Kite Guitar Scales: Difference between revisions

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[[MOS scale|MOS (moment of symmetry) scales]] have only two step sizes, with the less frequent steps evenly distributed throughout the scale. MOS scales are an important part of microtonal scale theory. But almost every 41-edo MOS scale with a perfect 5th is awkward. The only exception is scales from the [[Magic|Laquinyo]] temperament, which have a small step of only one fret. They have either a very lopsided L/s ratio or more than 12 notes. They are discussed further in the Nineteen-tone section.

Every scale can be thought of as a chord, e.g. the 12edo major pentatonic scale is a 6add9 pentad. Many pentads and heptads have an [[Essential tempering commas|innate comma]] which 41edo does not temper out. Thus many Kite Guitar scales have '''dual''' notes, meaning a note may vary by 1 edostep, in order to avoid a wolf 5th. In the tables below, a note that may be either a M2 or a vM2 is indicated by (v)M2. ~~A scale with a dual note or two is called a '''fluid''' scale.~~ In general, majorish scales have a dual 2nd and minorish scales have a dual 4th. But ~~it depends on the chord progression~~. For example, Iv - IVv - Vv7 - Iv requires a ~~major~~ scale with a dual 4th. Step sizes can also be dual, leading to near-MOS scales (see below).

Every scale can be thought of as a chord, e.g. the 12edo major pentatonic scale is a 6add9 pentad. Many pentads and heptads have an [[Essential tempering commas|innate comma]] which 41edo does not temper out. Thus many Kite Guitar scales have '''dual''' notes, meaning a note may vary by 1 edostep, in order to avoid a wolf 5th. A scale with a dual note or two is called a '''fluid''' scale. In the tables below, a note that may be either a M2 or a vM2 is indicated by (v)M2.

In general, majorish scales have a dual 2nd and minorish scales have a dual 4th. But other notes can be dual as well. For example, Iv - IVv - Vv7 - Iv requires a downmajor scale with a dual 4th. And if the V chord is Vv9, the 6th must also be dual.

What is the default form of a fluid scale? In other words, if asked to play a downmajor scale, what notes would you play? Dual notes written as (v)M2 or (v)4 default to plain. But (◇)vM6 written with a plain sign defaults to downed.

Step sizes can also be dual, leading to near-MOS scales (see below).

== The Format ==

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=== Harmonic and subharmonic scales ===

Note that the ~~harmonic~~ ''major'' scale contains a down''minor'' 7th, and the ~~harmonic~~ ''minor'' scale contains a down''major'' 6th. Likewise with the subharmajor and subharminor scales. A ~~harmonic diminished~~ pentatonic scale would be P1 ^m3 d5 ^m6 ^m7 P8 = 5:6:7:8:9. But it's not very plausible, and would be heard as one of the other modes.

These scales are named after the triad implied by the 3rd and 5th, minus the up or down. Note that the har''major'' scale contains a down''minor'' 7th, and the har''minor'' scale contains a down''major'' 6th. Likewise with the subharmajor and subharminor scales. A hardim pentatonic scale would be P1 ^m3 d5 ^m6 ^m7 P8 = 5:6:7:8:9. But it's not very plausible, and would be heard as one of the other modes.

{| class="wikitable left-9 center-all"

|+

!subgroup

!name

~~!nickname~~

! colspan="6" |scale

!as a chord

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! rowspan="2" |yaza

(2.3.5.7)

~~!harmonic major~~

!harmajor

|P1

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| rowspan="2" |1XL 1L 1m 1s 1xs

|-

~~!harmonic minor~~

!harminor

|P1

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|-

! rowspan="3" |"

~~!subharmonic major~~

!subharmajor

|P1

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| rowspan="3" |"

|-

~~!subharmonic minor~~

!subharminor

|P1

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|11 6 7 - 8 9

|-

~~!subharmonic diminished~~

!subhardim

|P1

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|+

!name

~~!nickname~~

! colspan="9" |scale

!as a chord

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!step sizes

|-

~~!harmonic major~~

!harmajor

|P1

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L/s = 2 or 1.75

|-

~~!harmonic minor~~

!harminor

|P1

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|54'''44'''7-665

|-

~~!subharmonic major~~

!subharmajor

|P1

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| rowspan="2" |"

