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)
	Absolute Minimum	Minimum	Median	Maximum	Intense Phrygian			Intense Phrygian-Soft Aeolian			Soft Aeolian			Minimum	Median	Maximum
					Minimum	Median	Maximum	Minimum	Median	Maximum	Minimum	Median	Maximum
1	150	158.571	160	165		165.7895	166.667		167.647	168.75		170	171.429		175	180
2	300	317.143	320	330		331.579	333.333		335.294	337.5		340	342.857		350	360
3	450	475.714	480	495		497.368	500		502.941	506.25		510	514.286		525	540
4	600	634.286	640	660		663.158	666.667		670.588	675		680	685.714		700	720
5	750	792.857	800	825		828.947	833.333		838.235	843.75		850	857.143		875	900
6	900	951.429	960	990		994.737	1000		1005.882	1012.5		1020	1028.571		1050	1080
7	1050	1110	1120	1155		1160.526	1166.667		1173.529	1081.25		1190	1200		1225	1260

Most harmonic tunings

Degrees	Phrygian Mode (natural minor)	Phrygian-Aeolian Mode (intermediate minor)	Aeolian Mode (melodic/harmonic minor)
	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±13¢	Min-Max±13¢	Med-Max±13¢
1	157.246-160.496	157.911-161.161	159.834-163.084
2	314.491-320.991	315.822-322.322	319.668-326.168
3	471.737-481.487	473.734-483.484	479.502-489.252
4	628.982-641.982	631.645-644.645	639.335-652.336
5	786.227-802.478	789.556-805.806	799.17-815.42
6	943.4735-962.9735	947.467-966.967	959.003-978.504
7	1100.719-1123.469	1105.379-1128.129	1118.838-1141.588

Phrygian-Aeolian Mode (intermediate minor)

Degrees	Intense Phrygian		Intense Phrygian-Soft Aeolian		Soft Aeolian
	Min-Med/Min-Max±13¢	Med-Max±13¢	Min-Med/Min-Max±13¢	Med-Max±13¢	Min-Med/Min-Max±13¢	Med-Max±13¢
1	163.971-167.221	164.363-167.613	165.78-169.03	166.271-169.521	168.065-171.315	168.695-171.945
2	327.941-334.441	328.726-335.226	331.561-338.061	332.541-339.041	336.13-345.63	337.39-343.895
3	491.912-501.662	493.089-502.839	497.341-507.091	498.812-508.562	504.195-513.945	506.084-515.834
4	655.883-668.883	657.4525-670.4525	663.121-676.121	665.082-678.082	672.2605-685.2605	674.779-687.779
5	819.8535-836.1035	821.816-838.065	828.902-845.152	831.353-847.603	840.362-856.567	843.474-859.724
6	983.824-1003.324	986.178-1005.678	994.682-1014.182	997.623-1017.123	1108.391-1027.891.	1012.169-1031.669
7	1147.795-1170.545	1150.542-1173.292	1160.4625-1183.2125	1163.894-1186.644	1176.456-1199.206	1180.8635-1203.6135

Aeolian Mode (melodic/harmonic minor)

Degrees	Min-Med±13¢	Min-Max±13¢	Med-Max±13¢
1	171.04-174.29	172.429-175.679	175.075-178.325
2	342.081-348.581	344.857-351.357	350.1495-356.3495
3	513.121-522.871	517.286-527.036	525.224-536.974
4	684.661-697.161	689.7145-702.7145	700.299-713.299
5	855.202-871.452	862.143-878.393	875.374-891.624
6	1026.242-1045.742	1028.572-1054.072	1050.448-1069.948
7	1197.282-1220.032	1207-1229.75	1225.523-1248.273