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User:VectorGraphics/Walker brightness notation: Difference between revisions

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== What about accidentals? ==
== What about accidentals? ==
This system does not specify accidentals. A recommendation is to use "sharp" and "flat" to cover the distances between some kind of minor third and some kind of major third (if not thirds, then seconds, sixths, or sevenths), preferably those close to either the common (300c and 400c) or just (315c and 386c) thirds, but the two are usually defined in terms of the circle of fifths (as in ups-and-downs notation and in Pythagorean tuning) and that can be used as well, where such systems are applicable.
This system does not specify accidentals. A recommendation is to use "sharp" and "flat" to cover the distances between some kind of minor third and some kind of major third (if not thirds, then seconds, sixths, or sevenths), preferably those close to either the common (300c and 400c) or just (315c and 386c) thirds, but the two are usually defined in terms of the circle of fifths (as in ups-and-downs notation and in Pythagorean tuning) and that can be used as well, where such systems are applicable.  


== Examples applied to actual scales ==
12edo is the same as normal:
{| class="wikitable"
!Degree
!Cents
!Name
|-
|0
|0
|unison
|-
|1
|100
|minor second
|-
|2
|200
|major second
|-
|3
|300
|minor third
|-
|4
|400
|major third
|-
|5
|500
|perfect fourth
|-
|6
|600
|tritone
|-
|7
|700
|perfect fifth
|-
|8
|800
|minor sixth
|-
|9
|900
|major sixth
|-
|10
|1000
|minor seventh
|-
|11
|1100
|major seventh
|-
|12
|1200
|octave
|}
So is 17edo, due to its lack of common major and minor thirds:
{| class="wikitable"
!Degree
!Cents
!Name
|-
|0
|0.00
|unison
|-
|1
|70.59
|minor second
|-
|2
|141.18
|neutral second
|-
|3
|211.76
|major second
|-
|4
|282.35
|minor third
|-
|5
|352.94
|neutral third
|-
|6
|423.53
|major third
|-
|7
|494.12
|fourth
|-
|8
|564.71
|small tritone
|-
|9
|635.29
|large tritone
|-
|10
|705.88
|fifth
|-
|11
|776.47
|minor sixth
|-
|12
|847.06
|neutral sixth
|-
|13
|917.65
|major sixth
|-
|14
|988.24
|harmonic seventh
|-
|15
|1058.82
|neutral seventh
|-
|16
|1129.41
|major seventh
|-
|17
|1200.00
|octave
|}
However, 27edo is noticeably different from ups-and-downs naming.
{| class="wikitable"
!Degree
!Cents
!Name
!Name (Ups and downs)
|-
|0
|0.00
|unison
|perfect unison
|-
|1
|44.44
|diesis
|'''minor 2nd'''
|-
|2
|88.89
|'''minor second'''
|upminor 2nd
|-
|3
|133.33
|neutral second
|mid 2nd
|-
|4
|177.78
|small major second
|downmajor 2nd
|-
|5
|222.22
|large major second
|major 2nd
|-
|6
|266.67
|subminor third
|'''minor 3rd'''
|-
|7
|311.11
|'''minor third'''
|upminor 3rd
|-
|8
|355.56
|neutral third
|mid 3rd
|-
|9
|400.00
|'''major third'''
|downmajor 3rd
|-
|10
|444.44
|supermajor third
|'''major 3rd'''
|-
|11
|488.89
|fourth
|perfect 4th
|-
|12
|533.33
|superfourth
|up 4th
|-
|13
|577.78
|small tritone
|mid 4th
|-
|14
|622.22
|large tritone
|mid 5th
|-
|15
|666.67
|subfifth
|down 5th
|-
|16
|711.11
|fifth
|perfect 5th
|-
|17
|755.56
|subminor sixth
|'''minor 6th'''
|-
|18
|800.00
|'''minor sixth'''
|upminor 6th
|-
|19
|844.44
|neutral sixth
|mid 6th
|-
|20
|888.89
|'''major sixth'''
|downmajor 6th
|-
|21
|933.33
|supermajor sixth
|'''major 6th'''
|-
|22
|977.78
|harmonic seventh
|minor 7th
|-
|23
|1022.22
|large minor seventh
|upminor 7th
|-
|24
|1066.67
|neutral seventh
|mid 7th
|-
|25
|1111.11
|'''major seventh'''
|downmajor 7th
|-
|26
|1155.56
|supermajor seventh
|'''major 7th'''
|-
|27
|1200.00
|octave
|8ve
|}
The notation works in tunings without a diatonic scale:
{| class="wikitable"
!Degree
!Cents
!Name
|-
|0
|0
|unison
|-
|1
|75
|minor second
|-
|2
|150
|neutral second
|-
|3
|225
|major second
|-
|4
|300
|minor third
|-
|5
|375
|major third
|-
|6
|450
|semisixth
|-
|7
|525
|fourth
|-
|8
|600
|tritone
|-
|9
|675
|fifth
|-
|10
|750
|semitenth
|-
|11
|825
|minor sixth
|-
|12
|900
|major sixth
|-
|13
|975
|harmonic seventh
|-
|14
|1050
|neutral seventh
|-
|15
|1125
|major seventh
|-
|16
|1200
|octave
|}
And in tunings where the diatonic scale is degenerate:
{| class="wikitable"
!Degree
!Cents
!Name
|-
|0
|0
|unison
|-
|1
|80
|minor second
|-
|2
|160
|neutral second
|-
|3
|240
|major second
|-
|4
|320
|minor third
|-
|5
|400
|major third
|-
|6
|480
|fourth
|-
|7
|560
|small tritone
|-
|8
|640
|large tritone
|-
|9
|720
|fifth
|-
|10
|800
|minor sixth
|-
|11
|880
|major sixth
|-
|12
|960
|harmonic seventh
|-
|13
|1040
|neutral seventh
|-
|14
|1120
|major seventh
|-
|15
|1200
|octave
|}
Here is an example for 13edo:
{| class="wikitable"
!Degree
!Cents
!Name
|-
|0
|0.00
|unison
|-
|1
|92.31
|minor second
|-
|2
|184.62
|major second
|-
|3
|276.92
|minor third
|-
|4
|369.23
|major third
|-
|5
|461.54
|fourth
|-
|6
|553.85
|small tritone
|-
|7
|646.15
|large tritone
|-
|8
|738.46
|fifth
|-
|9
|830.77
|minor sixth
|-
|10
|923.08
|major sixth
|-
|11
|1015.38
|minor seventh
|-
|12
|1107.69
|major seventh
|-
|13
|1200.00
|octave
|}
This major third is extremely flat, however it still falls into the submajor range, so it is still reasonable to call it major.
[[Category:Interval naming]]
[[Category:Interval naming]]
Retrieved from "https://en.xen.wiki/w/User:VectorGraphics/Walker_brightness_notation"