User:PiotrGrochowski/Extra-Diatonic Intervals: Difference between revisions
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The base intervals come from the circle of fifths from -7 to 7 fifths: diminished octave, diminished fifth, minor second, minor sixth, minor third, minor seventh, fourth, unison, fifth, major second, major sixth, major third, major seventh, augmented fourth a d augmented unison. This is unlike Igliashon's [[Extra-Diatonic Intervals]], which only uses -5 to +5 fifths. The reasoning for the expanded range is that a chromatic scale is made of 6 augmented fourths and 6 diminished fifths, as well as 7 minor seconds and 5 augmented unisons. In the other hand, the diminished fourth at -8 fifths is considered a wolf major third in [[5-limit]], and a septimal major third in [[7-limit]], so this system names it a high major third instead. | The base intervals come from the circle of fifths from -7 to 7 fifths: diminished octave, diminished fifth, minor second, minor sixth, minor third, minor seventh, fourth, unison, fifth, major second, major sixth, major third, major seventh, augmented fourth a d augmented unison. This is unlike Igliashon's [[Extra-Diatonic Intervals]], which only uses -5 to +5 fifths. The reasoning for the expanded range is that a chromatic scale is made of 6 augmented fourths and 6 diminished fifths, as well as 7 minor seconds and 5 augmented unisons. In the other hand, the diminished fourth at -8 fifths is considered a wolf major third in [[5-limit]], and a septimal major third in [[7-limit]], so this system names it a high major third instead. | ||
This project can be used for converting intervals of an entire edo to interval names | This project can be used for converting intervals of an entire edo to interval names in this system: https://scratch.mit.edu/projects/250811968/ | ||
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