User:Moremajorthanmajor/14edIX: Difference between revisions
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| Line 172: | Line 172: | ||
|1400 | |1400 | ||
|1440 | |1440 | ||
|} | |}Most harmonic tunings | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! rowspan="2" |Degrees | ! rowspan="2" |Degrees | ||
! rowspan="2" |Octatonic | ! rowspan="2" |Octatonic | ||
! | !Phrygian Mode (natural minor) | ||
! | !Phrygian-Aeolian Mode (intermediate minor) | ||
! | !Aeolian Mode (melodic/harmonic minor) | ||
|- | |||
!15/7±13¢ | |||
!11/5±13¢ | |||
!9/4±13¢ | |||
|- | |||
| |1 | |||
| |F#/Gb | |||
|93.317-95.1745 | |||
|96.572-98.429 | |||
|99.351-101.208 | |||
|- | |||
| |2 | |||
| |G | |||
|186.635-190.349 | |||
|193.1435-196.858 | |||
|198.701-202.416 | |||
|- | |||
| |3 | |||
| |G#/Ab | |||
|279.952-285.5235 | |||
|289.715-295.287 | |||
|298.052-303.624 | |||
|- | |||
| |4 | |||
| |A | |||
|373.269-380.698 | |||
|386.287-393.7155 | |||
|397.403-404.831 | |||
|- | |||
| |5 | |||
| |A#/Bb | |||
|466.587-475.872 | |||
|482.859-492.144 | |||
|496.754-506.039 | |||
|- | |||
| |6 | |||
| |B | |||
|559.904-571.047 | |||
|579.43-590.573 | |||
|596.104-607.247 | |||
|- | |||
| |7 | |||
| |H | |||
|653.224-666.221 | |||
|676.002-689.002 | |||
|695.455-708.455 | |||
|- | |||
| |8 | |||
| |H#/Cb | |||
|746.539-761.396 | |||
|772.574-787.431 | |||
|794.805-809.663 | |||
|- | |||
| |9 | |||
| |C | |||
|839.856-856.57 | |||
|869.146-885.86 | |||
|894.156-910.871 | |||
|- | |||
| |10 | |||
| |C#/Db | |||
|933.173-951.745 | |||
|965.717-984.289 | |||
|993.507-1012.079 | |||
|- | |||
| |11 | |||
| |D | |||
|1026.491-1046.919 | |||
|1062.289-1082.718 | |||
|1092.858-1113.286 | |||
|- | |||
| |12 | |||
| |D#/Eb | |||
|1119.808-1142.094 | |||
|1158.861-1181.1465 | |||
|1192.209-1214.494 | |||
|- | |||
| |13 | |||
| |E | |||
|1213.1255-1237.268 | |||
|1255.4325-1279.575 | |||
|1291.559-1315.702 | |||
|- | |||
|14 | |||
|F | |||
|1306.443-1332.443 | |||
|1352.004-1378.004 | |||
|1390.91-1416.91 | |||
|}Golden Tunings | |||
Phrygian Mode (natural minor) | |||
{| class="wikitable" | |||
|- | |- | ||
!Degrees | |||
!Octatonic | |||
!Min-Med-13c | |||
!Min-Max-13c | |||
!Min-Med | !Min-Med | ||
!Min-Max | !Min-Max | ||
!Med-Max | !Med-Max-13c | ||
!Min-Med | !Min-Med+13c | ||
! | !Min-Max+13c | ||
!Min-Max-13c | |||
!Min-Max | |||
|- | |- | ||
| |1 | | |1 | ||
| |F#/Gb | | |F#/Gb | ||
|89.855 | |||
|90.235 | |||
|90.783 | |90.783 | ||
|91.164 | |91.164 | ||
| | |91.334 | ||
| | |91.712 | ||
| | |92.092 | ||
|98. | |98.531 | ||
|- | |- | ||
| |2 | | |2 | ||
| |G | | |G | ||
|179.709 | |||
|180.47 | |||
|181.566 | |181.566 | ||
|182.327 | |182.327 | ||
| | |182.667 | ||
| | |183.4235 | ||
| | |184.184 | ||
|197. | |197.061 | ||
|- | |- | ||
| |3 | | |3 | ||
| |G#/Ab | | |G#/Ab | ||
|269.564 | |||
|270.705 | |||
|272.35 | |272.35 | ||
|273.491 | |273.491 | ||
| | |274.001 | ||
| | |275.135 | ||
| | |276.276 | ||
|295. | |295.592 | ||
|- | |- | ||
| |4 | | |4 | ||
| |A | | |A | ||
|359.4185 | |||
|360.94 | |||
|363.133 | |363.133 | ||
|364.654 | |364.654 | ||
| | |365.335 | ||
| | |366.847 | ||
| | |368.3685 | ||
|394. | |394.123 | ||
|- | |- | ||
| |5 | | |5 | ||
| |A#/Bb | | |A#/Bb | ||
|449.273 | |||
|451.175 | |||
