
==Scales / modes==
 
''See [[24edo modes]].''
===Pentatonic===
 
{| class="wikitable"
|-
|<tt>'''2 8 3 6 5'''</tt>
|Anchihoye: Ethiopia
|-
|<tt>'''5 5 4 5 5'''</tt>
|Quasi-equal Pentatonic - [[MOSScales|MOS]] of type [[4L_1s|4L 1s (bug)]]
|-
|<tt>'''5 5 5 5 4'''</tt>
|Hába's Pentatonic - [[MOSScales|MOS]] of type [[4L_1s|4L 1s (bug)]]
|-
|<tt>'''6 3 6 6 3'''</tt>
|[[MOS]] of type [[3L 2s]] (father)
|}
 
===Hexatonic===
 
{| class="wikitable"
|-
|<tt>'''1 1 8 4 2 8'''</tt>
|Spondeiakos
|-
|<tt>'''5 5 2 5 5 2'''</tt>
|[[MOS]] of type [[4L 2s]]
|-
|<tt>'''3 5 3 5 3 5'''</tt>
|[[MOS]] of type [[3L 3s]] (triforce)
|}
 
===Heptatonic===
 
{| class="wikitable"
|-
|<tt>'''1 1 8 1 1 8 4'''</tt>
|Enharmonic Mixolydian
|-
|<tt>'''1 8 1 1 8 4 1'''</tt>
|Enharmonic Lydian
|-
|<tt>'''8 1 1 8 4 1 1'''</tt>
|Enharmonic Phrygian
|-
|<tt>'''1 1 8 4 1 1 8'''</tt>
|Enharmonic Dorian
|-
|<tt>'''1 8 4 1 1 8 1'''</tt>
|Enharmonic Hypolydian
|-
|<tt>'''8 4 1 1 8 1 1'''</tt>
|Enharmonic Hypophrygian
|-
|<tt>'''4 1 1 8 1 1 8'''</tt>
|Enharmonic Hypodorian
|-
|<tt>'''2 3 5 2 3 5 4'''</tt>
|Soft Diatonic Mixolydian
|-
|<tt>'''3 5 2 3 5 4 2'''</tt>
|Soft Diatonic Lydian
|-
|<tt>'''5 2 3 5 4 2 3'''</tt>
|Soft Diatonic Phrygian
|-
|<tt>'''2 3 5 4 2 3 5'''</tt>
|Soft Diatonic Dorian
|-
|<tt>'''3 5 4 2 3 5 2'''</tt>
|Soft Diatonic Hypolydian
|-
|<tt>'''5 4 2 3 5 2 3'''</tt>
|Soft Diatonic Hypophrygian
|-
|<tt>'''4 2 3 5 2 3 5'''</tt>
|Soft Diatonic Hypodorian
|-
|<tt>'''3 3 4 3 3 4 4'''</tt>
|Maqam Ouchairan-Hussaini, Bayatan, Neutral Diatonic Mixolydian - [[MODMOS_Scales|MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|<tt>'''3 4 3 3 4 4 3'''</tt>
|Dastgah-e Sehgah, Neutral Diatonic Lydian - [[MODMOS_Scales|MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|<tt>'''4 3 3 4 4 3 3'''</tt>
|Arabic Diatonic, Maqam Rast, Quasi-equal Heptatonic, Neutral Diatonic Phrygian - [[MODMOS_Scales|MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|<tt>'''3 3 4 4 3 3 4'''</tt>
|Maqam Hussaini, Ushaq, Neutral Diatonic Dorian - [[MODMOS_Scales|MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|<tt>'''3 4 4 3 3 4 3'''</tt>
|Maqam Sikah (Segah), Neutral Diatonic Hypolydian - [[MODMOS_Scales|MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|<tt>'''4 4 3 3 4 3 3'''</tt>
|Neutral Diatonic Hypophrygian - [[MODMOS_Scales|MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|<tt>'''4 3 3 4 3 3 4'''</tt>
|Miha'il Musaqa's mode: Egypt, Neutral Diatonic Hypodorian, Dastgah-e Sehgah, Maqam Nairuz - [[MODMOS_Scales|MODMOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|<tt>'''1 5 4 1 5 4 4'''</tt>
|Diatonic + Enharmonic Diesis Mixolydian
|-
|<tt>'''5 4 1 5 4 4 1'''</tt>
|Diatonic + Enharmonic Diesis Lydian
|-
|<tt>'''4 1 5 4 4 1 5'''</tt>
|Diatonic + Enharmonic Diesis Phrygian
|-
|<tt>'''1 5 4 4 1 5 4'''</tt>
|Diatonic + Enharmonic Diesis Dorian
