User:Moremajorthanmajor/13edIX: Difference between revisions
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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 | |||
|100.496-102.496 | |||
|104-106 | |||
|106.993-108.993 | |||
|- | |||
| |2 | |||
| |G | |||
|200.991-204.912 | |||
|208.001-212.001 | |||
|213.986-217.986 | |||
|- | |||
| |3 | |||
| |G#/Ab | |||
|301.487-307.487 | |||
|312.001-318.001 | |||
|320.979-326.979 | |||
|- | |||
| |4 | |||
| |A | |||
|401.982-409.982 | |||
|416.001-424.001 | |||
|427.972-435.972 | |||
|- | |||
| |5 | |||
| |B | |||
|502.478-512.478 | |||
|520.002-530.002 | |||
|534.965-544.965 | |||
|- | |||
| |6 | |||
| |B#/Hb | |||
|602.974-614.974 | |||
|624.002-636.002 | |||
|641.9585-653.9585 | |||
|- | |||
| |7 | |||
| |H | |||
|703.469-717.469 | |||
|728.002-742.0022 | |||
|748.9515-762.9515 | |||
|- | |||
| |8 | |||
| |C | |||
|803.965-819.965 | |||
|832.003-848.002 | |||
|855.945-871.945 | |||
|- | |||
| |9 | |||
| |C#/Db | |||
|904.46-922.46 | |||
|936.003-924.003 | |||
|962.938-980.938 | |||
|- | |||
| |10 | |||
| |D | |||
|1004.956-1024.956 | |||
|1040.003-1060.003 | |||
|1069.931-1089.931 | |||
|- | |||
| |11 | |||
| |D#/Eb | |||
|1105.452-1127.452 | |||
|1144.004-1166.004 | |||
|1177-924-1199.924 | |||
|- | |||
| |12 | |||
| |E | |||
|1205.947-1299.947 | |||
|1248.004-1272.004 | |||
|1283.917-1307.917 | |||
|- | |||
| |13 | |||
| |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-Med-13c | ||
!Min-Max-13c | !Min-Max-13c | ||
| Line 177: | Line 266: | ||
!Med-Max-13c | !Med-Max-13c | ||
!Min-Med+13c | !Min-Med+13c | ||
!Min-Max+13c | !Min-Max+13c | ||
!Med-Max | !Med-Max | ||
| Line 207: | Line 281: | ||
|99.359 | |99.359 | ||
|100.359 | |100.359 | ||
|- | |- | ||
| |2 | | |2 | ||
| Line 234: | Line 293: | ||
|198.719 | |198.719 | ||
|200.719 | |200.719 | ||
|- | |- | ||
| |3 | | |3 | ||
| Line 261: | Line 305: | ||
|298.078 | |298.078 | ||
|301.078 | |301.078 | ||
|- | |- | ||
| |4 | | |4 | ||
| Line 288: | Line 317: | ||
|397.4375 | |397.4375 | ||
|401.4375 | |401.4375 | ||
|- | |- | ||
| |5 | | |5 | ||
| Line 315: | Line 329: | ||
|496.797 | |496.797 | ||
|501.797 | |501.797 | ||
|- | |- | ||
| |6 | | |6 | ||
| Line 342: | Line 341: | ||
|596.156 | |596.156 | ||
|602.156 | |602.156 | ||
|- | |- | ||
| |7 | | |7 | ||
| Line 369: | Line 353: | ||
|695.516 | |695.516 | ||
|702.516 | |702.516 | ||
|- | |- | ||
| |8 | | |8 | ||
| Line 396: | Line 365: | ||
|794.875 | |794.875 | ||
|802.875 | |802.875 | ||
|- | |- | ||
| |9 | | |9 | ||
| Line 423: | Line 377: | ||
|894.234 | |894.234 | ||
|903.234 | |903.234 | ||
|- | |- | ||
| |10 | | |10 | ||
| Line 450: | Line 389: | ||
|993.594 | |993.594 | ||
|1003.594 | |1003.594 | ||
|- | |- | ||
| |11 | | |11 | ||
| Line 477: | Line 401: | ||
|1092.953 | |1092.953 | ||
|1103.953 | |1103.953 | ||
|- | |- | ||
| |12 | | |12 | ||
| Line 504: | Line 413: | ||
|1192.312 | |1192.312 | ||
|1204.312 | |1204.312 | ||
|- | |- | ||
| |13 | | |13 | ||
| Line 531: | Line 425: | ||
|1291.672 | |1291.672 | ||
|1304.672 | |1304.672 | ||
|} | |||
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 | |||
|101.733 | |||
|102.639 | |||
|102.733 | |||
|103.639 | |||
|103.733 | |||
|104.639 | |||
|105.256 | |||
|- | |||
| |2 | |||
| |G | |||
|203.466 | |||
|205.279 | |||
|205.466 | |||
|207.279 | |||
|207.466 | |||
|205.279 | |||
|210.511 | |||
|- | |||
| |3 | |||
| |G#/Ab | |||
|305.199 | |||
|311.9185 | |||
