User:Moremajorthanmajor/14edIX

This scale, a Long Common Practice minor mode,occurs in 12edo, where it is the equal division of the major ninth. It has the Macroshrutis 6L 2s MOS with a 2:1 ratio of large against small.

Tuning spectrum

Degrees	Octatonic	Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
		Absolute Minimum	3ed(7/6)	Minimum	Golden	Median	Mean	<0 -11 0 11|/24	5ed(21/16)	ed(15/7)	Maximum
1	F#/Gb	85.714	88.957	89.143	90.162	90.612	91.714	92.286	94.156	94.246	94.286
2	G	171.429	177.914	178.286	180.3245	181.2245	183.429	184.5715	188.312	188.492	188.571
3	G#/Ab	257.143	266.871	267.429	270.487	271.837	275.143	276.857	282.469	282.738	282.857
4	A	342.857	355.828	356.571	360.649	362.449	366.857	369.143	376.625	376.984	377.143
5	A#/Bb	428.571	444.785	445.714	450.811	453.061	458.571	461.429	470.781	471.23	471.429
6	B	514.286	533.742	534.857	540.973	543.6735	550.286	553.714	564.937	565.4755	565.714
7	H	600	622.698	624	631.136	634.286	642	646	659.093	659.721	660
8	H#/Cb	685.714	711.656	713.143	721.298	724.898	733.714	738.286	753.2495	753.967	754.286
9	C	771.429	800.612	802.286	811.46	815.51	825.429	830.572	847.406	848.213	848.571
10	C#/Db	857.143	889.57	891.429	901.622	906.122	917.143	922.857	941.562	942.459	942.857
11	D	942.857	978.527	980.571	991.785	996.735	1008.857	1015.143	1035.718	1036.705	1037.143
12	D#/Eb	1028.571	1067.484	1069.714	1081.947	1087.247	1100.571	1107.429	1129.874	1130.951	1131.429
13	E	1114.286	1156.441	1158.857	1172.109	1177.959	1192.286	1199.7145	1224.03	1225.197	1225.714
14	F	1200	1245.397	1248	1262.271	1268.571	1284	1292	1318.1865	1319.443	1320

Degrees	Octatonic	Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
		Minimum	ed(28/13)	Golden	ed(13/6)	8ed(14/9)	Mean	3ed(13/11)	ed(24/11)	4ed(5/4)	10ed(7/4)	<… -3 0 8|/48	Median	7ed(40/27)	<-18 -4 13|\72	ed(11/5)	8ed(11/7)	Maximum
1	F#/Gb	94.286	94.878	95.395	95.612	95.6145	96.122	96.403	96.474	96.578	96.883	97.107	97.143	97.207	97.42	97.5	97.8115	97.959
2	G	188.571	189.757	190.79	191.225	191.229	192.245	192.8065	192.948	193.157	193.765	194.213	194.286	194.414	194.8405	195.001	195.623	195.918
3	G#/Ab	282.857	284.635	286.185	286.837	286.843	288.367	289.21	289.422	289.735	290.648	291.322	291.429	291.621	292.261	292.501	293.4345	293.878
4	A	377.143	379.512	381.58	382.449	382.458	384.488	385.613	385.896	386.314	387.53	388.429	388.571	338.828	389.681	390.001	391.246	391.836
5	A#/Bb	471.429	474.392	476.975	478.062	478.072	480.612	482.016	482.37	482.892	484.413	485.537	485.714	486.035	487.101	487.5015	489.0575	489.796
6	B	565.714	569.271	572.37	573.674	573.687	576.735	875.419	578.8445	579.471	581.2955	582.644	582.857	583.242	584.5215	585.002	586.869	587.755
7	H	660	664.149	667.765	669.286	669.301	672.857	674.823	975.3185	676.049	678.178	679.752	680	680.448	681.942	682.002	684.6805	685.714
8	H#/Cb	754.286	759.028	763.16	764.899	764.916	768.98	771.226	771.793	772.627	775.06	776.859	777.143	777.656	779.362	780.002	782.492	783.6735
9	C	848.571	853.906	858.555	860.511	860.53	865.102	867.629	868.267	869.206	871.943	873.966	874.286	874.862	876.782	877.503	880.3035	881.633
10	C#/Db	942.857	948.7845	953.95	956.123	956.145	961.2245	964.032	964.741	965.784	968.826	971.073	971.429	972.07	974.2025	975.003	978.115	979.592
11	D	1037.143	1043.663	1049.345	1051.736	1051.759	1057.347	1060.436	1061.215	1062.363	1065.7085	1068.181	1068.579	1069.277	1071.623	1072.503	1075.9265	1077.551
12	D#/Eb	1131.429	1138.541	1144.74	1147.348	1147.374	1153.469	1156.839	1157.689	1158.941	1162.591	1165.2885	1165.714	1166.4835	1169.043	1170.004	1173.738	1175.51
13	E	1225.714	1233.42	1240.435	1242.96	1242.988	1249.592	1253.242	1254.163	1255.52	1259.474	1262.396	1262.857	1263.6905	1266.463	1267.504	1271.55	1273.469
14	F	1320	1328.298	1335.53	1338.573	1338.603	1345.714	1349.645	1350.637	1352.089	1356.356	1359.503	1360	1360.897	1363.884	1365.004	1369.361	1371.429

