User:Moremajorthanmajor/17edIX

This scale, a Long Common Practice minor mode, has the Grandfather 3L 5s MOS with a 4:1 ratio of large against small. It also gives the wide values for the period of the Greater Chlorine temperament.

Intervals

Nonet	Period	Notes
1/1	70.588	Soft Phrygian mode begins
25\24	73.529
24\23	73.657
23\22	73.797
22\21	73.950	Soft Phrygian mode ends, Thirdtone Phrygian mode begins
21\20	74.118
20\19	74.303
19\18	74.510
37\35	74.622
18\17	74.740
17\16	75.000
16\15	75.294	Thirdtone Phrygian mode ends
15\14	75.630	Semitone Phrygian mode begins
14\13	76.018
27\25	76.235
13\12	76.471
12\11	77.005
11\10	77.647	Semitone Phrygian mode ends, Intense Phrygian mode begins
21\19	78.019
10\9	78.431	Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
19\17	78.893
9\8	79.412	Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
17\15	80.000
8\7	80.672	Soft Aeolian mode ends, Flattone Aeolian mode begins
15\13	81.448
22\19	81.734	Flattone Aeolian mode ends, Meantone Aeolian mode begins
29\25	81.882
7\6	82.353	Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
20\17	83.045
13\11	83.422	Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
19\16	83.824
6\5	84.706	Ultrapyth Intense Aeolian mode ends

Golden/Pyrite Tunings±13¢

Degrees	Octatonic		Soft Phrygian		Phrygian
			Min-Med	Min-Max/Med-Max	Thirdtone		Semitone
					Min-Med/Min-Max	Med-Max	Min-Med/Min-Max	Med-Max
1	A	Ab	72.944-74.474	73.089-74.618	73.379-75.205	74.012-75.586	75.216-77.013	75.75-77.635
2	B\\	G#v/Ab^	145.889-148.948	146.178-149.236	146.758-150.409	148.023-151.173	150.432-154.025	151.501-155.2705
3	Apv/B\\^	G#	218.833-223.4215	219.266-223.855	220.137-225.614	222.035-226.759	225.648-230.037	227.251-232.906
4	Ap	A	291.778-297.895	292.355-298.473	293.5155-300.819	296.047-302.346	300.864-308.050	303.002-301.541
5	B		364.722-372.369	365.444-373.091	366.894-376.0235	370.059-377.932	376.08-385.063	378.752-388.176
6	C		437.6665-446.843	438.533-447.709	440.273-451.228	444.070-453.519	451.296-462.075	454.5025-465.811
7	Q	Qb	510.611-521.317	511.621-522.327	513.652-526.433	518.082-529.105	526.512-539.088	530.253-543.447
8	D\\	C#v/Qb^	583.555-595.791	584.71-596.9455	587.031-601.638	592.094-604.6915	601.728-616.101	606.003-621.082
9	Qpv/D\\^	C#	656.5-670.264	657.799-671.564	660.41-676.842	661.1055-680.278	676.944-693.1135	681.754-698.717
10	Qp	Q	729.444-744.738	730.888-746.182	733.789-752.047	740.117-755.864	752.16-770.126	757.504-776.352
11	D		802.3885-819.212	803.9765-820.8	807.468-827.252	814.129-831.451	827.376-847.139	833.255-853.988
12	E		875.333-893.686	877.065-895.418	880.5465-902.456	888.141-907.037	902.592-924.151	909.005-931.622
13	F	Fb	948.277-968.16	950.154-970.0365	953.925-977.661	962.152-982.624	977.808-1001.164	984.755-1009.258
14	F\\	E#v/Fb^	1021.222-1042.6335	1023.243-1044.655	1027.304-1052.866	1036.164-1058.21	1053.024-1078.177	1060.506-1086.893
15	Fpv/G\\^	E#	1094.166-1117.107	1096.332-1119.273	1100.683-1128.0705	1110.176-1133.7965	1128.24-1155.189	1136.256-1164.5285
16	Fp	F	1167.111-1191.581	1169.42-1193.891	1174.062-1203.275	1184.188-1209.382	1203.456-1232.202	1212.007-1242.164
17	G		1240.055-1266.055	1242.506-1268.509	1247.441-1278.48	1258.199-1284.969	1278.672-1309.2145	1287.757-1319.799