|308.199 | |||
|310.9185 | |||
|311.199 | |||
|313.9185 | |||
|315.767 | |||
|- | |||
| |4 | |||
| |A | |||
|406.932 | |||
|410.558 | |||
|410.932 | |||
|414.558 | |||
|414.932 | |||
|418.558 | |||
|421.022 | |||
|- | |||
| |5 | |||
| |B | |||
|508.6655 | |||
|513.1975 | |||
|513.6655 | |||
|518.1975 | |||
|518.6655 | |||
|523.1975 | |||
|526.278 | |||
|- | |||
| |6 | |||
| |B#/Hb | |||
|610.399 | |||
|615.837 | |||
|616.399 | |||
|621.837 | |||
|622.399 | |||
|627.837 | |||
|631.534 | |||
|- | |||
| |7 | |||
| |H | |||
|712.132 | |||
|718.4765 | |||
|719.132 | |||
|725.4765 | |||
|726.132 | |||
|732.4765 | |||
|736.789 | |||
|- | |||
| |8 | |||
| |C | |||
|813.865 | |||
|821.116 | |||
|821.865 | |||
|829.116 | |||
|829.865 | |||
|837.116 | |||
|842.045 | |||
|- | |||
| |9 | |||
| |C#/Db | |||
|915.598 | |||
|923.755 | |||
|924.598 | |||
|932.755 | |||
|933.598 | |||
|941.755 | |||
|947.3 | |||
|- | |||
| |10 | |||
| |D | |||
|1017.331 | |||
|1026.395 | |||
|1027.331 | |||
|1036.395 | |||
|1037.331 | |||
|1046.395 | |||
|1052.556 | |||
|- | |||
| |11 | |||
| |D#/Eb | |||
|1119.064 | |||
|1129.034 | |||
|1130.064 | |||
|1140.034 | |||
|1141.064 | |||
|1151.034 | |||
|1157.8115 | |||
|- | |||
| |12 | |||
| |E | |||
|1220.797 | |||
|1231.674 | |||
|1232.797 | |||
|1243.674 | |||
|1244.797 | |||
|1255.674 | |||
|1264.067 | |||
|- | |||
| |13 | |||
| |F | |||
|1322.53 | |1322.53 | ||
|1334.313 | |1334.313 | ||
| Line 538: | Line 568: | ||
|1360.313 | |1360.313 | ||
|1368.322 | |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 | |||
|106.11 | |||
|106.256 | |||
|107.11 | |||
|107.256 | |||
|107.738 | |||
|108.11 | |||
|108.738 | |||
|109.738 | |||
|- | |||
| |2 | |||
| |G | |||
|212.22 | |||
|212.511 | |||
|214.22 | |||
|214.511 | |||
|215.477 | |||
|216.22 | |||
|217.477 | |||
|219.477 | |||
|- | |||
| |3 | |||
| |G#/Ab | |||
|318.33 | |||
|318.767 | |||
|321.33 | |||
|321.767 | |||
|323.215 | |||
|324.33 | |||
|326.215 | |||
|329.215 | |||
|- | |||
| |4 | |||
| |A | |||
|424.44 | |||
|425.022 | |||
|428.44 | |||
|429.022 | |||
|430.953 | |||
|432.44 | |||
|434.953 | |||
|438.953 | |||
|- | |||
| |5 | |||
| |B | |||
|530.55 | |||
|531.278 | |||
|535.55 | |||
|536.278 | |||
|538.6915 | |||
|540.55 | |||
|543.6915 | |||
|548.6915 | |||
|- | |||
| |6 | |||
| |B#/Hb | |||
|636.6595 | |||
|637.534 | |||
|642.6595 | |||
|643.534 | |||
|646.43 | |||
|648.6595 | |||
|652.43 | |||
|658.43 | |||
|- | |||
| |7 | |||
| |H | |||
|742.769 | |||
|743.789 | |||
|749.769 | |||
|750.789 | |||
|754.168 | |||
|756.769 | |||
|761.168 | |||
|768.168 | |||
|- | |||
| |8 | |||
| |C | |||
|848.879 | |||
|850.045 | |||
|856.879 | |||
|858.045 | |||
|861.906 | |||
|864.879 | |||
|869.906 | |||
|877.906 | |||
|- | |||
| |9 | |||
| |C#/Db | |||
|954.989 | |||
|956.3 | |||
|963.989 | |||
|965.3 | |||
|969.645 | |||
|972.989 | |||
|978.645 | |||
|986.645 | |||
|- | |||
| |10 | |||
| |D | |||
|1061.099 | |||
|1062.556 | |||
|1071.099 | |||
|1072.556 | |||
|1077.383 | |||
|1081.099 | |||
|1087.383 | |||
|1077.383 | |||
|- | |||
| |11 | |||
| |D#/Eb | |||
|1167.209 | |||
|1168.8115 | |||
|1178.209 | |||
|1179.8115 | |||
|1185.121 | |||
|1189.209 | |||
|1196.121 | |||
|1207.121 | |||
|- | |||
| |12 | |||
| |E | |||
|1273.319 | |||
|1275.067 | |||
|1285.319 | |||
|1287.067 | |||
|1392.86 | |||
|1297.319 | |||
|1304.86 | |||
|1317.86 | |||
|- | |||
| |13 | |||
| |F | |||
|1379.429 | |1379.429 | ||
|1381.322 | |1381.322 | ||