22edo: Difference between revisions

BudjarnLambeth (talk | contribs)
BudjarnLambeth (talk | contribs)
mNo edit summary
Line 225: Line 225:


=== Porcupine Notation ===
=== Porcupine Notation ===
Another possible notation uses the porcupine generator to generate the notation as well. The 2nd and 7th are perfect, and the 4th and 5th are imperfect like the 3rd and 6th. This is the only way to use a heptatonic notation without additional accidentals. The keyboard runs D * * E * * F * * G * * * A * * B * * C * * D. The natural notes represent a chain of 2nds ABCDEFG.
Porcupine Notation uses the porcupine generator to generate the notation as well. The 2nd and 7th are perfect, and the 4th and 5th are imperfect like the 3rd and 6th. This is the only way to use a heptatonic notation without additional accidentals. The keyboard runs D * * E * * F * * G * * * A * * B * * C * * D. The natural notes represent a chain of 2nds ABCDEFG.


=== Pentatonic Notation ===
=== Pentatonic Notation ===
Yet another notation is pentatonic. The degrees are unison, subthird, fourthoid, fifthoid, subseventh and octoid. This is the only way to use a chain-of-fifths notation without additional accidentals. The keyboard runs D * * * * F * * * G * * * A * * * * C * * * D. The natural notes represent a chain of 5ths FCGDA.
In Pentatonic Notation, the degrees are unison, subthird, fourthoid, fifthoid, subseventh and octoid. This is the only way to use a chain-of-fifths notation without additional accidentals. The keyboard runs D * * * * F * * * G * * * A * * * * C * * * D. The natural notes represent a chain of 5ths FCGDA.


=== Decatonic Notation ===
=== Decatonic Notation ===
The decatonic notation is based on Paul Erlich's decatonic scales. Unlike typical notation, the decatonic system is based on a scale of 10 tones rather than 7. This approach requires an entire re-learning of chords, intervals, and notation, but it allows 22EDO to be notated using only one pair of accidentals, and gives the opportunity to escape a heptatonic thinking pattern. The system is based on two chains of fifths: one represented by Latin letters, the other by Greek. The two chains can be looked at as two juxtaposed pentatonic scales.
The Decatonic Notation is based on Paul Erlich's decatonic scales. Unlike typical notation, the decatonic system is based on a scale of 10 tones rather than 7. This approach requires an entire re-learning of chords, intervals, and notation, but it allows 22EDO to be notated using only one pair of accidentals, and gives the opportunity to escape a heptatonic thinking pattern. The system is based on two chains of fifths: one represented by Latin letters, the other by Greek. The two chains can be looked at as two juxtaposed pentatonic scales.


Chain 1: C G D A E
Chain 1: C G D A E
Line 284: Line 284:
! colspan="3" | Porcupine
! colspan="3" | Porcupine
! colspan="3" | Pentatonic
! colspan="3" | Pentatonic
! colspan="3" |Decatonic
! colspan="3" |Sagittal
! colspan="3" |Ups and Downs
|-
|-
| 0
| 0
Line 295: Line 298:
| P1
| P1
| D
| D
|
|
|
|
|
|
|
|
|
|-
|-
| 1
| 1
Line 306: Line 318:
| A1
| A1
| D#
| D#
|
|
|
|
|
|
|
|
|
|-
|-
| 2
| 2
Line 317: Line 338:
| AA1, <br>dds3
| AA1, <br>dds3
| Dx, <br>Fb<span style="vertical-align: super;">3 </span>
| Dx, <br>Fb<span style="vertical-align: super;">3 </span>
|
|
|
|
|
|
|
|
|
|-
|-
| 3
| 3
Line 328: Line 358:
| ds3
| ds3
| Fbb
| Fbb
|
|
|
|
|
|
|
|
|
|-
|-
| 4
| 4
Line 339: Line 378:
| ms3
| ms3
| Fb
| Fb
|
|
|
|
|
|
|
|
|
|-
|-
| 5
| 5
Line 350: Line 398:
| Ms3
| Ms3
| F
| F
|
|
|
|
|
|
|
|
|
|-
|-
| 6
| 6
Line 361: Line 418:
| As3
| As3
| F#
| F#
|
|
|
|
|
|
|
|
|
|-
|-
| 7
| 7
Line 372: Line 438:
| AAs3, <br>dd4d
| AAs3, <br>dd4d
| Fx, <br>Gbb
| Fx, <br>Gbb
|
|
|
|
|
|
|
|
|
|-
|-
| 8
| 8
Line 383: Line 458:
| d4d
| d4d
| Gb
| Gb
|
|
|
|
|
|
|
|
|
|-
|-
| 9
| 9
Line 394: Line 478:
| P4d
| P4d
| G
| G
|
|
|
|
|
|
|
|
|
|-
|-
| 10
| 10
Line 405: Line 498:
| A4d
| A4d
| G#
| G#
|
|
|
|
|
|
|
|
|
|-
|-
| 11
| 11
Line 417: Line 519:
| AA4d, <br>dd5d
| AA4d, <br>dd5d
| Gx, <br>Abb
| Gx, <br>Abb
|
|
|
|
|
|
|
|
|
|-
|-
| 12
| 12
Line 428: Line 539:
| d5d
| d5d
| Ab
| Ab
|
|
|
|
|
|
|
|
|
|-
|-
| 13
| 13
Line 439: Line 559:
| P5d
| P5d
| A
| A
|
|
|
|
|
|
|
|
|
|-
|-
| 14
| 14
Line 450: Line 579:
| A5d
| A5d
| A#
| A#
|
|
|
|
|
|
|
|
|
|-
|-
| 15
| 15
Line 461: Line 599:
| AA5d, <br>dds7
| AA5d, <br>dds7
| Ax, <br>Cb<span style="vertical-align: super;">3</span>
| Ax, <br>Cb<span style="vertical-align: super;">3</span>
|
|
|
|
|
|
|
|
|
|-
|-
| 16
| 16
Line 472: Line 619:
| ds7
| ds7
| Cbb
| Cbb
|
|
|
|
|
|
|
|
|
|-
|-
| 17
| 17
Line 483: Line 639:
| ms7
| ms7
| Cb
| Cb
|
|
|
|
|
|
|
|
|
|-
|-
| 18
| 18
Line 494: Line 659:
| Ms7
| Ms7
| C
| C
|
|
|
|
|
|
|
|
|
|-
|-
| 19
| 19
Line 505: Line 679:
| As7
| As7
| C#
| C#
|
|
|
|
|
|
|
|
|
|-
|-
| 20
| 20
Line 516: Line 699:
| AAs7, <br>dd8
| AAs7, <br>dd8
| Cx, <br>Dbb
| Cx, <br>Dbb
|
|
|
|
|
|
|
|
|
|-
|-
| 21
| 21
Line 527: Line 719:
| d8
| d8
| Db
| Db
|
|
|
|
|
|
|
|
|
|-
|-
| 22
| 22
Line 538: Line 739:
| P8
| P8
| D
| D
|
|
|
|
|
|
|
|
|
|}
|}