User:Moremajorthanmajor/14edIX: Difference between revisions
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| Line 5: | Line 5: | ||
! rowspan="2" |Octatonic | ! rowspan="2" |Octatonic | ||
! colspan="4" |Phrygian Mode (aka Double) Neapolitan Temperament (natural minor) | ! colspan="4" |Phrygian Mode (aka Double) Neapolitan Temperament (natural minor) | ||
! colspan=" | ! colspan="9" |Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor) | ||
! colspan="3" |Aeolian Mode Neapolitan Temperament (melodic/harmonic minor) | ! colspan="3" |Aeolian Mode Neapolitan Temperament (melodic/harmonic minor) | ||
|- | |- | ||
| Line 13: | Line 13: | ||
!Maximum | !Maximum | ||
! |Minimum | ! |Minimum | ||
!Median | |||
!Maximum | |||
!Minimum | |||
!Median | |||
!Maximum | |||
!Minimum | |||
!Median | !Median | ||
!Maximum | !Maximum | ||
| Line 25: | Line 31: | ||
|91.429 | |91.429 | ||
| colspan="2" |94.286 | | colspan="2" |94.286 | ||
|94.737 | |||
| colspan="2" |95.238 | |||
|95.798 | |95.798 | ||
| colspan="2" |96.429 | |||
|97.143 | |||
| colspan="2" |97.959 | | colspan="2" |97.959 | ||
|100 | |100 | ||
| Line 36: | Line 46: | ||
|182.857 | |182.857 | ||
| colspan="2" |188.571 | | colspan="2" |188.571 | ||
|189.473 | |||
| colspan="2" |190.476 | |||
|191.597 | |191.597 | ||
| colspan="2" |192.857 | |||
|194.286 | |||
| colspan="2" |195.918 | | colspan="2" |195.918 | ||
|200 | |200 | ||
| Line 47: | Line 61: | ||
|274.286 | |274.286 | ||
| colspan="2" |282.857 | | colspan="2" |282.857 | ||
|284.2105 | |||
| colspan="2" |285.714 | |||
|287.395 | |287.395 | ||
| colspan="2" |289.286 | |||
|291.429 | |||
| colspan="2" |293.878 | | colspan="2" |293.878 | ||
|300 | |300 | ||
| Line 58: | Line 76: | ||
|365.714 | |365.714 | ||
| colspan="2" |377.143 | | colspan="2" |377.143 | ||
|378.947 | |||
| colspan="2" |380.952 | |||
|383.193 | |383.193 | ||
| colspan="2" |385.714 | |||
|388.571 | |||
| colspan="2" |391.836 | | colspan="2" |391.836 | ||
|400 | |400 | ||
| Line 69: | Line 91: | ||
|467.143 | |467.143 | ||
| colspan="2" |471.429 | | colspan="2" |471.429 | ||
|473.684 | |||
| colspan="2" |476.1905 | |||
|478.992 | |478.992 | ||
| colspan="2" |482.143 | |||
|485.714 | |||
| colspan="2" |489.796 | | colspan="2" |489.796 | ||
|500 | |500 | ||
| Line 80: | Line 106: | ||
|548.571 | |548.571 | ||
| colspan="2" |565.714 | | colspan="2" |565.714 | ||
|568.421 | |||
| colspan="2" |571.429 | |||
|574.79 | |574.79 | ||
| colspan="2" |578.571 | |||
|582.857 | |||
| colspan="2" |587.755 | | colspan="2" |587.755 | ||
|600 | |600 | ||
| Line 91: | Line 121: | ||
|640 | |640 | ||
| colspan="2" |660 | | colspan="2" |660 | ||
|663.158 | |||
| colspan="2" |666.667 | |||
|670.588 | |670.588 | ||
| colspan="2" |675 | |||
|680 | |||
| colspan="2" |685.714 | | colspan="2" |685.714 | ||
|700 | |700 | ||
| Line 102: | Line 136: | ||
|731.429 | |731.429 | ||
| colspan="2" |754.286 | | colspan="2" |754.286 | ||
