Xenharmonic Wiki

User:Moremajorthanmajor/17edIX: Difference between revisions

← Older edit
VisualWikitext
Sintel (talk | contribs)
autopatrolled, emailconfirmed
1,629 edits
No edit summary
 
(5 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{delete}}
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 [[Ragismic microtemperaments #Chlorine|Chlorine]] temperament.
This scale, a Long Common Practice minor mode, has the Grandfather 3L 5s MOS with a 4:1 ratio of large against small.
== Intervals==
 
==Intervals==
{| class="wikitable"
{| class="wikitable"
! rowspan="4" |Degrees
|+
! colspan="3" rowspan="3" |Octatonic
!Nonet
! colspan="3" |Soft Phrygian
!Period
! colspan="6" |Phrygian
!Notes
|-
|-
! rowspan="3" |Minimum-comma
|1/1
! rowspan="3" |Median
|''70.588''
! rowspan="3" |Maximum+comma
|Soft Phrygian mode begins
! colspan="3" |Thirdtone
! colspan="3" |Semitone
|-
|-
! rowspan="2" |Minimum-comma
|25\24
! rowspan="2" |Median
|''73.529''
! colspan="2" rowspan="2" |Maximum+comma~Minimum-comma
|
! rowspan="2" |Median
! rowspan="2" |Maximum+comma
|-
|-
! colspan="2" |Natural
|24\23
!Subset of 34edn
|73.657
|
|-
|-
| |1
|23\22
|A
| |Ab
|Ab
|68.235-''70.588''
|73.797
|73.797
| colspan="2" |71.597-76.3025
|
|74.51-74.622
| colspan="2" |72.941-77.983
|76.235-''76.471''
|77.647-80
|-
|-
| |2
|22\21
|B\\
|73.950
| |G#v/Ab^
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
|G#^
|136.471-''141.1765''
|147.594
| colspan="2" |143.193-152.605
|149.02-149.244
| colspan="2" |145.882-155.966
|152.471-''152.941''
|155.294-160
|-
|-
| |3
| 21\20
|Apv/B\\^
|74.118
| |G#
|
|Bbv
|204.706-''211.765''
|221.39
| colspan="2" |214.79-228.908
|223.529-213.8655
| colspan="2" |218.8235-233.95
|228.706-''229.1765''
|232.941-240
|-
|-
| |4
|20\19
|Ap
|74.303
| |A
|
|Bb
|272.941-''282.353''
|295.187
| colspan="2" |286.386-305.21
|298.039-298.487
| colspan="2" |291.765-311.933
|304.941-''305.647''
|310.588-320
|-
|-
| |5
|19\18
| colspan="3" |B
|74.510
|341.1765-''352.941''
|
|368.984
| colspan="2" |357.983-381.513
|372.549-373.109
| colspan="2" |364.706-389.916
|381.1765-''382.118''
|387.235-400
|-
|-
| |6
|37\35
| colspan="2" |C
|74.622
|Cb
|
|409.412-''423.529''
|442.781
| colspan="2" |429.58-457.815
|447.059-447.731
| colspan="2" |437.647-467.899
|457.412-''458.588''
|464.882-480
|-
|-
| |7
|18\17
|Q
|74.740
| |Qb
|
|B#^
|477.647-''494.118''
|516.5775
| colspan="2" |501.1765-534.118
|521.569-522.353
| colspan="2" |510.588-545.882
|533.647-''535.294''
|542.529-560
|-
|-
| |8
|17\16
|D\\
|75.000
| |C#v/Qb^
|
|C^
|545.882-''564.706''
|590.374
| colspan="2" |572.773-610.42
|596.078-596.975
| colspan="2" |583.529-623.8655
|609.882-''611.235''
|620.1765-640
|-
|-
| |9
|16\15
|Qpv/D\\^
|75.294
| |C#
|Thirdtone Phrygian mode ends
|Q^
|614.118-''635.294''
|664.171
| colspan="2" |644.37-686.723
|670.588-671.597
| colspan="2" |656.471-701.849
|686.118-''688.765''
|697.8235-720
|-
|-
| |10
|15\14
|Qp
|75.630
| |Q
|Semitone Phrygian mode begins
|Db
|682.353-''705.882''
|737.97
| colspan="2" |715.966-763.025
|745.098-746.2185
| colspan="2" |729.412-779.832
|762.353-''764.706''
|777.471-800
|-
|-
| |11
|14\13
| colspan="3" |D
|76.018
|750.588-''776.471''
