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{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
!N | ! N | ||
!L-Nedo | ! L-Nedo | ||
!s-Nedo | ! s-Nedo | ||
|- | |- | ||
|5 | | 5 | ||
| 10¢ | | 10¢ | ||
| -40¢ | | -40¢ | ||
|- | |- | ||
|7 | | 7 | ||
|28.571¢ | | 28.571¢ | ||
| -21.429¢ | | -21.429¢ | ||
|- | |- | ||
|9 | | 9 | ||
|16.667¢ | | 16.667¢ | ||
| -33.333¢ | | -33.333¢ | ||
|- | |- | ||
|10 | | 10 | ||
|30¢ | | 30¢ | ||
| -20¢ | | -20¢ | ||
|- | |- | ||
|11 | | 11 | ||
|40.909¢ | | 40.909¢ | ||
| -9.091¢ | | -9.091¢ | ||
|- | |- | ||
|13 | | 13 | ||
| 7.692¢ | | 7.692¢ | ||
| | | -42.308¢ | ||
|- | |- | ||
|14 | | 14 | ||
|14.286¢ | | 14.286¢ | ||
| -35.714¢ | | -35.714¢ | ||
|- | |- | ||
|15 | | 15 | ||
|20¢ | | 20¢ | ||
| -30¢ | | -30¢ | ||
|- | |- | ||
|16 | | 16 | ||
| 25¢ | | 25¢ | ||
| -25¢ | | -25¢ | ||
|- | |- | ||
|17 | | 17 | ||
|29.412¢ | | 29.412¢ | ||
| -20.588¢ | | -20.588¢ | ||
|- | |- | ||
|18 | | 18 | ||
|33.333¢ | | 33.333¢ | ||
| -16.667¢ | | -16.667¢ | ||
|- | |- | ||
| 19 | | 19 | ||
|36.842¢ | | 36.842¢ | ||
| -13.158¢ | | -13.158¢ | ||
|- | |- | ||
|20 | | 20 | ||
|10¢ | | 10¢ | ||
| -40¢ | | -40¢ | ||
|- | |- | ||
|21 | | 21 | ||
|42.857¢ | | 42.857¢ | ||
| -7.143¢ | | -7.143¢ | ||
|- | |- | ||
|22 | | 22 | ||
|45.4545¢ | | 45.4545¢ | ||
| -4.5455¢ | | -4.5455¢ | ||
|- | |- | ||
|23 | | 23 | ||
|47.826¢ | | 47.826¢ | ||
| -2.174¢ | | -2.174¢ | ||
|} | |} | ||
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== Scales / modes == | == Scales / modes == | ||
=== Pentatonic === | |||
{| class="wikitable" | {| 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" | {| 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" | {| 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" | {| 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" | {| 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" | {| 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" | {| 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" | {| 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|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|11L 2s]] | |||
|} | |} | ||
=== Tetradecatonic === | |||
{| class="wikitable" | {| 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|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" | {| 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" | {| 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" | {| 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" | {| class="wikitable" | ||
! colspan="2" | Enneadecatonic: | |||
! colspan="2" |Enneadecatonic: | |||
|- | |- | ||
|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]]) | ||
|} | |} | ||