User:Moremajorthanmajor/14edIX: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 602149170 - Original comment: ** |
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This scale, a reformed minor mode,occurs in [[12edo]], where it is the equal division of the major ninth. It has the Long Common Practice Macroshrutis 6L 2s MOS with a 2:1 ratio of large against small. It also gives the wide values for the period of the Greater [[Silicon]] temperament. | |||
This is | ==Intervals== | ||
{| class="wikitable" | |||
|+ | |||
!Nonet | |||
!Period | |||
!Notes | |||
|- | |||
|| | |1/1 | ||
|| | |''85.714'' | ||
|| | |Soft Phrygian mode begins | ||
|| | |- | ||
|| | |23\22 | ||
|| | |89.610 | ||
|| | | | ||
| | |- | ||
|| | |22\21 | ||
|| | |89.796 | ||
|| | |Soft Phrygian mode ends, Thirdtone Phrygian mode begins | ||
|| | |- | ||
|| | |21\20 | ||
|| | |90.000 | ||
|| | | | ||
|- | |||
|20\19 | |||
|90.226 | |||
| | |||
|- | |||
|19\18 | |||
|90.476 | |||
| | |||
|- | |||
|37\35 | |||
|90.612 | |||
| | |||
|- | |||
|18\17 | |||
|90.756 | |||
| | |||
|- | |||
|17\16 | |||
|91.071 | |||
| | |||
|- | |||
|16\15 | |||
|91.429 | |||
|Thirdtone Phrygian mode ends | |||
|- | |||
|15\14 | |||
|91.837 | |||
|Semitone Phrygian mode begins | |||
|- | |||
|14\13 | |||
|92.308 | |||
| | |||
|- | |||
|27\25 | |||
|92.571 | |||
| | |||
|- | |||
|13\12 | |||
|''92.857'' | |||
| | |||
|- | |||
|12\11 | |||
|93.506 | |||
| | |||
|- | |||
|11\10 | |||
|94.286 | |||
|Semitone Phrygian mode ends, Intense Phrygian mode begins | |||
|- | |||
|21\19 | |||
|94.737 | |||
| | |||
|- | |||
|10\9 | |||
|95.238 | |||
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins | |||
|- | |||
|19\17 | |||
|95.798 | |||
| | |||
|- | |||
|9\8 | |||
|''96.429'' | |||
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins | |||
|- | |||
|17\15 | |||
|97.143 | |||
| | |||
|- | |||
|8\7 | |||
|97.959 | |||
|Soft Aeolian mode ends, Flattone Aeolian mode begins | |||
|- | |||
|15\13 | |||
|98.901 | |||
| | |||
|- | |||
|22\19 | |||
|99.248 | |||
|Flattone Aeolian mode ends, Meantone Aeolian mode begins | |||
|- | |||
|29\25 | |||
| 99.429 | |||
| | |||
|- | |||
|7\6 | |||
|''100.000'' | |||
|Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins | |||
|- | |||
|20\17 | |||
|100.840 | |||
| | |||
|- | |||
|13\11 | |||
| 101.299 | |||
|Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins | |||
|- | |||
|19\16 | |||
|101.786 | |||
| | |||
|- | |||
|6\5 | |||
|102.857 | |||
|Ultrapyth Intense Aeolian mode ends | |||
|}Golden/Pyrite Tunings±13¢ | |||
{| class="wikitable" | |||
|- | |||
! rowspan="3" |Degrees | |||
! rowspan="3" |Octatonic | |||
! colspan="2" |Soft Phrygian | |||
! colspan="4" |Phrygian | |||
|- | |||
! rowspan="2" |Min-Med | |||
! rowspan="2" |Min-Max/Med-Max | |||
! colspan="2" |Thirdtone | |||