|
|811.765
| colspan="2" |787.563-839.328
|819.608-820.84
| colspan="2" |802.353-857.815
|838.588-''841.412''
|855.118-880
|-
|-
| |12
|27\25
| colspan="2" |E
|76.235
|Eb
|
|818.8235-''847.059''
|885.5616
| colspan="2" |859.16-915.63
|894.118-895.462
| colspan="2" |875.294-935.798
|914.8235-''917.882''
|932.765-960
|-
|-
| |13
|13\12
|F
|''76.471''
| |Fb
|
|D#^
|887.059-''917.647''
|959.358
| colspan="2" |930.756-991.933
|968.6275-970.084
| colspan="2" |948.235-1013.7815
|991.059-''994.353''
|1010.412-1040
|-
|-
|14
|12\11
|F\\
|77.005
|E#v/Fb^
|
|Fbv
|955.294-''988.235''
|1033.155
| colspan="2" |1002.353-1068.235
|1043.137-1044.706
| colspan="2" |1021.1765-1091.765
|1067.294-''1080.8235''
|1088.059-1120
|-
|-
|15
|11\10
|Fpv/G\\^
|77.647
|E#
|Semitone Phrygian mode ends, Intense Phrygian mode begins
|Fb
|1023.529-''1058.8235''
|1106.952
| colspan="2" |1073.95-1144.538
|1117.647-1119.328
| colspan="2" |1094.118-1169.747
|1143.529-''1147.059''
|1164.706-1200
|-
|-
|16
|21\19
|Fp
| 78.019
| colspan="2" |F
|
|1091.765-''1129.412''
|1180.749
| colspan="2" |1145.546-1220.84
|1192.156-1193.95
| colspan="2" |1167.059-1247.731
|1219.765-''1223.529''
|1242.353-1280
|-
|-
|17
|10\9
| colspan="3" |G
|78.431
|1160-''1200''
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
|1254.5455
| colspan="2" |1217.143-1297.143
|1266.667-1268.571
| colspan="2" |1240-1325.714
|1296-''1300''
|1320-1360
|}
{| class="wikitable"
|-
|-
! rowspan="3" |Degrees
|19\17
! colspan="6" rowspan="2" |Octatonic
|78.893
! colspan="3" |Intense Phrygian
|
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="4" |Soft Aeolian
|-
|-
! rowspan="2" |Minimum-comma
|9\8
! rowspan="2" |Median
! colspan="2" rowspan="2" |Maximum+comma~Minimum-comma
! rowspan="2" |Median
! colspan="2" rowspan="2" |Maximum+comma~Minimum-comma
! rowspan="2" |''r¢''
! rowspan="2" |Median
! rowspan="2" |Maximum+comma
|-
! colspan="4" |Natural
! colspan="2" |Subset of 34edn
|-
|1
|G
|Gb
|A
|Ab
|Gb
|Ab
|75.294-77.647
|78.019
| colspan="2" |76.078-80.784
|78.893
| colspan="2" |77.059-81.765
|''79.412''
|''79.412''
|80
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
|80.672-83.025
|-
|-
|2
|17\15
|A\\
|80.000
|F#v/Gb^
|
|B\\
|G#v/Ab^
|F#^
|G#^
|150.588-155.294
|156.037
| colspan="2" |152.157-161.567
|157.7855
| colspan="2" |154.118-163.529
|''158.8235''
|160
|161.3445-166.05
|-
|-
|3
|8\7
|Gpv/A\\^
|80.672
|F#
|Soft Aeolian mode ends, Flattone Aeolian mode begins
|Apv/B\\^
|G#
|Abv
|Bbv
|225.882-232.941
|234.056
| colspan="2" |228.235-242.353
|236.678
| colspan="2" |231.1765-245.294
|''238.235''
|240
|242.017-249.076
|-
|-
|4
|15\13
|Gp
|81.448
|G
|
|Ap
|A
|Ab
|Bb
|301.1765-310.588
|312.074
| colspan="2" |304.314-323.137
|315.571
| colspan="2" |308.235-327.059
|''317.647''
|320
|322.689-332.101
|-
|-
|5
|22\19
| colspan="2" |A
|81.734
| colspan="2" |B
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
|A
|B
|376.471-387.235
|390.093
| colspan="2" |380.392-403.922
|394.464
| colspan="2" |385.294-408.8235
|''397.058''
|400
|403.361-415.126
|-
|-
|6
|29\25
| colspan="2" |B
|81.882
| colspan="2" |C
|
|Bb
|Cb
|451.765-464.822
|468.1115
| colspan="2" |456.471-484.706
|473.356