|757.894 | |||
| colspan="2" |761.905 | |||
|766.387 | |766.387 | ||
| colspan="2" |771.429 | |||
|777.143 | |||
| colspan="2" |783.6735 | | colspan="2" |783.6735 | ||
|800 | |800 | ||
| Line 113: | Line 151: | ||
|822.857 | |822.857 | ||
| colspan="2" |848.571 | | colspan="2" |848.571 | ||
|853.632 | |||
| colspan="2" |857.143 | |||
|862.185 | |862.185 | ||
| colspan="2" |867.857 | |||
|874.286 | |||
| colspan="2" |881.633 | | colspan="2" |881.633 | ||
|900 | |900 | ||
| Line 124: | Line 166: | ||
|914.286 | |914.286 | ||
| colspan="2" |942.857 | | colspan="2" |942.857 | ||
|947.368 | |||
| colspan="2" |952.381 | |||
|957.983 | |957.983 | ||
| colspan="2" |964.286 | |||
|971.429 | |||
| colspan="2" |979.592 | | colspan="2" |979.592 | ||
|1000 | |1000 | ||
| Line 135: | Line 181: | ||
|1005.714 | |1005.714 | ||
| colspan="2" |1037.143 | | colspan="2" |1037.143 | ||
|1042.105 | |||
| colspan="2" |1047.619 | |||
|1053.7815 | |1053.7815 | ||
| colspan="2" |1060.714 | |||
|1068.571 | |||
| colspan="2" |1077.551 | | colspan="2" |1077.551 | ||
|1100 | |1100 | ||
| Line 146: | Line 196: | ||
|1097.143 | |1097.143 | ||
| colspan="2" |1131.429 | | colspan="2" |1131.429 | ||
|1136.842 | |||
| colspan="2" |1142.857 | |||
|1149.58 | |1149.58 | ||
| colspan="2" |1157.143 | |||
|1165.714 | |||
| colspan="2" |1175.51 | | colspan="2" |1175.51 | ||
|1200 | |1200 | ||
| Line 157: | Line 211: | ||
|1188.571 | |1188.571 | ||
| colspan="2" |1225.714 | | colspan="2" |1225.714 | ||
|1231.579 | |||
| colspan="2" |1238.095 | |||
|1245.378 | |1245.378 | ||
| colspan="2" |1253.571 | |||
|1262.857 | |||
| colspan="2" |1273.469 | | colspan="2" |1273.469 | ||
|1300 | |1300 | ||
| Line 168: | Line 226: | ||
|1280 | |1280 | ||
| colspan="2" |1320 | | colspan="2" |1320 | ||
|1326.316 | |||
| colspan="2" |1333.333 | |||
|1341.1765 | |1341.1765 | ||
| colspan="2" |1350 | |||
|1360 | |||
| colspan="2" |1371.429 | | colspan="2" |1371.429 | ||
|1400 | |1400 | ||
| Line 275: | Line 337: | ||
!Degrees | !Degrees | ||
!Octatonic | !Octatonic | ||
!Min- | !Min-Med±13¢ | ||
!Min-Max±13¢ | |||
!Min- | !Med-Max±13¢ | ||
!Med- | |||
|- | |- | ||
| |1 | | |1 | ||
| |F#/Gb | | |F#/Gb | ||
|89.855 | |89.855-91.712 | ||
|90.235 | |90.235-92.092 | ||
|91.234-93.191 | |||
|91. | |||
|- | |- | ||
| |2 | | |2 | ||
| |G | | |G | ||
|179.709 | |179.709-183.4235 | ||
|180.47 | |180.47-184.184 | ||
|182.667-186.382 | |||
|182.667 | |||
|- | |- | ||
| |3 | | |3 | ||
| |G#/Ab | | |G#/Ab | ||
|269.564 | |269.564-275.135 | ||
|270.705 | |270.705-276.276 | ||
|274.001-279.5725 | |||
|274.001 | |||
|- | |- | ||
| |4 | | |4 | ||
| |A | | |A | ||
|359.4185 | |359.4185-366.847 | ||
|360.94 | |360.94-368.3685 | ||
|365.335-372.763 | |||
|365.335 | |||
|- | |- | ||
| |5 | | |5 | ||
| |A#/Bb | | |A#/Bb | ||
|449.273 | |449.273-458.559 | ||
|451.175 | |451.175-460.461 | ||
|456.6685-465.954 | |||
|456.6685 | |||
|- | |- | ||
| |6 | | |6 | ||
| |B | | |B | ||