! colspan="2" |Semitone | |||
|- | |||
!Min-Med/Min-Max | |||
!Med-Max | |||
!Min-Med/Min-Max | |||
!Med-Max | |||
|- | |||
|1 | |||
|G#/Ab | |||
|88.575-90.4325 | |||
|88.751-90.608 | |||
|89.103-91.32 | |||
|89.871-91.7835 | |||
|91.334-93.515 | |||
|91.983-94.271 | |||
|- | |||
|2 | |||
|A | |||
|177.151-180.865 | |||
|177.501-181.216 | |||
|178.206-182.64 | |||
|179.743-183.567 | |||
|182.667-187.031 | |||
|183.965-188.543 | |||
|- | |||
|3 | |||
|A#/Bb | |||
|265.756-271.2975 | |||
|266.252-271.823 | |||
|267.309-273.96 | |||
|269.614-275.351 | |||
|274.001-280.545 | |||
|275.948-282.814 | |||
|- | |||
|4 | |||
|B | |||
|354.301-361.73 | |||
|355.003-362.431 | |||
|356.412-365.28 | |||
|359.4855-367.134 | |||
|365.335-374.613 | |||
|367.931-377.085 | |||
|- | |||
|5 | |||
|B#/Cb | |||
|442.877-452.1625 | |||
|443.753-453.039 | |||
|445.515-456.6 | |||
|449.357-458.918 | |||
|456.6685-467.577 | |||
|459.913-471.357 | |||
|- | |||
|6 | |||
|C | |||
|531.452-542.595 | |||
|532.504-543.647 | |||
|534.6175-547.92 | |||
|539.228-550.701 | |||
|548.002-561.092 | |||
|551.896-565.628 | |||
|- | |||
|7 | |||
|Q | |||
|620.0275-633.0275 | |||
|621.253-634.253 | |||
|623.7205-639.24 | |||
|629.1-642.485 | |||
|639.335-654.335 | |||
|643.879-659.8995 | |||
|- | |||
|8 | |||
|Q#/Db | |||
|708.603-723.46 | |||
|710.005-724.862 | |||
|712.823-730.56 | |||
|718.971-734 | |||
|730.67-748.123 | |||
|735.861-754.171 | |||
|- | |||
|9 | |||
|D | |||
|797.178-813.8925 | |||
|798.756-815.47 | |||
|801.926-821.88 | |||
|808.842-826.032 | |||
|822.003-841.78 | |||
|827.844848.442 | |||
|- | |||
|10 | |||
|D#/Eb | |||
|885.754-904.325 | |||
|887.507-906.078 | |||
|891.029-913.2 | |||
|898.714-917.835 | |||
|913.337-935.153 | |||
|919.8265-942.7135 | |||
|- | |||
|11 | |||
|E | |||
|974.329-994.7575 | |||
|976.257-996.686 | |||
|980.132-1004.52 | |||
|988.585-1009.619 | |||
|1007.671-1028.6685 | |||
|1011.809-1036.985 | |||
|- | |||
|12 | |||
|E#/Fb | |||
|1062.904-1085.19 | |||
|1065.008-1087.294 | |||
|1069.235-1095.84 | |||
|1078.4565-1101.023 | |||
|1096.004-1121.1894 | |||
|1103.792-1131.256 | |||
|- | |||
|13 | |||
|F | |||
|1151.48-1175.6225 | |||
|1153.759-1177.901 | |||
|1158.338-1187.16 | |||
|1168.328-1193.186 | |||
|1187.338-1215.699 | |||
|1195.7745-1225.528 | |||
|- | |||
|14 | |||
|G | |||
|1240.055-1266.055 | |||
|1242.506-1268.506 | |||
|1247.441-1278.48 | |||
|1258.199-1284.969 | |||
|1278.672-1309.2145 | |||
|1287.757-1319.799 | |||
|} | |||
{| class="wikitable" | |||
|- | |||
! rowspan="2" |Degrees | |||
! colspan="2" rowspan="2" |Octatonic | |||
! colspan="2" |Intense Phrygian | |||
! colspan="2" |Intense Phrygian-Soft Aeolian | |||
! colspan="2" |Soft Aeolian | |||
|- | |||
!Min-Med/Min-Max | |||
!Med-Max | |||
!Min-Med/Min-Max | |||
!Med-Max | |||
!Min-Med/Min-Max | |||
!Med-Max | |||
|- | |||