|-
|<tt>'''5 4 4 1 5 4 1'''</tt>
|Diatonic + Enharmonic Diesis Hypolydian
|-
|<tt>'''4 4 1 5 4 1 5'''</tt>
| Diatonic + Enharmonic Diesis Hypophrygian
|-
|<tt>'''4 1 5 4 1 5 4'''</tt>
|Diatonic + Enharmonic Diesis Hypodorian
|-
|<tt>'''1 3 6 1 3 6 4'''</tt>
|Chromatic/Enharmonic Mixolydian
|-
|<tt>'''3 6 1 3 6 4 1'''</tt>
|Chromatic/Enharmonic Lydian
|-
|<tt>'''6 1 3 6 4 1 3'''</tt>
|Chromatic/Enharmonic Phrygian
|-
|<tt>'''1 3 6 4 1 3 6'''</tt>
|Chromatic/Enharmonic Dorian
|-
|<tt>'''3 6 4 1 3 6 1'''</tt>
|Chromatic/Enharmonic Hypolydian
|-
|<tt>'''6 4 1 3 6 1 3'''</tt>
|Chromatic/Enharmonic Hypophrygian
|-
|<tt>'''4 1 3 6 1 3 6'''</tt>
|Chromatic/Enharmonic Hypodorian
|-
|<tt>'''3 4 3 3 4 3 4'''</tt>
|Neutral Mixolydian - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|<tt>'''4 3 3 4 3 4 3'''</tt>
|Neutral Lydian - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|<tt>'''3 3 4 3 4 3 4'''</tt>
|Neutral Phrygian - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|<tt>'''3 4 3 4 3 4 3'''</tt>
|Neutral Dorian, Misaelides 2nd Byzantine mode, Maqam Sikah Baladi - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|<tt>'''4 3 4 3 4 3 3'''</tt>
| Neutral Hypolydian - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|<tt>'''3 4 3 4 3 3 4'''</tt>
| Neutral Hypophrygian - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|<tt>'''4 3 4 3 3 4 3'''</tt>
|Neutral Hypodorian - [[MOSScales|MOS]] of type [[3L_4s|3L 4s (mosh)]]
|-
|<tt>'''3 5 2 4 3 5 2'''</tt>
|Athanasopoulos' Byzantine Liturgical Chromatic, Dastgah-e Chahargah
|-
|<tt>'''4 2 4 4 3 3 4'''</tt>
|Dastgah-e Nava, Maqam Ushaq Masri
|-
|<tt>'''2 7 1 4 2 7 1'''</tt>
|Second plagal Byzantine Liturgical mode
|-
|<tt>'''3 3 4 4 2 4 4'''</tt>
|Maqam 'Ushshaq Turki, Urfa, Isfahan, Dastgah-e Shur
|-
|<tt>'''3 3 4 4 4 2 4'''</tt>
| Maqam Nahfat
|-
|<tt>'''3 3 2 6 2 4 4'''</tt>
|Maqam Saba
|-
|<tt>'''3 3 2 6 2 6 2'''</tt>
|Maqam Sabr Jadid
|-
|<tt>'''4 3 3 4 2 6 2'''</tt>
|Maqam Suznak (Soznak)
|-
|<tt>'''4 3 3 4 4 4 2'''</tt>
|Maqam Mahur
|-
|<tt>'''3 3 4 2 6 2 4'''</tt>
|Maqam Qarjighar, Bayati Shuri
|-
|<tt>'''3 4 2 6 2 4 3'''</tt>
|Maqam Hizam (Huzam, El Houzam), Rahat al Arouah
|-
|<tt>'''2 4 4 4 3 3 4'''</tt>
|Maqam Nawa
|-
|<tt>'''2 5 3 4 2 5 3'''</tt>
|Maqam Higaz-kar
|-
|<tt>'''3 4 4 2 4 4 3'''</tt>
|Maqam Su'ar, Naghmeh Abuata, Naghmeh Afshari
|-
|<tt>'''4 4 2 4 4 3 3'''</tt>
|Maqam Jahargah (Jiharkah), Naghmeh Bayat-e Tork, Naghmeh Dashti
|-
|<tt>'''3 5 2 4 2 4 4'''</tt>
|Dastgah-e Homayun
|-
|<tt>'''4 2 4 4 3 5 2'''</tt>
|Naghmeh Esfahan
|-
|<tt>'''3 6 1 5 2 6 1'''</tt>
|Maqam 'Awg 'ara (Aug-ara)
|-
|<tt>'''4 1 5 4 2 6 2'''</tt>
|Maqam Buselik
|-
|<tt>'''4 2 6 2 2 5 3'''</tt>
|Maqam Neuter
|-
|<tt>'''4 3 3 4 4 2 4'''</tt>
|Dance scale of Yi people: China
|-
|<tt>'''4 4 2 3 1 4 6'''</tt>
|Daniel-mode of Spanish-Arab Jews
|}
 