| colspan="2" |462.353-490.588
|''476.471''
|480
|484.034-498.151
|-
|-
|7
|7\6
|H
|''82.353''
|Hb
|Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
|Q
|Qb
|A#^
|B#^
|527.059-542.529
|546.13
| colspan="2" |532.549-565.49
|552.249
| colspan="2" |539.412-572.353
|''555.882''
|560
|564.706-581.1765
|-
|8
|C\\
|B#v/Hb^
|D\\
|C#v/Qb^
|B^
|C^
|602.353-620.1765
|624.149
| colspan="2" |608.6275-646.2745
|651.142
| colspan="2" |616.471-654.118
|''635.294''
|640
|645.378-664.202
|-
|9
|Hpv/C\\^
|B#
|Qpv/D\\^
|C#
|H^
|Q^
|677.647-697.8235
|702.167
| colspan="2" |684.706-727.059
|710.035
| colspan="2" |693.529-735.882
|''714.706''
|720
|726.05-747.227
|-
|10
|Hp
|H
|Qp
|Q
|Cb
|Db
|752.353-777.471
|780.186
| colspan="2" |760.784-807.843
|788.927
| colspan="2" |770.588-817.647
|''794.118''
|800
|806.723-830.252
|-
|11
| colspan="2" |C
| colspan="2" |D
|C
|D
|828.235-855.118
|858.204
| colspan="2" |836.862-888.6275
|867.82
| colspan="2" |847.647-899.412
|''873.529''
|880
|887.395-913.277
|-
|12
| colspan="2" |D
| colspan="2" |E
|Db
|Eb
|903.529-932.765
|936.223
| colspan="2" |912.941-968.412
|946.713
| colspan="2" |924.706-981.1765
|''952.941''
|960
|968.067-996.3025
|-
|13
|E
|Eb
|F
|Fb
|C#^
|D#^
|978.8235-1010.412
|1014.2415
| colspan="2" |989.02-1050.196
|1025.6055
| colspan="2" |1001.765-1062.941
|''1032.353''
|1040
|1048.7395-1079.328
|-
|14
|F\\
|D#v/Eb^
|F\\
|E#v/Fb^
|Ebv
|Fbv
|1055.118-1088.059
|1092.26
| colspan="2" |1065.098-1130.98
|1104.598
| colspan="2" |1078.8235-1144.706
|''1111.765''
|1120
|1129.412-1162.353
|-
|15
|Epv/F\\^
|D#
|Fpv/G\\^
|E#
|Eb
|Fb
|1129.412-1164.706
|1170.028
| colspan="2" |1141.1765-1210.765
|1183.391
| colspan="2" |1155.882-1226.471
|''1191.1765''
|1200
|1210.084-1245.378
|-
|16
|Ep
|E
|Fp
|F
|E
|F
|1204.706-1242.353
|1248.297
| colspan="2" |1217.255-1292.549
|1262.284
| colspan="2" |1232.941-1308.235
|''1270.588''
|1280
|1290.756-1328.403
|-
|17
| colspan="2" |F
| colspan="2" |G
|F
|G
|1280-1320
|1326.316
| colspan="2" |1293.333-1373.333
|1341.1765
| colspan="2" |1310-1390
|''1350''
|1360
|1371.429-1411.429
|}
{| class="wikitable"
! rowspan="4" |Degrees
! colspan="3" rowspan="3" |Octatonic
! colspan="6" |Aeolian
! colspan="7" |Intense Aeolian
|-
! colspan="3" |Flattone
! colspan="3" |Meantone
! colspan="4" |Superpyth
! colspan="3" |Ultrapyth
|-
|-
! rowspan="2" |Minimum-comma
|20\17
! rowspan="2" |Median
! colspan="2" rowspan="2" |Maximum+comma~Minimum-comma
! rowspan="2" |Median
! colspan="2" rowspan="2" |Maximum+comma~Minimum-comma
! rowspan="2" |''r¢''
! rowspan="2" |Median
! colspan="2" rowspan="2" |Maximum+comma~Minimum-comma
! rowspan="2" |Median
! rowspan="2" |Maximum+comma
|-
! colspan="2" |Natural
!Subset of 34edn
|-
|1
|G
|Gb
|Gb
|78.319-80.672
|81.448
| colspan="2" |79.381-84.087
|81.882
| colspan="2" |80-84.706
|''82.353''
|83.045
|83.045
| colspan="2" |81.0695-85.775
|
|83.8235
|84.706-87.059
|-
|2
|A\\
|F#v/Gb^
|F#^
|156.637-161.3445
|162.896
| colspan="2" |158.761-169.173
|163.765
| colspan="2" |160-169.412
|''164.706''
|166.09
| colspan="2" |162.139-171.551
|167.647
|169.412-174.118
|-
|3
|Gpv/A\\^
|F#
|Abv
|234.958-242.017
|244.344
| colspan="2" |238.142-252.26
|245.647
| colspan="2" |240-254.118