|453.916 | |453.916 | ||
|455.818 | |455.818 | ||
| | |456.6685 | ||
| | |458.559 | ||
| | |460.461 | ||
|492.653 | |||
| | |||
|- | |- | ||
| |6 | | |6 | ||
| |B | | |B | ||
|539.128 | |||
|541.41 | |||
|544.699 | |544.699 | ||
|546.981 | |546.981 | ||
| | |548.002 | ||
| | |550.271 | ||
| | |552.553 | ||
|591. | |591.184 | ||
|- | |- | ||
| |7 | | |7 | ||
| |H | | |H | ||
|628.982 | |||
|631.645 | |||
|635.482 | |635.482 | ||
|638.145 | |638.145 | ||
| | |639.336 | ||
| | |641.982 | ||
| | |644.645 | ||
|689.7145 | |||
| | |||
|- | |- | ||
| |8 | | |8 | ||
| |H#/Cb | | |H#/Cb | ||
|718.837 | |||
|721.88 | |||
|726.2655 | |726.2655 | ||
|729.3085 | |729.3085 | ||
| | |730.67 | ||
| | |733.694 | ||
| | |736.737 | ||
| | |788.245 | ||
|- | |- | ||
| |9 | | |9 | ||
| |C | | |C | ||
|808.692 | |||
|812.115 | |||
|817.049 | |817.049 | ||
|820.472 | |820.472 | ||
| | |822.003 | ||
| | |825.406 | ||
| | |828.829 | ||
| | |886.776 | ||
|- | |- | ||
| |10 | | |10 | ||
| |C#/Db | | |C#/Db | ||
|898.546 | |||
|902.35 | |||
|907.832 | |907.832 | ||
|911.636 | |911.636 | ||
| | |913.337 | ||
| | |917.118 | ||
| | |920.921 | ||
| | |985.306 | ||
|- | |- | ||
| |11 | | |11 | ||
| |D | | |D | ||
|988.401 | |||
|992.585 | |||
|998.615 | |998.615 | ||
|1002.799 | |1002.799 | ||
| | |1007.671 | ||
| | |1008.829 | ||
| | |1013.013 | ||
| | |1083.837 | ||
|- | |- | ||
| |12 | | |12 | ||
| |D#/Eb | | |D#/Eb | ||
|1078.255 | |||
|1082.82 | |||
|1089.398 | |1089.398 | ||
|1093.963 | |1093.963 | ||
| | |1096.004 | ||
| | |1100.541 | ||
| | |1105.106 | ||
| | |1182.368 | ||
|- | |- | ||
| |13 | | |13 | ||
| |E | | |E | ||
|1168.11 | |||
|1173.055 | |||
|1180.1815 | |1180.1815 | ||
|1185.126 | |1185.126 | ||
| | |1187.338 | ||
|1192.253 | |||
|1197.198 | |||
|1280.898 | |||
|- | |||
|14 | |||
|F | |||
|1257.965 | |||
|1263.29 | |||
|1270.965 | |||
|1276.29 | |||
|1278.672 | |||
|1283.965 | |||
|1289.29 | |||
|1379.429 | |||
|} | |||
Phrygian-Aeolian Mode (intermediate minor) | |||
{| class="wikitable" | |||
|- | |||
!Degrees | |||
!Octatonic | |||
!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 | |||
|F#/Gb | |||
|94.4665 | |||
|95.308 | |||
|95.395 | |||
|96.237 | |||
|96.324 | |||
|97.165 | |||
|97.737 | |||
|- | |||
|2 | |||
|G | |||
|188.933 | |||
|190.616 | |||
|190.79 | |||
|192.473 | |||
|192.647 | |||
|194.3305 | |||
|195.475 | |||
|- | |||
|3 | |||
|G#/Ab | |||
|283.399 | |||
|285.924 | |||
|286.185 | |||
|288.71 | |||
|288.971 | |||
|291.496 | |||
|293.212 | |||
|- | |||
|4 | |||
|A | |||
|377.866 | |||
|381.228 | |||
|381.58 | |||
|384.947 | |||
|385.294 | |||
|388.661 | |||
|390.949 | |||
|- | |||
|5 | |||
|A#/Bb | |||
|472.332 | |||
|476.5405 | |||
|476.975 | |||
|481.183 | |||
|481.618 | |||
|485.826 | |||
|488.687 | |||
|- | |||
|6 | |||
|B | |||
|566.799 | |||
|571.849 | |||
|572.37 | |||
|577.42 | |||
|577.942 | |||
|582.9915 | |||
|586.424 | |||
|- | |||
|7 | |||
|H | |||
|661.265 | |||
|667.157 | |||
|667.765 | |||
|673.658 | |||
|674.265 | |||
|680.157 | |||
|684.161 | |||
|- | |||
|8 | |||
|H#/Cb | |||
|755.732 | |||
|762.465 | |||
|763.16 | |||
|769.893 | |||
|770.589 | |||
|777.322 | |||
|781.899 | |||
|- | |||
|9 | |||
|C | |||
|850.198 | |||
|857.773 | |||
|858.555 | |||
|866.13 | |||
|866.912 | |||
|874.487 | |||
