10edo: Difference between revisions
Dave Keenan (talk | contribs) →Sagittal notation: added subsubheading "Evo and Revo flavors" |
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! Interval names | ! Interval names | ||
! colspan="3" | [[Ups and downs notation]] | ! colspan="3" | [[Ups and downs notation]] | ||
([[Enharmonic unisons in ups and downs notation|EUs]]: vvA1 and m2) | |||
! Audio | ! Audio | ||
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The interval table above shows the diatonic notation, generated by 5ths (6\10, representing 3/2). Alternative notations include pentatonic fifth-generated and heptatonic 3rd-generated. | The interval table above shows the diatonic notation, generated by 5ths (6\10, representing 3/2). Alternative notations include pentatonic fifth-generated and heptatonic 3rd-generated. | ||
==== Pentatonic 5th-generated ==== | |||
'''D * E * G * A * C * D''' (generator = 3/2 = 6\10 = perfect 5thoid) | |||
D - D^/Ev - E - E^/Gv - G - G^/Av - A - A^/Cv - C - C^/Dv - D | D - D^/Ev - E - E^/Gv - G - G^/Av - A - A^/Cv - C - C^/Dv - D | ||
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1 - ^1/vs3 - s3 - ^s3/v4d - 4d - ^4d/v5d - 5d - ^5d/vs7 - s7 - ^s7/v8d - 8d (s = sub-, d = -oid) | 1 - ^1/vs3 - s3 - ^s3/v4d - 4d - ^4d/v5d - 5d - ^5d/vs7 - s7 - ^s7/v8d - 8d (s = sub-, d = -oid) | ||
pentatonic | pentatonic circles of fifths: ...D - A - E - C - G - D... and ...^D - ^A - ^E - ^C - ^G - ^D... (or equivalently ...vD - vA - vE - vC - vG - vD...) | ||
pentatonic | pentatonic circles of fifths: ...1 - 5d - s3 - s7 - 4d - 1... and ...^1 - ^5d - ^s3 - ^s7 - ^4d - ^1... (or equivalently ...v1 - v5d - vs3 - vs7 - v4d - v1...) | ||
(s- = sub-, -d = -oid, see [[5edo#Alternative%20notations|5edo notation]]) | |||
[[Enharmonic unison]]: vvs3 | |||
==== Heptatonic 3rd-generated ==== | |||
'''D E * F G * A B * C D''' (generator = 3\10 = perfect 3rd) | |||
D - E - E#/Fb - F - G - G#/Ab - A - B - B#/Cb - C - D | D - E - E#/Fb - F - G - G#/Ab - A - B - B#/Cb - C - D | ||
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genchain of 3rds: ...d8 - d3 - m5 - m7 - m2 - m4 - P6 - P1 - P3 - M5 - M7 - M2 - M4 - A6 - A1... | genchain of 3rds: ...d8 - d3 - m5 - m7 - m2 - m4 - P6 - P1 - P3 - M5 - M7 - M2 - M4 - A6 - A1... | ||
[[Enharmonic unison]]: d2 | |||
See below: 3L 4s Mosh notation | |||
=== 3L 4s (mosh) notation === | |||
See above: Heptatonic 3rd-generated notation. | |||
The notation of Neutral[7]. Notes are denoted as LsLssLs = CDEFGABC, and raising and lowering by a chroma (L − s), 1 step in this instance, is denoted by ♯ and ♭. | The notation of Neutral[7]. Notes are denoted as LsLssLs = CDEFGABC, and raising and lowering by a chroma (L − s), 1 step in this instance, is denoted by ♯ and ♭. | ||
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| 2/1 | | 2/1 | ||
|} | |} | ||
=== Sagittal notation === | |||
This notation is a subset of the notations for EDOs [[20edo#Sagittal notation|20]] and [[30edo#Sagittal notation|30]] and a superset of the notation for [[5edo#Sagittal notation|5-EDO]]. | |||
====Evo and Revo flavors==== | |||
<imagemap> | |||
File:10-EDO_Sagittal.svg | |||
desc none | |||
rect 80 0 300 50 [[Sagittal_notation]] | |||
rect 319 0 479 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation] | |||
rect 20 80 319 106 [[Fractional_3-limit_notation#Bad-fifths_apotome-fraction_notation | apotome-fraction notation]] | |||
default [[File:10-EDO_Sagittal.svg]] | |||
</imagemap> | |||
====Evo-SZ flavor==== | |||
<imagemap> | |||
File:10-EDO_Evo-SZ_Sagittal.svg | |||
desc none | |||
rect 80 0 300 50 [[Sagittal_notation]] | |||
rect 315 0 475 80 [https://sagittal.org#periodic-table Periodic table of EDOs with sagittal notation] | |||
rect 20 80 315 106 [[Fractional_3-limit_notation#Bad-fifths_apotome-fraction_notation | apotome-fraction notation]] | |||
default [[File:10-EDO_Evo-SZ_Sagittal.svg]] | |||
</imagemap> | |||
Because it contains no Sagittal symbols, this Evo-SZ Sagittal notation is also a Stein-Zimmerman notation. | |||
== Approximation to JI == | == Approximation to JI == | ||