|1 | |||
|F#/Gb | |||
|G#/Ab | |||
|93.6975-95.555 | |||
|93.922-95.779 | |||
|94.732-96.589 | |||
|95.012-96.869 | |||
|96.037-97.894 | |||
|96.397-98.254 | |||
|- | |||
|2 | |||
|G | |||
|A | |||
|187.395-191.109 | |||
|187.844-191.558 | |||
|189.463-193.178 | |||
|190.0235-193.738 | |||
|192.074-195.789 | |||
|192.794-196.508 | |||
|- | |||
|3 | |||
|G#/Ab | |||
|A#/Bb | |||
|281.093-286.664 | |||
|281.765-287.337 | |||
|284.195-289.766 | |||
|285.035-290.607 | |||
|288.112-293.683 | |||
|289.191-294.7625 | |||
|- | |||
|4 | |||
|A | |||
|B | |||
|374.79-382.219 | |||
|375.687-383.116 | |||
|378.9265-386.219 | |||
|380.047-387.476 | |||
|384.149-391.577 | |||
|385.588-393.017 | |||
|- | |||
|5 | |||
|A#/Bb | |||
|B#/Cb | |||
|468.488-477.773 | |||
|469.609-478.895 | |||
|473.658-482.944 | |||
|475.059-484.3445 | |||
|480.186-489.472 | |||
|481.985-491.271 | |||
|- | |||
|6 | |||
|B | |||
|C | |||
|562.185-573.328 | |||
|563.531-574.674 | |||
|568.39-579.533 | |||
|570.0705-581.213 | |||
|576.223-587.366 | |||
|578.382-589.525 | |||
|- | |||
|7 | |||
|H | |||
|Q | |||
|655.883-668.883 | |||
|657.4525-670.4525 | |||
|663.121-676.121 | |||
|665.082-678.082 | |||
|672.2605-685.2605 | |||
|674.779-687.779 | |||
|- | |||
|8 | |||
|H#/Cb | |||
|Q#/Db | |||
|749.58-764.4375 | |||
|751.374-766.231 | |||
|757.853-772.71 | |||
|760.094-774.951 | |||
|768.298-783.155 | |||
|771.176-786.033 | |||
|- | |||
|9 | |||
|C | |||
|D | |||
|843.278-859.992 | |||
|845.296-862.01 | |||
|852.585-869.299 | |||
|855.105-871.82 | |||
|864.335-881.049 | |||
|867.573-884.2875 | |||
|- | |||
|10 | |||
|C#/Db | |||
|D#/Eb | |||
|936.975-955.5546 | |||
|939.218-957.789 | |||
|947.316-965.887 | |||
|950.1175-968.689 | |||
|960.372-978.9435 | |||
|963.97-982.542 | |||
|- | |||
|11 | |||
|D | |||
|E | |||
|1030.672-1051.101 | |||
|1033.101-1053.568 | |||
|1042.048-1062.477 | |||
|1045.129-1065.558 | |||
|1056.409-1076.838 | |||
|1060.367-1080.796 | |||
|- | |||
|12 | |||
|D#/Eb | |||
|E#/Fb | |||
|1124.3705-1146.656 | |||
|1127.061-1149.347 | |||
|1136.78-1159.065 | |||
|1140.141-1162.427 | |||
|1152.4465-1174.732 | |||
|1156.764-1179.05 | |||
|- | |||
|13 | |||
|E | |||
|F | |||
|1218.068-1242.211 | |||
|1220.983-1245.126 | |||
|1231.511-1255.654 | |||
|1235.153-1259.295 | |||
|1248.484-1272.626 | |||
|1253.161-1227.304 | |||
|- | |||
|14 | |||
|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 | |||
|} | |||
{| class="wikitable" | |||
! rowspan="3" |Degrees | |||
! rowspan="3" |Octatonic | |||
! colspan="4" |Aeolian | |||
! colspan="4" |Intense Aeolian | |||
|- | |||
! colspan="2" |Flattone | |||
! colspan="2" |Meantone | |||
! colspan="2" |Superpyth | |||
! colspan="2" |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 | |||
|F#/Gb | |||
|97.737-99.5945 | |||
| colspan="2" |98.0805-100.2995 | |||
|98.574-100.431 | |||