|539.128 | |539.128-550.271 | ||
|541.41 | |541.41-552.553 | ||
|548.002-559.145 | |||
|548.002 | |||
|- | |- | ||
| |7 | | |7 | ||
| |H | | |H | ||
|628.982 | |628.982-641.982 | ||
|631.645 | |631.645-644.645 | ||
|639.335-652.335 | |||
|639. | |||
|- | |- | ||
| |8 | | |8 | ||
| |H#/Cb | | |H#/Cb | ||
|718.837 | |718.837-733.694 | ||
|721.88 | |721.88-736.737 | ||
|730.67-745.257 | |||
|730.67 | |||
|- | |- | ||
| |9 | | |9 | ||
| |C | | |C | ||
|808.692 | |808.692-825.406 | ||
|812.115 | |812.115-828.829 | ||
|822.003-838.718 | |||
|822.003 | |||
|- | |- | ||
| |10 | | |10 | ||
| |C#/Db | | |C#/Db | ||
|898.546 | |898.546-917.118 | ||
|902.35 | |902.35-920.921 | ||
|913.337-931.908 | |||
|913.337 | |||
|- | |- | ||
| |11 | | |11 | ||
| |D | | |D | ||
|988.401 | |988.401-1008.829 | ||
|992.585 | |992.585-1013.013 | ||
|1007.671-1025.099 | |||
|1007.671 | |||
|- | |- | ||
| |12 | | |12 | ||
| |D#/Eb | | |D#/Eb | ||
|1078.255 | |1078.255-1100.541 | ||
|1082.82 | |1082.82-1105.106 | ||
|1096.004-1118.29 | |||
|1096.004 | |||
|- | |- | ||
| |13 | | |13 | ||
| |E | | |E | ||
|1168.11 | |1168.11-1192.253 | ||
|1173.055 | |1173.055-1197.198 | ||
|1187.338-1211.481 | |||
|1187.338 | |||
|- | |- | ||
|14 | |14 | ||
|F | |F | ||
|1257.965 | |1257.965-1283.965 | ||
|1263.29 | |1263.29-1289.29 | ||
|1278.672-1304.672 | |||
|1278.672 | |||
|} | |} | ||
Phrygian-Aeolian Mode (intermediate minor) | Phrygian-Aeolian Mode (intermediate minor) | ||
{| class="wikitable" | {| class="wikitable" | ||
! rowspan="2" |Degrees | |||
! rowspan="2" |Octatonic | |||
! colspan="2" |Intense Phrygian | |||
! colspan="2" |Intense Phrygian-Soft Aeolian | |||
! colspan="2" |Soft Aeolian | |||
|- | |- | ||
!Min-Med/Min-Max±13¢ | |||
!Med-Max±13¢ | |||
!Min-Med/Min- | !Min-Med/Min-Max±13¢ | ||
!Med- | !Med-Max±13¢ | ||
!Min-Med/Min- | !Min-Med/Min-Max±13¢ | ||
!Med- | !Med-Max±13¢ | ||
!Min-Med/Min- | |||
! | |||
|- | |- | ||
|1 | |1 | ||
|F#/Gb | |F#/Gb | ||
| | |93.6975-95.555 | ||
|93.922-95.779 | |||
|95. | |94.732-96.589 | ||
|96. | |95.012-96.869 | ||
|96. | |96.037-97.894 | ||
|97. | |96.397-98.254 | ||
| | |||
|- | |- | ||
|2 | |2 | ||
|G | |G | ||
| | |187.395-191.109 | ||
| | |187.844-191.558 | ||
| | |189.463-193.178 | ||
| | |190.0235-193.738 | ||
|192. | |192.074-195.789 | ||
| | |192.794-196.508 | ||
|- | |- | ||
|3 | |3 | ||
|G#/Ab | |G#/Ab | ||
| | |281.093-286.664 | ||
| | |281.765-287.337 | ||
| | |284.195-289.766 | ||
| | |285.035-290.607 | ||
|288. | |288.112-293.683 | ||
| | |289.191-294.7625 | ||
|- | |- | ||
|4 | |4 | ||
|A | |A | ||
| | |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 | |5 | ||
|A#/Bb | |A#/Bb | ||
| | |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 | |6 | ||
|B | |B | ||
| | |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 | |7 | ||
|H | |H | ||
| | |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 | |8 | ||
|H#/Cb | |H#/Cb | ||