|''247.059''
|249.135
| colspan="2" |243.209-257.326
|251.471
|254.118-261.1765
|-
|4
|Gp
|G
|Ab
|313.277-322.689
|325.792
| colspan="2" |317.523-336.347
|327.529
| colspan="2" |320-338.8235
|''329.412''
|332.18
| colspan="2" |324.278-343.102
|335.294
|338.8235-348.235
|-
|5
| colspan="3" |A
|391.597-403.361
|407.24
| colspan="2" |396.904-420.433
|409.412
| colspan="2" |400-423.529
|''411.765''
|415.225
| colspan="2" |405.348-428.877
|419.118
|423.529-435.294
|-
|6
| colspan="2" |B
|Bb
|469.916-484.034
|488.688
| colspan="2" |476.285-504.52
|491.294
| colspan="2" |480-508.235
|''494.118''
|498.27
| colspan="2" |486.417-514.652
|502.941
|508.235-522.353
|-
|7
|H
|Hb
|A#^
|548.235-564.706
|570.136
| colspan="2" |555.666-588.607
|573.1765
| colspan="2" |560-592.941
|''576.471''
|581.315
| colspan="2" |567.487-600.428
|586.768
|592.941-609.412
|-
|8
|C\\
|B#v/Hb^
|B^
|626.555-645.378
|651.584
| colspan="2" |635.046-672.6935
|655.059
| colspan="2" |640-677.647
|''658.8235''
|664.36
| colspan="2" |648.556-686.203
|670.588
|677.647-696.471
|-
|9
|Hpv/C\\^
|B#
|H^
|704.874-726.05
|733.032
| colspan="2" |714.427-756.78
|736.941
| colspan="2" |720-762.353
|''741.1765''
|747.405
| colspan="2" |729.626-771.979
|754.412
|762.653-783.529
|-
|10
|Hp
|H
|Cb
|783.193-806.723
|814.48
| colspan="2" |793.808-840.867
|818.8235
| colspan="2" |800-847.059
|''823.529''
|830.45
| colspan="2" |810.695-857.754
|838.235
|847.059-870.588
|-
|11
| colspan="3" |C
|861.513-887.395
|895.928
| colspan="2" |873.189-924.954
|900.706
| colspan="2" |880-931.765
|''905.882''
|913.495
| colspan="2" |891.765-943.529
|922.059
|931.765-957.647
|-
|12
| colspan="2" |D
|Db
|939.831-968.067
|977.376
| colspan="2" |952.57-1009.04
|982.588
| colspan="2" |960-1016.471
|''988.235''
|996.54
| colspan="2" |972.834-1029.305
|1005.882
|1016.471-1044.706
|-
|13
|E
|Eb
|C#^
|1018.151-1048.7395
|1058.8235
| colspan="2" |1031.9505-1093.127
|1064.471
| colspan="2" |1040-1101.1765
|''1070.588''
|1079.585
| colspan="2" |1053.904-1115.08
|1089.706
|1101.1765-1131.765
|-
|14
|F\\
|D#v/Eb^
|Ebv
|1096.471-1129.412
|1140.2715
| colspan="2" |1111.331-1177.214
|1146.353
| colspan="2" |1120-1185.882
|''1152.941''
|1162.63
| colspan="2" |1134.973-1200.856
|1173.529
|1185.882-1218.8235
|-
|-
|15
|13\11
|Epv/F\\^
|83.422
|D#
|Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
|Eb
|1174.79-1210.084
|1221.7195
| colspan="2" |1190.712-1261.3
|1228.235
| colspan="2" |1200-1270.588
|''1233.294''
|1245.675
| colspan="2" |1216.043-1286.631
|1257.353
|1270.588-1305.882
|-
|-
|16
|19\16
|Ep
|83.824
| colspan="2" |E
|
|1253.109-1290.756
|1303.167
| colspan="2" |1270.093-1345.39
|1310.118
| colspan="2" |1280-1355.294
|''1317.647''
|1328.72
| colspan="2" |1297.112-1372.406
|1341.1765
|1355.294-1392.941
|-
|-
|17
|6\5
| colspan="3" |F
|84.706
|1331.429-1371.429
|Ultrapyth Intense Aeolian mode ends
|1384.615
|}Golden/Pyrite Tunings±13¢
| colspan="2" |1349.474-1429.474
|1392
| colspan="2" |1360-1440
|''1400''
|1411.765
| colspan="2" |1378.182-1458.182
|1425
|1440-1480
|}
Golden/Pyrite Tunings±13¢


{| class="wikitable"
{| class="wikitable"
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/17edIX"