User:Moremajorthanmajor/13edIX

This scale, a Long Common Practice minor mode, occurs in 12edo; where it is the equal division of the minor ninth. It has the Grandfather 5L 3s MOS with a 2:1 ratio of large against small.

Intervals

Degrees	Octatonic	Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)			Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)		Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
		Absolute Minimum	Minimum	Maximum	Minimum	Maximum	Minimum	Maximum
1	F#/Gb	92.308	96	101.5385		105.4945		110.769
2	G	184.615	192	203.077		210.989		221.5385
3	G#/Ab	276.923	288	304.615		316.4835		332.308
4	A	369.231	384	406.154		421.978		443.076
5	B	461.5385	480	507.692		527.4725		553.846
6	B#/Hb	553.846	576	609.231		632.967		664.615
7	H	646.154	672	710.769		738.4615		775.385
8	C	738.4615	768	812.308		843.856		886.154
9	C#/Db	830.769	864	913.846		949.4505		996.923
10	D	923.077	960	1015.385		1054.945		1107.692
11	D#/Eb	1015.385	1056	1116.923		1160.44		1218.4615
12	E	1107.692	1152	1218.4615		1265.9348		1329.231
13	F	1200	1248	1320		1371.429		1440

Golden Tunings

Degrees	Octatonic	Phrygian Mode (natural minor)	Phrygian-Aeolian Mode (intermediate minor)	Aeolian Mode (melodic/harmonic minor)
1	F#/Gb	97.098	102.733	107.11
2	G	194.196	205.466	214.22
3	G#/Ab	291.293	308.199	321.33
4	A	388.391	410.932	428.44
5	B	485.489	513.6655	535.55
6	B#/Hb	582.587	616.399	642.6595
7	H	679.685	719.132	749.769
8	C	776.782	821.865	856.879
9	C#/Db	873.880	924.598	963.989
10	D	970.978	1027.331	1071.099
11	D#/Eb	1068.076	1130.064	1178.209
12	E	1165.1735	1232.797	1285.319
13	F	1262.271	1335.53	1392.429