Degrees	Octatonic	Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
		Minimum	9ed(5/3)	ed(20/9)	Golden	28ed5	5ed(4/3)	Median	7edf	56ed(180/7)	Mean	28ed(36/7)	8ed(8/5)	10ed(9/5)	2ed(9/8)	9ed(17/10)	ed(16/7)	Maximum
1	F#/Gb	97.959	98.262	98.743	99.459	99.511	99.609	100	100.279	100.382	100.408	101.253	101.711	101.76	101.955	102.071	102.227	102.857
2	G	195.918	196.524	197.486	198.918	199.022	199.218	200	200.559	200.764	200.816	202.506	203.422	203.519	203.91	204.143	204.453	205.714
3	G#/Ab	293.878	294.786	286.229	298.377	298.534	298.827	300	300.837	301.146	301.2245	303.759	305.132	305.279	305.865	306.214	306.68	308.571
4	A	391.836	393.048	394.9725	397.839	398.045	398.436	400	401.117	401.528	401.633	405.012	406.843	407.0385	407.82	408.285	408.907	411.429
5	A#/Bb	489.796	491.31	493.716	497.296	497.556	498.045	500	501.396	501.9105	502.041	506.265	508.554	508.798	509.775	510.3565	511.134	514.286
6	B	587.755	589.5725	592.459	597.755	597.067	597.654	600	601.676	602.293	602.449	607.518	610.265	610.558	611.73	612.428	613.36	617.143
7	H	685.714	687.835	691.202	696.2145	696.578	697.263	700	701.955	702.675	702.857	708.771	711.976	712.317	713.685	714.499	715.587	720
8	H#/Cb	783.6735	786.097	789.945	795.674	796.099	796.872	800	802.234	803.057	803.265	810.024	813.686	814.077	815.64	816.57	817.814	822.857
9	C	881.633	884.359	888.688	895.133	895.301	896.481	900	902.514	903.439	903.6735	911.277	915.397	915.837	917.595	918.462	920.041	925.714
10	C#/Db	979.592	982.621	987.431	994.592	995.112	996.09	1000	1002.793	1003.821	1004.4082	1012.53	1017.108	1017.596	1019.55	1020.712	1022.267	1028.571
11	D	1077.551	1080.882	1086.174	1094..051	1094.623	1095.699	1100	1103.072	1104.203	1104.49	1113.783	1118.819	1119.356	1121.505	1122.784	1124.494	1131.429
12	D#/Eb	1175.51	1179.145	1184.9175	1193.5105	1194.134	1195.308	1200	1203.3514	1204.585	1204.898	1215.036	1220.529	1221.1155	1223.46	1224.856	1226.721	1234.286
13	E	1273.469	1277.407	1283.661	1292.97	1293.646	1294.916	1300	1303.631	1304.967	1305.306	1316.289	1322.24	1322.875	1325.415	1326.927	1238.947	1337.143
14	F	1371.429	1375.669	1382.403	1392.429	1393.157	1394.526	1400	1403.91	1405.3495	1405.714	1417.524	1423.951	1424.635	1427.37	1428.998	1431.174	1440