Degrees	Octatonic				Intense Phrygian		Intense Phrygian-Soft Aeolian		Soft Aeolian
					Min-Med/Min-Max	Med-Max	Min-Med/Min-Max	Med-Max	Min-Med/Min-Max	Med-Max
1	G	Gb	A	Ab	77.163-78.692	77.347-78.877	78.014-79.544	78.245-79.774	79.0895-80.618	79.385-80.915
2	A\\	F#v/Gb^	B\\	G#v/Ab^	155.325-157.384	155.695-157.7535	156.029-159.087	156.49-159.549	158.179-161.238	158.772-161.83
3	Gpv/A\\^	F#	Apv/B\\^	G#	231.488-236.076	232.042-236.63	234.043-238.631	234.735-239.323	237.268-241.857	238.157-242.746
4	Gp	G	Ap	A	308.651-314.768	309.389-315.507	312.057-318.175	312.98-319.098	316.358-322.4755	317.543-323.661
5	A		B		385.814-393.4605	386.737-394.384	390.071-397.7185	391.225-398.872	395.447-403.094	396.929-404.576
6	B		C		462.976-472.1525	464.084-473.261	468.086-477.262	469.469-478.646	474.537-483.713	476.315-485.4913
7	H	Hb	Q	Qb	540.139-550.845	541.4315-549.423	546.1-556.806	547.715-558.421	553.627-564.332	555.7005-566.406
8	C\\	B#v/Hb^	D\\	C#v/Qb^	617.3015-629.537	618.779-631.014	624.114-636.35	625.96-638.195	632.716-644.951	635.086-647.322
9	Hpv/C\\^	B#	Qpv/D\\^	C#	694.464-708.229	696.126-709.891	702.129-715.893	704.205-717.969	711.805-725.57	714.805-728.237
10	Hp	H	Qp	Q	771.629-786.921	773.4735-788.768	780.143-795.437	782.45-797.744	790.895-806.189	793.858-809.152
11	C		D		848.79-865.613	865.821-867.644	858.157-874.981	860.695-877.518	869.984-886.808	873.243-890.067
12	D		E		925.952-944.305	928.168-946.521	936.171-954.527	938.94-957.293	949.074-967.427	952.692-970.982
13	E	Eb	F	Fb	1003.115-1022.997	1005.516-1025.398	1014.186-1034.0668	1017.185-1037.067	1028.163-1048.045	1032.015-1051.8975
14	F\\	D#v/Eb^	F\\	E#v/Fb^	1080.278-1101.689	1082.863-1104.275	1092.2-1113.612	1095.43-1116.841	1107.253-1128.664	1111.401-1132.813
15	Epv/F\\^	D#	Fpv/G\\^	E#	1157.44-1180.381	1160.21-1183.151	1170.214-1193.1555	1173.675-1196.616	1186.3425-1209.283	1190.788-1213.728
16	Ep	E	Fp	F	1234.603-1259.0735	1237.558-1262.028	1248.229-1272.699	1251.9195-1276.39	1265.4315-1289.902	1270.173-1294.643
17	F		G		1311.767-1337.767	1314.905-1340.905	1326.243-1352.243	1330.1645-1356.1645	1344.521-1370.521	1349.558-1375.558

Degrees	Octatonic		Aeolian				Intense Aeolian
			Flattone		Meantone		Superpyth		Ultrapyth
			Min-Med	Med-Max~Min-Max	Min-Med/Min-Max	Med-Max	Min-Med	Min-Max/Med-Max	Min-Med/Min-Max	Med-Max
1	G	Gb	80.49-82.019	80.772-82.6		81.178-82.707	82.156-83.686	82.388-83.9175	82.939-84.469	83.202-84.731
2	A\\	F#v/Gb^	160.979-164.038	161.544-165.199		162.356-165.416	164.127-167.31715	164.776-167.835	165.8785-168.937	166.403-169.462
3	Gpv/A\\^	F#	241.469-246.057	242.316-247.799		243.535-248.1235	246.469-251.057	247.164-251.753	248.818-253.405	249.605-254.193
4	Gp	G	321.958-328.076	323.089-330.398		324.714-330.831	328.625-334.743	329.552-335.67	331.757-337.875	332.807-338.324
5	A		402.448-410.095	403.861-412.998		405.892-413.539	410.782-418.429	411.9405-419.588	414.696-422.343	416.008-423.655
6	B		482.937-492.114	484.633-495.597		487.071-496.247	492.938-502-115	494.329-503.505	497.635-506.812	499.21-508.386
7	H	Hb	563.427-574.133	565.405-578.197		568.249-578.955	575.0945-585.8	576.717-587.423	580.575-591.2805	582.416-593.117
8	C\\	B#v/Hb^	643.917-656.152	647.177-660.797		649.4275-661.663	657.251-669.486	659.105-671.34	663.514-675.749	665.613-677.8485
9	Hpv/C\\^	B#	724.406-738.171	726.9495-743.396		730.606-744.371	739.407-753.172	741.493-755.258	746.453-760.218	748.815-762.58
10	Hp	H	804.896-820.19	807.722-825.996		811.784-827.0785	821.5635-836.858	823.881-839.175	829.392-844.686	832.0165-847.311
11	C		885.385-902.209	888.494-908.595		892.963-909.7886	903.72-920.543	906.269-923.093	912.331-929.155	915.218-932.041
12	D		965.875-984.228	969.266-991.195		974.141-992.494	985.876-1004.229	988.657-1007.01	995.271-1013.624	998.419-1016.773
13	E	Eb	1046.364-1066.247	1050.004-1073.794		1055.32-1075.202	1068.033-1087.915	1071.045-1090.928	1078.21-1098.092	1081.6215-1101.504-
14	F\\	D#v/Eb^	1126.854-1148.266	1130.81-1156.394		1136.498-1157.91	1150.189-1171.601	1153.4335-1174.845	1161.149-1182.561	1164.823-1186.235
15	Epv/F\\^	D#	1207.344-1230.285	1211.583-1238.9935		1217.6765-1240.617	1232.345-1255.2865	1235.822-1258.762	1244.088-1267.03	1248.025-1270.966
16	Ep	E	1287.833-1312.304	1292.3545-1321.593		1298.855-1323.3255	1314.502-1338.972	1318.21-1342.68	1327.028-1351.498	1331.226-1355.697
17	F		1368.322-1394.322	1373.127-1404.193		1380.033-1406.033	1396.658-1422.658	1400.598-1426.598	1409.967-1435.967	1414.428-1440.428