===Octatonic===
 
{| class="wikitable"
|-
|<tt>'''3 3 3 3 3 3 3 3'''</tt>
|8-equal, Wyschnegradsky's octatonic
|-
|<tt>'''3 3 4 4 2 1 3 4'''</tt>
|Maqam Bayati
|-
|<tt>'''3 3 2 6 2 4 2 2'''</tt>
|Maqam Saba
|-
|<tt>'''4 3 1 2 4 4 2 4'''</tt>
|Maqam Suzidil 'ara
|-
|<tt>'''3 3 2 2 4 3 3 4'''</tt>
|Maqam Mansuri
|-
|<tt>'''4 3 3 4 4 2 1 3'''</tt>
|Maqam Rast, Dilkashidah, Dilnishin
|-
|<tt>'''3 4 2 6 2 4 2 1'''</tt>
| Maqam Rahat al-Arwah
|-
|<tt>'''3 4 3 3 4 4 2 1'''</tt>
|Maqam Iraq
|-
|<tt>'''2 6 2 4 2 1 3 4'''</tt>
|Maqam Hijaz
|-
|<tt>'''3 4 4 2 1 3 4 3'''</tt>
|Maqam Musta'ar
|-
|<tt>'''3 4 4 4 2 4 2 1'''</tt>
|Maqam Farahnak
|-
|<tt>'''3 4 3 3 2 6 2 1'''</tt>
|Maqam Bastanikar, Tarz Nuin
|-
|<tt>'''4 2 6 2 4 2 1 3'''</tt>
|Maqam Farah Faza, Maqam Nakriz
|-
|<tt>'''3 1 2 4 4 2 4 4'''</tt>
|Maqam Jabburi
|-
|<tt>'''1 4 4 2 4 4 4 1'''</tt>
|Giancarlo Dalmonte's new quarter-tone scale (see [https://www.amazon.co.uk/Lottava-nota-Giancarlo-Dalmonte/dp/8865981385 L'ottava nota])
|}
 