| | |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 | |9 | ||
|C | |C | ||
| | |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 | |10 | ||
|C#/Db | |C#/Db | ||
| | |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 | |11 | ||
|D | |D | ||
| | |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 | |12 | ||
|D#/Eb | |D#/Eb | ||
| | |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 | |13 | ||
|E | |E | ||
| | |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 | |14 | ||
|F | |F | ||
| | |1311.767-1337.767 | ||
| | |1314.905-1340.905 | ||
| | |1326.243-1352.243 | ||
| | |1330.1645-1356.1645 | ||
| | |1344.521-1370.521 | ||
| | |1349.558-1375.558 | ||
|} | |} | ||
Aeolian Mode (melodic/harmonic minor) | Aeolian Mode (melodic/harmonic minor) | ||
| Line 596: | Line 571: | ||
!Degrees | !Degrees | ||
!Octatonic | !Octatonic | ||
!Min- | !Min-Med±13¢ | ||
!Min-Max±13¢ | |||
!Med-Max±13¢ | |||
!Min- | |||
!Med- | |||
|- | |- | ||
|1 | |1 | ||
|F#/Gb | |F#/Gb | ||
| | |97.737-99.5945 | ||
|98.531-100.388 | |||
|100.043-101.9 | |||
| | |||
|100. | |||
|- | |- | ||
|2 | |2 | ||
|G | |G | ||
| | |195.475-199.189 | ||
|197.061-200.776 | |||
|200.085-203.8 | |||
| | |||
| | |||
|- | |- | ||
|3 | |3 | ||
|G#/Ab | |G#/Ab | ||
| | |293.212-298.783 | ||
|295.592-301.163 | |||
|300.128-305.6995 | |||
| | |||
| | |||
|- | |- | ||
|4 | |4 | ||
|A | |A | ||
| | |390.949-398.378 | ||
|394.123-401.551 | |||
|400.171-407.599 | |||
| | |||
| | |||
|- | |- | ||
|5 | |5 | ||
|A#/Bb | |A#/Bb | ||
| | |488.687-497.972 | ||
|492.653-501.939 | |||
|500.2135-509.499 | |||
| | |||
| | |||
|- | |- | ||
|6 | |6 | ||
|B | |B | ||
| | |586.424-597.567 | ||
|591.184-602.327 | |||
|600.256-611.399 | |||
| | |||
| | |||
|- | |- | ||
|7 | |7 | ||
|H | |H | ||
| | |684.161-697.161 | ||
|689.7145-702.7145 | |||
|700.299-713.299 | |||
| | |||
| | |||
|- | |- | ||
|8 | |8 | ||
|H#/Cb | |H#/Cb | ||
| | |781.899-796.756 | ||
|788.245-803.102 | |||
|800.342-815.199 | |||
| | |||
| | |||
|- | |- | ||
|9 | |9 | ||
|C | |C | ||
| | |879.636-896.35 | ||
|886.776-903.49 | |||
|900.384-917.099 | |||
| | |||
| | |||
|- | |- | ||
|10 | |10 | ||
|C#/Db | |C#/Db | ||
| | |977.373-995.945 | ||
|985.306-1003.878 | |||
|1000.427-1018.9985 | |||
| | |||
| | |||
|- | |- | ||
|11 | |11 | ||
|D | |D | ||
| | |1075.111-1095.539 | ||
|1083.837-1104.266 | |||
|1100.47-1120.898 | |||
| | |||
| | |||
|- | |- | ||
|12 | |12 | ||
|D#/Eb | |D#/Eb | ||
| | |1172.848-1195.134 | ||
|1182.368-1204.653 | |||
|1200.512-1222.798 | |||
| | |||
| | |||
|- | |- | ||
|13 | |13 | ||
|E | |E | ||
| | |1270.585-1294.728 | ||
|1280.898-1305.041 | |||
|1300.555-1324.698 | |||
| | |||
| | |||
|- | |- | ||
|14 | |14 | ||
|F | |F | ||
| | |1368.322-1394.322 | ||
|1379.429-1405.429 | |||
|1400.598-1426.598 | |||
| | |||
| | |||
|} | |} | ||
[[Category:14-tone]] | [[Category:14-tone]] | ||
Revision as of 22:14, 24 November 2018
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.
