User:Moremajorthanmajor/8edIX

This Long Common Practice minor mode is the neutral scale of the Napoli temperament family.

Intervals

Degrees	Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)				Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)			Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
Degrees	Absolute Minimum	Minimum	Median	Maximum	Minimum	Median	Maximum	Minimum	Median	Maximum
1	150	158.571	160	165		167.647	171.429		175	180
2	300	317.143	320	330		335.294	342.857		350	360
3	450	475.714	480	495		502.941	514.286		525	540
4	600	634.286	640	660		670.588	685.714		700	720
5	750	792.857	800	825		838.235	857.143		875	900
6	900	951.429	960	990		1005.882	1028.571		1050	1080
7	1050	1110	1120	1155		1173.529	1200		1225	1260

Most harmonic tunings

Degrees	Phrygian Mode (natural minor)	Phrygian-Aeolian Mode (intermediate minor)	Aeolian Mode (melodic/harmonic minor)
Degrees	15/7±13¢	11/5±13¢	9/4±13¢
1	163.305-166.555	169.0005-172.2505	173.864-177.114
2	326.611-333.111	338.001-344.501	347.7275-354.2275
3	489.916-499.666	507.002-516.752	521.591-531.341
4	653.221-666.221	676.002-689.002	695.455-708.455
5	816.527-832.777	845.003-861.253	869.319-885.569
6	979.832-999.332	1014.003-1033.503	1043.1825-1062.6825
7	1143.1375-1165.8875	1183.004-1205.754	1217.046-1239.796

Golden Tunings

Phrygian Mode (natural minor)

Degrees	Min-Med-13c	Min-Max-13c	Min-Med	Min-Med	Med-Max-13c	Min-Med+13c	Min-Max+13c	Med-Max	Med-Max+13c
1	157.246	157.911	158.871	159.536	159.834	160.496	161.161	161.469	163.084
2	314.491	315.822	317.741	319.0725	319.668	320.991	322.322	322.938	326.168
3	471.737	473.734	476.612	478.609	479.502	481.487	483.484	484.407	489.252
4	628.982	631.645	635.482	638.145	639.335	641.982	644.645	645.876	652.336
5	786.227	789.556	794.353	797.681	799.17	802.478	805.806	807.345	815.42
6	943.4735	947.467	953.2235	957.317	959.003	962.9735	966.967	968.814	978.504
7	1100.719	1105.379	1112.094	1116.754	1118.838	1123.469	1128.129	1130.263	1141.588

Phrygian-Aeolian Mode (intermediate minor)

Degrees	Min-Med/Min-Max-13c	Med-Max-13c	Min-Med/Min-Max	Med-Max	Min-Med/Min-Max+13c	Med-Max+13c	Min-Med-13c (Aeolian)
1	165.316	166.789	166.941	168.414	168.566	170.039	171.04
2	330.633	333.578	333.883	336.828	337.133	340.078	342.081
3	495.949	500.3675	500.824	505.2425	505.699	510.1175	513.121
4	661.265	667.157	667.765	673.658	674.265	680.157	684.161
5	826.5815	833.946	834.7065	842.071	842.8315	850.196	855.202
6	991.898	1000.735	1000.648	1010.485	1011.398	1020.235	1026.242
7	1157.241	1167.524	1168.589	1178.899	1179.964	1190.274	1197.282

Aeolian Mode (melodic/harmonic minor)

Degrees	Min-Med-13c	Min-Med	Min-Max	Min-Med+13c	Med-Max-13c	Min-Max+13c	Med-Max	Med-Max+13c
1	172.429	172.665	174.054	174.29	175.075	175.679	176.7	178.325
2	344.857	345.331	348.107	348.581	350.1495	351.357	353.3995	356.3495
3	517.286	517.996	522.161	522.871	525.224	527.036	530.099	536.974
4	689.7145	690.661	696.2145	697.161	700.299	702.7145	706.799	713.299
5	862.143	863.367	870.268	871.452	875.374	878.393	883.499	891.624
6	1034.572	1035.992	1044.321	1045.742	1050.448	1054.072	1060.198	1069.498
7	1207	1208.657	1218.375	1220.032	1225.523	1229.75	1236.898	1248.273