|-

~~!subharmonic minor~~

!subharminor

|P1

@@ Line 12: / Line 12: @@
 [[MOS scale|MOS (moment of symmetry) scales]] have only two step sizes, with the less frequent steps evenly distributed throughout the scale. MOS scales are an important part of microtonal scale theory. But almost every 41-edo MOS scale with a perfect 5th is awkward. The only exception is scales from the [[Magic|Laquinyo]] temperament, which have a small step of only one fret. They have either a very lopsided L/s ratio or more than 12 notes. They are discussed further in the Nineteen-tone section.
-Every scale can be thought of as a chord, e.g. the 12edo major pentatonic scale is a 6add9 pentad. Many pentads and heptads have an [[Essential tempering commas|innate comma]] which 41edo does not temper out. Thus many Kite Guitar scales have '''dual''' notes, meaning a note may vary by 1 edostep, in order to avoid a wolf 5th. In the tables below, a note that may be either a M2 or a vM2 is indicated by (v)M2. A scale with a dual note or two is called a '''fluid''' scale. In general, majorish scales have a dual 2nd and minorish scales have a dual 4th. But it depends on the chord progression. For example, Iv - IVv - Vv7 - Iv requires a major scale with a dual 4th. Step sizes can also be dual, leading to near-MOS scales (see below).
+Every scale can be thought of as a chord, e.g. the 12edo major pentatonic scale is a 6add9 pentad. Many pentads and heptads have an [[Essential tempering commas|innate comma]] which 41edo does not temper out. Thus many Kite Guitar scales have '''dual''' notes, meaning a note may vary by 1 edostep, in order to avoid a wolf 5th. A scale with a dual note or two is called a '''fluid''' scale. In the tables below, a note that may be either a M2 or a vM2 is indicated by (v)M2.
+In general, majorish scales have a dual 2nd and minorish scales have a dual 4th. But other notes can be dual as well. For example, Iv - IVv - Vv7 - Iv requires a downmajor scale with a dual 4th. And if the V chord is Vv9, the 6th must also be dual.
+What is the default form of a fluid scale? In other words, if asked to play a downmajor scale, what notes would you play? Dual notes written as (v)M2 or (v)4 default to plain. But (◇)vM6 written with a plain sign defaults to downed.
+Step sizes can also be dual, leading to near-MOS scales (see below).
 == The Format ==
@@ Line 140: / Line 146: @@
 === Harmonic and subharmonic scales ===
-Note that the harmonic ''major'' scale contains a down''minor'' 7th, and the harmonic ''minor'' scale contains a down''major'' 6th. Likewise with the subharmajor and subharminor scales. A harmonic diminished pentatonic scale would be P1 ^m3 d5 ^m6 ^m7 P8 = 5:6:7:8:9. But it's not very plausible, and would be heard as one of the other modes.
+These scales are named after the triad implied by the 3rd and 5th, minus the up or down. Note that the har''major'' scale contains a down''minor'' 7th, and the har''minor'' scale contains a down''major'' 6th. Likewise with the subharmajor and subharminor scales. A hardim pentatonic scale would be P1 ^m3 d5 ^m6 ^m7 P8 = 5:6:7:8:9. But it's not very plausible, and would be heard as one of the other modes.
 {| class="wikitable left-9 center-all"
 |+
 !subgroup
 !name
-!nickname
 ! colspan="6" |scale
 !as a chord
@@ Line 154: / Line 159: @@
 ! rowspan="2" |yaza
 (2.3.5.7)
-!harmonic major
 !harmajor
 |P1
@@ Line 168: / Line 172: @@
 | rowspan="2" |1XL 1L 1m 1s 1xs
 |-
-!harmonic minor
 !harminor
 |P1
@@ Line 180: / Line 183: @@
 |-
 ! rowspan="3" |"
-!subharmonic major
 !subharmajor
 |P1
@@ Line 193: / Line 195: @@
 | rowspan="3" |"
 |-
-!subharmonic minor
 !subharminor
 |P1
@@ Line 204: / Line 205: @@
 |11 6 7 - 8 9
 |-
-!subharmonic diminished
 !subhardim
 |P1
@@ Line 412: / Line 412: @@
 |+
 !name
-!nickname
 ! colspan="9" |scale
 !as a chord
@@ Line 418: / Line 417: @@
 !step sizes
 |-
-!harmonic major
 !harmajor
 |P1
@@ Line 434: / Line 432: @@
 L/s = 2 or 1.75
 |-
-!harmonic minor
 !harminor
 |P1
@@ Line 448: / Line 445: @@
 |54'''44'''7-665
 |-
-!subharmonic major
 !subharmajor
 |P1
@@ Line 463: / Line 459: @@
 | rowspan="2" |"
 |-
-!subharmonic minor
 !subharminor
 |P1