User:Lhearne/Extra-Diatonic Intervals: Difference between revisions

Added section of 28edo
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=== Neutrals ===
=== Neutrals ===
N2, N3, N6 and N7, i.e. neutral 2nds, 3rds, 6ths and 7ths, falling exactly in-between the major and minor intervals of the same interval class, add native support for neutral-thirds and whitewood temperaments, where the N3 divides the P5 in exact halves.
N2, N3, N6 and N7, i.e. neutral 2nds, 3rds, 6ths and 7ths, falling exactly in-between the major and minor intervals of the same interval class, add native support for neutral-thirds and whitewood temperaments, where the N3 divides the P5 in exact halves and N2 divides the m3 is exact halves. In ups and downs neutrals indicated with '~' and said 'mid'.


Then Neutral[7] 3|3 can then be written:
Then Neutral[7] 3|3 can then be written:
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P1 N1 N2 M2 m3 N3 M3 P4 N4 N5 P5 m6 N6 M6 m7 N7 N8 P8,  
P1 N1 N2 M2 m3 N3 M3 P4 N4 N5 P5 m6 N6 M6 m7 N7 N8 P8,  


which is almost equivalent to the primary interval names of 17edo,
which is equivalent to the primary interval names of 17edo.
 
P1 m2 N2 M2 m3 N3 M3 P4 N4 N5 P5 m6 N6 M6 m7 N7 M7 P8,
 
consisting of the neutrals, perfects, majors and minors.


=== Intermediates ===
=== Intermediates ===
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16edo: P1 1-2 M2 m2 M3 m3 3-4 P4 4-5 P5 5-6 M6 m6 M7 m7 7-8 P8
16edo: P1 1-2 M2 m2 M3 m3 3-4 P4 4-5 P5 5-6 M6 m6 M7 m7 7-8 P8


17edo: P1 m2 N2 M2 m3 N3 M3 P4 N4 N5 P5 m6 N6 M6 m7 N7 M7 P8
17edo: P1 N1 N2 M2 m3 N3 M3 P4 N4 N5 P5 m6 N6 M6 m7 N7 N8 P8


19edo: P1 1-2 m2 M2 2-3 m3 M3 3-4 P4 A4 d5 P5 5-6 m6 M6 6-7 m7 M7 7-8 P8
19edo: P1 1-2 m2 M2 2-3 m3 M3 3-4 P4 A4 d5 P5 5-6 m6 M6 6-7 m7 M7 7-8 P8