Intervals
| Degrees | Octatonic | Phrygian Mode (aka Double) Neapolitan Temperament (natural minor) | Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor) | Aeolian Mode Neapolitan Temperament (melodic/harmonic minor) | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Absolute Minimum | Minimum | Median | Maximum | Minimum | Median | Maximum | Minimum | Median | Maximum | Minimum | Median | Maximum | Minimum | Median | Maximum | ||
| 1 | F#/Gb | 85.714 | 89.143 | 91.429 | 94.286 | 94.737 | 95.238 | 95.798 | 96.429 | 97.143 | 97.959 | 100 | 102.857 | ||||
| 2 | G | 171.429 | 178.286 | 182.857 | 188.571 | 189.473 | 190.476 | 191.597 | 192.857 | 194.286 | 195.918 | 200 | 205.714 | ||||
| 3 | G#/Ab | 257.143 | 267.429 | 274.286 | 282.857 | 284.2105 | 285.714 | 287.395 | 289.286 | 291.429 | 293.878 | 300 | 308.571 | ||||
| 4 | A | 342.857 | 356.571 | 365.714 | 377.143 | 378.947 | 380.952 | 383.193 | 385.714 | 388.571 | 391.836 | 400 | 411.429 | ||||
| 5 | A#/Bb | 428.571 | 445.714 | 467.143 | 471.429 | 473.684 | 476.1905 | 478.992 | 482.143 | 485.714 | 489.796 | 500 | 514.286 | ||||
| 6 | B | 514.286 | 534.857 | 548.571 | 565.714 | 568.421 | 571.429 | 574.79 | 578.571 | 582.857 | 587.755 | 600 | 617.143 | ||||
| 7 | H | 600 | 624 | 640 | 660 | 663.158 | 666.667 | 670.588 | 675 | 680 | 685.714 | 700 | 720 | ||||
| 8 | H#/Cb | 685.714 | 713.143 | 731.429 | 754.286 | 757.894 | 761.905 | 766.387 | 771.429 | 777.143 | 783.6735 | 800 | 822.857 | ||||
| 9 | C | 771.429 | 802.286 | 822.857 | 848.571 | 853.632 | 857.143 | 862.185 | 867.857 | 874.286 | 881.633 | 900 | 925.714 | ||||
| 10 | C#/Db | 857.143 | 891.429 | 914.286 | 942.857 | 947.368 | 952.381 | 957.983 | 964.286 | 971.429 | 979.592 | 1000 | 1028.571 | ||||
| 11 | D | 942.857 | 980.571 | 1005.714 | 1037.143 | 1042.105 | 1047.619 | 1053.7815 | 1060.714 | 1068.571 | 1077.551 | 1100 | 1131.429 | ||||
| 12 | D#/Eb | 1028.571 | 1069.714 | 1097.143 | 1131.429 | 1136.842 | 1142.857 | 1149.58 | 1157.143 | 1165.714 | 1175.51 | 1200 | 1234.286 | ||||
| 13 | E | 1114.286 | 1158.857 | 1188.571 | 1225.714 | 1231.579 | 1238.095 | 1245.378 | 1253.571 | 1262.857 | 1273.469 | 1300 | 1337.143 | ||||
| 14 | F | 1200 | 1268.571 | 1280 | 1320 | 1326.316 | 1333.333 | 1341.1765 | 1350 | 1360 | 1371.429 | 1400 | 1440 | ||||
Most harmonic tunings
| Degrees | 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)
| Degrees | Octatonic | Min-Med±13¢ | Min-Max±13¢ | Med-Max±13¢ |
|---|---|---|---|---|