|879.636 | |||
|- | |||
|10 | |||
|C#/Db | |||
|944.665 | |||
|953.081 | |||
|953.95 | |||
|962.367 | |||
|963.236 | |||
|971.652 | |||
|977.373 | |||
|- | |||
|11 | |||
|D | |||
|1039.131 | |||
|1048.298 | |||
|1049.345 | |||
|1058.603 | |||
|1059.56 | |||
|1068.818 | |||
|1075.111 | |||
|- | |||
|12 | |||
|D#/Eb | |||
|1113.5975 | |||
|1143.697 | |||
|1144.74 | |||
|1154.84 | |||
|1155.883 | |||
|1165.983 | |||
|1172.848 | |||
|- | |||
|13 | |||
|E | |||
|1228.064 | |||
|1239.005 | |||
|1240.435 | |1240.435 | ||
|1251.077 | |1251.077 | ||
|1252.207 | |||
|1263.148 | |||
|1270.585 | |||
|- | |||
|14 | |||
|F | |||
|1322.53 | |||
|1334.313 | |||
|1335.53 | |||
|1347.313 | |||
|1348.53 | |||
|1360.313 | |||
|1368.322 | |||
|} | |||
Aeolian Mode (melodic/harmonic minor) | |||
{| class="wikitable" | |||
|- | |||
!Degrees | |||
!Octatonic | |||
!Min-Max-13c | |||
!Min-Med | |||
!Min-Max | |||
!Min-Med+13c | |||
!Med-Max-13c | |||
!Min-Max+13c | |||
!Med-Max | |||
!Med-Max+13c | |||
|- | |||
|1 | |||
|F#/Gb | |||
|98.531 | |||
|98.666 | |||
|99.459 | |||
|99.5945 | |||
|100.043 | |||
|100.388 | |||
|100.971 | |||
|101.9 | |||
|- | |||
|2 | |||
|G | |||
|197.061 | |||
|197.332 | |||
|198.918 | |||
|199.189 | |||
|200.085 | |||
|200.776 | |||
|201.943 | |||
|203.8 | |||
|- | |||
|3 | |||
|G#/Ab | |||
|295.592 | |||
|295.998 | |||
|298.377 | |||
|298.783 | |||
|300.128 | |||
|301.163 | |||
|302.913 | |||
|305.6995 | |||
|- | |||
|4 | |||
|A | |||
|394.123 | |||
|394.664 | |||
|397.839 | |||
|398.378 | |||
|400.171 | |||
|401.551 | |||
|403.885 | |||
|407.599 | |||
|- | |||
|5 | |||
|A#/Bb | |||
|492.653 | |||
|493.3295 | |||
|497.296 | |||
|497.972 | |||
|500.2135 | |||
|501.939 | |||
|504.856 | |||
|509.499 | |||
|- | |||
|6 | |||
|B | |||
|591.184 | |||
|591.9955 | |||
|597.755 | |||
|597.567 | |||
|600.256 | |||
|602.327 | |||
|605.828 | |||
|611.399 | |||
|- | |||
|7 | |||
|H | |||
|689.7145 | |||
|690.661 | |||
|696.2145 | |||
|697.161 | |||
|700.299 | |||
|702.7145 | |||
|706.799 | |||
|713.299 | |||
|- | |||
|8 | |||
|H#/Cb | |||
|788.245 | |||
|789.327 | |||
|795.674 | |||
|796.756 | |||
|800.342 | |||
|803.102 | |||
|807.77 | |||
|815.199 | |||
|- | |||
|9 | |||
|C | |||
|886.776 | |||
|887.993 | |||
|895.133 | |||
|896.35 | |||
|900.384 | |||
|903.49 | |||
|908.7415 | |||
|917.099 | |||
|- | |||
|10 | |||
|C#/Db | |||
|985.306 | |||
|986.659 | |||
|994.592 | |||
|995.945 | |||
|1000.427 | |||
|1003.878 | |||
|1009.713 | |||
|1018.9985 | |||
|- | |||
|11 | |||
|D | |||
|1083.837 | |||
|1085.325 | |||
|1094.051 | |||
|1095.539 | |||
|1100.47 | |||
|1104.266 | |||
|1110.684 | |||
|1120.898 | |||
|- | |||
|12 | |||
|D#/Eb | |||
|1182.368 | |||
|1183.991 | |||
|1193.5105 | |||
|1195.134 | |||
|1200.512 | |||
|1204.653 | |||
|1211.655 | |||
|1222.798 | |||
|- | |||
|13 | |||
|E | |||
|1280.898 | |||
|1282.657 | |1282.657 | ||
|1292.97 | |1292.97 | ||
|1294.728 | |||
|1300.555 | |||
|1305.041 | |||
|1312.627 | |1312.627 | ||
|1324.698 | |||
|- | |- | ||
|14 | |14 | ||
|F | |F | ||
| | |1379.429 | ||
|1381.322 | |1381.322 | ||
|1392.429 | |1392.429 | ||
|1394.322 | |||
|1400.598 | |||
|1405.429 | |||
|1413.598 | |1413.598 | ||
|1426.598 | |||
|} | |} | ||
[[Category:14-tone]] | [[Category:14-tone]] | ||