Fractional sharp notation: Difference between revisions

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The sharp and flat accidentals are always taken to raise and lower by an augmented union. In a given EDO system, the step size is 1 over the [[sharpness]] of a sharp. In interval naming:  
The sharp and flat accidentals are always taken to raise and lower by an augmented union. In a given EDO system, the step size is 1 over the [[sharpness]] of a sharp. In interval naming:  
* x-minor represents x of the way from major to minor (0-minor is major and 1-minor is major, x below 1/2 is replaced by (1-x)-minor).
* x-major represents x of the way from minor to major (1/2-major is the same as "neutral" essentially).
* x-major represents x of the way from minor to major (0-major is minor and 1-major is major, x below 1/2 is replaced by (1-x)-major).
* 1/2-minor and 1/2-major are identical so are called by the more conventional "neutral".
* x-augmented represents x of the way from perfect/major to augmented.
* x-augmented represents x of the way from perfect/major to augmented.
* x-diminished represents x of the way from perfect/minor to diminished.
* x-diminished represents x of the way from perfect/minor to diminished.
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| 2
| 2
| 109.091
| 109.091
| 2/3-minor 2nd
| 1/3-major 2nd
| 2/3-m2
| 1/3-M2
| Eb<sup>2/3</sup>
| Eb<sup>2/3</sup>
|-
|-
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| 6
| 6
| 327.273
| 327.273
| 2/3-minor 3rd
| 1/3-major 3rd
| 2/3-m3
| 1/3-M3
| F#<sup>1/3</sup>
| F#<sup>1/3</sup>
|-
|-
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| 15
| 15
| 818.182
| 818.182
| 2/3-minor 6th
| 1/3-major 6th
| 2/3-m6
| 1/3-M6
| Bb<sup>2/3</sup>
| Bb<sup>2/3</sup>
|-
|-
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| 19
| 19
| 1036.364
| 1036.364
| 2/3-minor 7th
| 1/3-major 7th
| 2/3-m7
| 1/3-M7
| C#<sup>1/3</sup>
| C#<sup>1/3</sup>
|-
|-