===Enneatonic===
 
{| class="wikitable"
|-
|<tt>'''1 2 3 4 4 1 2 3 4'''</tt>
| Progressive Enneatonic
|-
|<tt>'''4 1 4 1 4 1 4 1 4'''</tt>
|de Vries 9-tone - [[MOSScales|MOS]] of type [[5L_4s|5L 4s (unfair bug)]] (godzilla/semaphore) (Superbrittle [[Titanium]])
|-
|<tt>'''3 4 2 2 2 2 2 4 3'''</tt>
| Maqam Huzam
|-
|<tt>'''4 4 2 1 3 2 2 4 2'''</tt>
|Maqam Shawq Afza
|-
|<tt>'''3 3 2 3 3 2 3 3 2'''</tt>
|[[MOS]] of type [[6L 3s]] (triforce)
|}
 
===Decatonic===
 
{| class="wikitable"
|-
|<tt>'''3 1 3 3 3 1 3 3 1 3'''</tt>
| Breed Decatonic - [[MOSScales|MOS]] of type [[7L_3s|7L 3s (unfair mosh)]]
|-
|<tt>'''2 3 2 2 3 2 3 2 2 3'''</tt>
|Oljare Decatonic - [[MOSScales|MOS]] of type [[4L_6s|4L 6s (fair bicycle)]]
|-
|<tt>'''2 1 3 2 2 4 2 4 2 2'''</tt>
| Maqam Shawq Tarab
|-
|<tt>'''4 2 1 3 2 2 4 2 1 3'''</tt>
|Maqam Basandida
|-
|<tt>'''4 3 1 2 1 3 4 2 1 3'''</tt>
|Maqam Yakah
|}
 
===Hendecatonic===
 
{| class="wikitable"
|-
|<tt>'''4 2 1 3 2 2 2 2 3 1 2'''</tt>
|Maqam Hayyan
|-
|<tt>'''3 2 2 2 2 3 2 2 2 2 2'''</tt>
|[[MOS]] of type [[2L 9s]]
|}
 
===Tridecatonic ===
 
{| class="wikitable"
|-
|<tt>'''1 2 2 2 2 2 2 1 2 2 2 2 2'''</tt>
| de Vries 13-tone - [[MOSScales|MOS]] of type [[11L 2s]]
|-
|<tt>'''2 2 2 2 2 1 2 2 2 2 2 2 1'''</tt>
|Agmon Diatonic DS5, Ivan Wyschnegradsky's diatonicized chromatic scale - [[MOSScales|MOS]] of type [[11L 2s]]
|}
 
===Tetradecatonic ===
 
{| class="wikitable"
|-
|'''<tt>2 2 1 2 2 2 1 2 2 1 2 2 2 1<tt>'''
|Young Half-Octave Diatonic - [[MOSScales|MOS]] of type [[10L 4s]]
|-
|<tt>'''1 1 3 1 1 3 1 1 3 1 1 3 1 3'''</tt>
|[[MOS]] of type [[5L 9s]] (godzilla/semaphore) (Superbrittle [[Titanium]])
|}
 
===Pentadecatonic===
 
{| class="wikitable"
|-
|<tt>'''1 2 1 2 2 1 2 1 2 2 1 2 1 2 2'''</tt>
|[[MOS]] of type [[9L 6s]] (triforce)
|}
 
===Hexadecatonic===
 
{| class="wikitable"
|-
|<tt>'''1 2 1 2 1 2 1 2 1 2 1 2 1 2 1 2'''</tt>
|Aka the quadruple diminished scale
|}
 
===Heptadecatonic===
 
{| class="wikitable"
|-
|<tt>'''1 1 2 1 2 1 1 2 1 2 1 1 2 1 2 1 2'''</tt>
|[[MOS]] of type [[7L 10s]] (mohajira)
|}
 
{| class="wikitable"
! colspan="2" |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]])
|}


== Counterpoint ==
== Counterpoint ==