User:Ganaram inukshuk/Sandbox: Difference between revisions

Ganaram inukshuk (talk | contribs)
Ganaram inukshuk (talk | contribs)
MOS mode degrees (proposed encoding scheme): Wrote down rationale for interval encoding
Line 293: Line 293:
|-
|-
|2
|2
|Large plus 1 chroma
|Large plus 2 chromas
|Perfect plus 2 chromas
|Perfect plus 2 chromas
|Augmented
|Augmented
|2× Augmented
|2× Augmented
|2× Augmented
|3× Augmented
|2× Augmented
|2× Augmented
|-
|-
|1
|1
|Large
|Large plus 1 chroma
|Perfect plus 1 chroma
|Perfect plus 1 chroma
|Major
|Perfect
|Augmented
|Augmented
|Augmented
|2× Augmented
|Augmented
|Augmented
|-
|-
|0
|0
|Small
|'''Large'''
|Perfect
|'''Perfect'''
|Minor
|'''Major'''
|'''Perfect'''
|'''Augmented'''
|'''Perfect'''
|-
| -1
|'''Small'''
|Perfect minus 1 chroma
|'''Minor'''
|'''Diminished'''
|'''Perfect'''
|Diminished
|Diminished
|Perfect
|Perfect
|-
|-
| -1
| -2
|Small minus 1 chroma
|Small minus 1 chroma
|Perfect minus 1 chroma
|Perfect minus 2 chromas
|Diminished
|Diminished
|2× Diminished
|2× Diminished
|Diminished
|Diminished
|Diminished
|Diminished
|-
|-
| -2
| -3
|Small minus 2 chromas
|Small minus 2 chromas
|Perfect minus 2 chromas
|Perfect minus 3 chromas
|2× Diminished
|2× Diminished
|3× Diminished
|3× Diminished
|2× Diminished
|2× Diminished
|Diminished
|Diminished
|}
Rationale:
 
* Easy to translate values to number of chromas for mos notation. Best done with notation assigned to the brightest mode, but can be adapted for arbitrary notations by adjusting the approprite chroma offsets.
 
Examples of encodings for 5L 2s
{| class="wikitable"
|+Interval encodings for 5L 2s
! rowspan="2" |Interval in mossteps
! colspan="2" |Encoding
! rowspan="2" |Decoding
! rowspan="2" |Standard notation in the key of F
|-
!Mossteps
!Chroma
|-
|0
|0
|0
|Perfect 0-diastep
|F
|-
|s
|1
| -1
|Minor 1-diastep
|Fb
|-
|L
|1
|0
|Major 1-diastep
|G
|-
|L + s
|2
| -1
|Minor 2-diastep
|Gb
|-
|2L
|2
|0
|Major 2-diastep
|A
|-
|2L + s
|3
| -1
|Perfect 3-diastep
|Ab
|-
|3L
|3
|0
|Augmented 3-diastep
|B
|-
|2L + 2s
|4
| -1
|Diminished 4-diastep
|Bb
|-
|3L + s
|4
|0
|Perfect 4-diastep
|C
|-
|3L + 2s
|5
| -1
|Minor 5-diastep
|Cb
|-
|4L + s
|5
|0
|Major 5-diastep
|D
|-
|4L + 2s
|6
| -1
|Minor 6-diastep
|Db
|-
|5L + s
|6
|0
|Major 6-diastep
|E
|-
|5L + 2s
|7
|0
|Perfect 7-diastep
|F
|}
|}
{| class="wikitable sortable"
{| class="wikitable sortable"