| 1 | F#/Gb | 89.855-91.712 | 90.235-92.092 | 91.234-93.191 |
| 2 | G | 179.709-183.4235 | 180.47-184.184 | 182.667-186.382 |
| 3 | G#/Ab | 269.564-275.135 | 270.705-276.276 | 274.001-279.5725 |
| 4 | A | 359.4185-366.847 | 360.94-368.3685 | 365.335-372.763 |
| 5 | A#/Bb | 449.273-458.559 | 451.175-460.461 | 456.6685-465.954 |
| 6 | B | 539.128-550.271 | 541.41-552.553 | 548.002-559.145 |
| 7 | H | 628.982-641.982 | 631.645-644.645 | 639.335-652.335 |
| 8 | H#/Cb | 718.837-733.694 | 721.88-736.737 | 730.67-745.257 |
| 9 | C | 808.692-825.406 | 812.115-828.829 | 822.003-838.718 |
| 10 | C#/Db | 898.546-917.118 | 902.35-920.921 | 913.337-931.908 |
| 11 | D | 988.401-1008.829 | 992.585-1013.013 | 1007.671-1025.099 |
| 12 | D#/Eb | 1078.255-1100.541 | 1082.82-1105.106 | 1096.004-1118.29 |
| 13 | E | 1168.11-1192.253 | 1173.055-1197.198 | 1187.338-1211.481 |
| 14 | F | 1257.965-1283.965 | 1263.29-1289.29 | 1278.672-1304.672 |
Phrygian-Aeolian Mode (intermediate minor)
| Degrees | Octatonic | Intense Phrygian | Intense Phrygian-Soft Aeolian | Soft Aeolian | |||
|---|---|---|---|---|---|---|---|
| Min-Med/Min-Max±13¢ | Med-Max±13¢ | Min-Med/Min-Max±13¢ | Med-Max±13¢ | Min-Med/Min-Max±13¢ | Med-Max±13¢ | ||
| 1 | F#/Gb | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 1311.767-1337.767 | 1314.905-1340.905 | 1326.243-1352.243 | 1330.1645-1356.1645 | 1344.521-1370.521 | 1349.558-1375.558 |
Aeolian Mode (melodic/harmonic minor)
| Degrees | Octatonic | Min-Med±13¢ | Min-Max±13¢ | Med-Max±13¢ |
|---|---|---|---|---|
| 1 | F#/Gb | 97.737-99.5945 | 98.531-100.388 | 100.043-101.9 |
| 2 | G | 195.475-199.189 | 197.061-200.776 | 200.085-203.8 |
| 3 | G#/Ab | 293.212-298.783 | 295.592-301.163 | 300.128-305.6995 |
| 4 | A | 390.949-398.378 | 394.123-401.551 | 400.171-407.599 |
| 5 | A#/Bb | 488.687-497.972 | 492.653-501.939 | 500.2135-509.499 |
| 6 | B | 586.424-597.567 | 591.184-602.327 | 600.256-611.399 |
| 7 | H | 684.161-697.161 | 689.7145-702.7145 | 700.299-713.299 |
| 8 | H#/Cb | 781.899-796.756 | 788.245-803.102 | 800.342-815.199 |
| 9 | C | 879.636-896.35 | 886.776-903.49 | 900.384-917.099 |
| 10 | C#/Db | 977.373-995.945 | 985.306-1003.878 | 1000.427-1018.9985 |
| 11 | D | 1075.111-1095.539 | 1083.837-1104.266 | 1100.47-1120.898 |
| 12 | D#/Eb | 1172.848-1195.134 | 1182.368-1204.653 | 1200.512-1222.798 |
| 13 | E | 1270.585-1294.728 | 1280.898-1305.041 | 1300.555-1324.698 |
| 14 | F | 1368.322-1394.322 | 1379.429-1405.429 | 1400.598-1426.598 |