11edo: Difference between revisions
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! colspan="2" | [[Ups and Downs Notation|Up/down notation]] <br> with major wider <br> than minor | ! colspan="2" | [[Ups and Downs Notation|Up/down notation]] <br> with major wider <br> than minor | ||
! colspan="2" | Up/down notation <br> with major narrower <br> than minor | ! colspan="2" | Up/down notation <br> with major narrower <br> than minor | ||
![[Smitonic]] | ! [[Smitonic]] | ||
(3rd-gen) | (3rd-gen) | ||
notation | notation | ||
![[Tútim Dennsuul Wafiil|TDW]] <br> [[Machinoid|Machine]] <br> notation | ![[Tútim Dennsuul Wafiil|TDW]] <br> [[Machinoid|Machine]] <br> notation | ||
! Pseudo-Diatonic Category | ! Pseudo-Diatonic Category | ||
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[[File:Sagittal11EDO.jpg|alt=Sagittal11EDO.jpg|Sagittal11EDO.jpg]] | [[File:Sagittal11EDO.jpg|alt=Sagittal11EDO.jpg|Sagittal11EDO.jpg]] | ||
Sagittal and up/down notations are heptatonic systems generated by 5ths (!3/2). Alternative notations include pentatonic 5th-generated, octatonic 5th-generated, nonatonic 5th-generated, heptatonic 3rd-generated, and hexatonic 2nd-generated. | |||
'''<u>Pentatonic 5th-generated:</u>''' '''D * * E G * * A C * * D''' (generator = wide 3/2 = 7\11 = perfect 5thoid) | '''<u>Pentatonic 5th-generated:</u>''' '''D * * E G * * A C * * D''' (generator = wide 3/2 = 7\11 = perfect 5thoid) | ||
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pentatonic genchain of fifths: ...ds3 - ds7 - d4d - d8d - d5d - ms3 - ms7 - P4d - P1 - P5d - Ms3 - Ms7 - A4d - A1 - A5d - As3 - As7... (s = sub-, d = -oid) | pentatonic genchain of fifths: ...ds3 - ds7 - d4d - d8d - d5d - ms3 - ms7 - P4d - P1 - P5d - Ms3 - Ms7 - A4d - A1 - A5d - As3 - As7... (s = sub-, d = -oid) | ||
'''<u> | '''<u>Octatonic 5th-generated:</u>''' '''A B * C D E * F G * H A''' (generator = wide 3/2 = 7\11 = perfect 6th) | ||
A - B - B#/Cb - C - D - E - E#/Fb - F - G - G#/Hb - H - A | A - B - B#/Cb - C - D - E - E#/Fb - F - G - G#/Hb - H - A | ||
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octatonic genchain of sixths: ...d7 - d4 - d9 - d6 - m3 - m8 - m5 - m2 - m7 - P4 - P1 - P6 - M3 - M8 - M5 - M2 - M7 - A4 - A1 - A6 - A3... | octatonic genchain of sixths: ...d7 - d4 - d9 - d6 - m3 - m8 - m5 - m2 - m7 - P4 - P1 - P6 - M3 - M8 - M5 - M2 - M7 - A4 - A1 - A6 - A3... | ||
'''<u>Nonatonic 5th-generated:</u> A B * C D E F G * H J A''' (generator = narrow 3/2 = 6\11 = perfect 6th) | '''<u>Nonatonic 5th-generated:</u> A B * C D E F G * H J A''' ([[Joanatonic]] generator = narrow 3/2 = 6\11 = perfect 6th) | ||
A - B - B#/Cb - C - D - E - F - G - G#/Hb - H - J - A | A - B - B#/Cb - C - D - E - F - G - G#/Hb - H - J - A | ||
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nonotonic genchain of sixths: ...M2 - M7 - M3 - M8 - M4 - M9 - P5 - P1 - P6 - m2 - m7 - m3 - m8 - m4 - m9... | nonotonic genchain of sixths: ...M2 - M7 - M3 - M8 - M4 - M9 - P5 - P1 - P6 - m2 - m7 - m3 - m8 - m4 - m9... | ||
'''<u>Heptatonic 3rd-generated:</u> D * E F * G A * B C * D''' (generator = 3\11 = perfect 3rd) | '''<u>Heptatonic 3rd-generated:</u> D * E F * G A * B C * D''' ([[Smitonic]] generator = 3\11 = perfect 3rd) | ||
D - D#/Eb - E - F - F#/Gb - G - A - A#/Bb - B - C - C#/Db - D | D - D#/Eb - E - F - F#/Gb - G - A - A#/Bb - B - C - C#/Db - D | ||
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genchain of thirds: ...M5 - M7 - M2 - M4 - P6 - P1 - P3 - m5 - m7 - m2 - m4 - d6... | genchain of thirds: ...M5 - M7 - M2 - M4 - P6 - P1 - P3 - m5 - m7 - m2 - m4 - d6... | ||
'''<u>Hexatonic 2nd-generated:</u> R * S * T * U * P Q''' '''* R''' ([[Machinoid]] generator = 2\11 = perfect 2nd) | |||
R - R#/Sb - S - S#/Tb - T - T#/Ub - U - U#/Pb - P - Q - Q#/Rb - R | |||
P1 - A1/d2 - P2 - m3 - M3 - m4 - M4 - m5 - M5 - P6 - A7/d8 - P8 | |||
genchain of seconds: ...E# - G# - B# - D# - F# - A# - C# - E - G - B - D - F - A - C - Eb - Gb - Bb - Db - Fb - Ab - Cb... | |||
genchain of seconds: ...M5 - M7 - M2 - M4 - P6 - P1 - P3 - m5 - m7 - m2 - m4 - d6... | |||
==Commas== | ==Commas== | ||