Talk:Neutral interval

Move neutral second and neutral seventh to new articles

I propose to move the neutral second and neutral seventh sections to new articles in the same way as the neutral third and neutral sixth. --kupirijo (talk) 07:37, 19 September 2019 (UTC)

List of steps of 17-, 24-, and 31-EDO intervals

Just like what I mentioned here, the system of neutral intervals works for $7\operatorname {round} (n\log _{2}{\frac {3}{2}})-4n=2$, or $n=3,10,17,24,31,38,45,52$.

Rank of intervals

Degree	Diminished	Subminor	Minor	Perfect/Neutral	Major	Supermajor	Augmented
Unison/Octave	-7	-10.5	-3.5	0	3.5	10.5	7
Second	-12	-8.5	-5	-1.5	2	5.5	9
Third	-10	-6.5	-3	0.5	4	7.5	11
Fourth	-8	-11.5	-4.5	-1	2.5	9.5	6
Fifth	-6	-9.5	-2.5	1	4.5	11.5	8
Sixth	-11	-7.5	-4	-0.5	3	6.5	10
Seventh	-9	-5.5	-2	1.5	5	8.5	12

Major intervals are always 1 step wider than perfect/neutral intervals, while minor intervals are always 1 step narrower than perfect/neutral intervals.

Supermajor intervals are always 5 steps wider than diminished intervals, while subminor intervals are always 5 steps narrower than augmented intervals.

17-EDO interval steps

Degree	Diminished	Subminor	Minor	Perfect/Neutral	Major	Supermajor	Augmented
Unison				0 (D)	1 (D+)	3 (D+#)	2 (D#)
Second	-1 (Ebb)	0 (Edb)	1 (Eb)	2 (Ed)	3 (E)	4 (E+)	5 (E#)
Third	2 (Fb)	3 (Fd)	4 (F)	5 (F+)	6 (F#)	7 (F+#)	8 (Fx)
Fourth	5 (Gb)	4 (Gdb)	6 (Gd)	7 (G)	8 (G+)	10 (G+#)	9 (G#)
Fifth	8 (Ab)	7 (Adb)	9 (Ad)	10 (A)	11 (A+)	13 (A+#)	12 (A#)
Sixth	9 (Bbb)	10 (Bdb)	11 (Bb)	12 (Bd)	13 (B)	14 (B+)	15 (B#)
Seventh	12 (Cb)	13 (Cd)	14 (C)	15 (C+)	16 (C#)	17 (C+#)	18 (Cx)
Octave	15 (Db)	14 (Ddb)	16 (Dd)	17 (D)

24-EDO interval steps

Degree	Diminished	Subminor	Minor	Perfect/Neutral	Major	Supermajor	Augmented
Unison				0 (D)	1 (D+)	3 (D+#)	2 (D#)
Second	0 (Ebb)	1 (Edb)	2 (Eb)	3 (Ed)	4 (E)	5 (E+)	6 (E#)
Third	4 (Fb)	5 (Fd)	6 (F)	7 (F+)	8 (F#)	9 (F+#)	10 (Fx)
Fourth	8 (Gb)	7 (Gdb)	9 (Gd)	10 (G)	11 (G+)	13 (G+#)	12 (G#)
Fifth	12 (Ab)	11 (Adb)	13 (Ad)	14 (A)	15 (A+)	17 (A+#)	16 (A#)
Sixth	14 (Bbb)	15 (Bdb)	16 (Bb)	17 (Bd)	18 (B)	19 (B+)	20 (B#)
Seventh	18 (Cb)	19 (Cd)	20 (C)	21 (C+)	22 (C#)	23 (C+#)	24 (Cx)
Octave	22 (Db)	21 (Ddb)	23 (Dd)	24 (D)

31-EDO interval steps

Degree	Diminished	Subminor	Minor	Perfect/Neutral	Major	Supermajor	Augmented
Unison				0 (D)	1 (D+)	3 (D+#)	2 (D#)
Second	1 (Ebb)	2 (Edb)	3 (Eb)	4 (Ed)	5 (E)	6 (E+)	7 (E#)
Third	6 (Fb)	7 (Fd)	8 (F)	9 (F+)	10 (F#)	11 (F+#)	12 (Fx)
Fourth	11 (Gb)	10 (Gdb)	12 (Gd)	13 (G)	14 (G+)	16 (G+#)	15 (G#)
Fifth	16 (Ab)	15 (Adb)	17 (Ad)	18 (A)	19 (A+)	21 (A+#)	20 (A#)
Sixth	19 (Bbb)	20 (Bdb)	21 (Bb)	22 (Bd)	23 (B)	24 (B+)	25 (B#)
Seventh	24 (Cb)	25 (Cd)	26 (C)	27 (C+)	28 (C#)	29 (C+#)	30 (Cx)
Octave	29 (Db)	28 (Ddb)	30 (Dd)	31 (D)

129.104.241.53 (talk) 03:30, 12 December 2024 (UTC)