|99.761-101.618 | |||
|100.043-101.9 | |||
|100.712-102.569 | |||
|101.031-102.888 | |||
|- | |||
|2 | |||
|G | |||
|195.475-199.189 | |||
| colspan="2" |196.161-200.599 | |||
|197.148-200.862 | |||
|199.523-203.237 | |||
|200.085-203.8 | |||
|201.424-205.138 | |||
|202.061.205.7755 | |||
|- | |||
|3 | |||
|G#/Ab | |||
|293.212-298.783 | |||
| colspan="2" |294.2415-300.8985 | |||
|295.721-301.293 | |||
|299.284-304.885 | |||
|300.128-305.6995 | |||
|302.135-307.707 | |||
|303.092-308.663 | |||
|- | |||
|4 | |||
|A | |||
|390.949-398.378 | |||
| colspan="2" |392.322-401.198 | |||
|394.295-401.724 | |||
|399.045-406.474 | |||
|400.171-407.599 | |||
|402.848-410.276 | |||
|404.122-411.551 | |||
|- | |||
|5 | |||
|A#/Bb | |||
|488.687-497.972 | |||
| colspan="2" |490.4025-501.497 | |||
|492.869-502.155 | |||
|498.806-508.092 | |||
|500.2135-509.499 | |||
|503.56-512.845 | |||
|505.153-514.439 | |||
|- | |||
|6 | |||
|B | |||
|586.424-597.567 | |||
| colspan="2" |588.483-601.797 | |||
|591.443-602.586 | |||
|598.568-609.711 | |||
|600.256-611.399 | |||
|604.2715-615.414 | |||
|606.1835-617.326 | |||
|- | |||
|7 | |||
|H | |||
|684.161-697.161 | |||
| colspan="2" |686.5635-702.096 | |||
|690.017-703.017 | |||
|698.329-711.329 | |||
|700.299-713.299 | |||
|704.983-717.983 | |||
|707.214-720.214 | |||
|- | |||
|8 | |||
|H#/Cb | |||
|781.899-796.756 | |||
| colspan="2" |784.644-802.3955 | |||
|788.5905-803.448 | |||
|798.09-812.947 | |||
|800.342-815.199 | |||
|805.695-820.5525 | |||
|808.245-823.102 | |||
|- | |||
|9 | |||
|C | |||
|879.636-896.35 | |||
| colspan="2" |882.724-902.695 | |||
|887.164-903.879 | |||
|897.8582-914.566. | |||
|900.384-917.099 | |||
|906.407-923.1215 | |||
|909.275-925.9895 | |||
|- | |||
|10 | |||
|C#/Db | |||
|977.373-995.945 | |||
| colspan="2" |980.805-1002.995 | |||
|985.738-1004.3095 | |||
|997.613-1016.184 | |||
|1000.427-1018.9985 | |||
|1007.119-1025.691 | |||
|1010.306-1028.877 | |||
|- | |||
|11 | |||
|D | |||
|1075.111-1095.539 | |||
| colspan="2" |1078.885-1003.294 | |||
|1084.312-1104.7405 | |||
|1097.374-1117.803 | |||
|1100.47-1120.898 | |||
|1107.831-1128.26 | |||
|1111.134-1131.765 | |||
|- | |||
|12 | |||
|D#/Eb | |||
|1172.848-1195.134 | |||
| colspan="2" |1176.966-1203.594 | |||
|1182.886-1205.171 | |||
|1197.135-1219.421 | |||
|1200.512-1222.798 | |||
|1208.543-1230.829 | |||
|1212.367-1234.653 | |||
|- | |||
|13 | |||
|E | |||
|1270.585-1294.728 | |||
| colspan="2" |1275.046-1303.893 | |||
|1281.4956-1305.603 | |||
|1296.867-1321.04 | |||
|1300.555-1324.698 | |||
|1309.255-1333.398 | |||
|1313.3975-1337.54 | |||
|- | |||
|14 | |||
|F | |||
|1368.323-1394.324 | |||
| colspan="2" |1373.127-1404.193 | |||
|1380.033-1406.033 | |||
|1396.658-1422.658 | |||
|1400.598-1426.598 | |||
|1409.967-1435.967 | |||
|1414.428-1440.428 | |||
|} | |||