User:Moremajorthanmajor/17edIX: Difference between revisions

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This scale, a Long Common Practice minor mode, It has the Grandfather 3L 5s MOS with a 4:1 ratio of large against small.
==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! rowspan="2" |Octatonic
! colspan="2" rowspan="2" |Octatonic
! colspan="3" |Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
! colspan="3" |Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
! colspan="2" |Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
! colspan="2" |Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
Line 16: Line 18:
|-
|-
| |1
| |1
|G
| |Gb
| |Gb
|70.588
|70.588
Line 24: Line 27:
|-
|-
| |2
| |2
|A\\
| |F#v/Gb^
| |F#v/Gb^
|141.1765
|141.1765
Line 32: Line 36:
|-
|-
| |3
| |3
|Gpv/A\\^
| |F#
| |F#
|211.765
|211.765
Line 40: Line 45:
|-
|-
| |4
| |4
|Gp
| |G
| |G
|282.353
|282.353
Line 48: Line 54:
|-
|-
| |5
| |5
|A
| |A
| |A
|352.941
|352.941
Line 56: Line 63:
|-
|-
| |6
| |6
|B
| |B
| |B
|423.529
|423.529
Line 64: Line 72:
|-
|-
| |7
| |7
|H
| |Hb
| |Hb
|494.118
|494.118
Line 73: Line 82:
|-
|-
| |8
| |8
|C\\
| |B#v/Hb^
| |B#v/Hb^
|564.706
|564.706
Line 81: Line 91:
|-
|-
| |9
| |9
|Hpv/C\\^
| |B#
| |B#
|635.294
|635.294
Line 89: Line 100:
|-
|-
| |10
| |10
|Hp
| |H
| |H
|705.882
|705.882
Line 97: Line 109:
|-
|-
| |11
| |11
|C
| |C
| |C
|776.471
|776.471
Line 105: Line 118:
|-
|-
| |12
| |12
|D
| |D
| |D
|847.059
|847.059
Line 113: Line 127:
|-
|-
| |13
| |13
|E
| |Eb
| |Eb
|917.647
|917.647
Line 121: Line 136:
|-
|-
|14
|14
|F\\
|D#v/Eb^
|D#v/Eb^
|988.235
|988.235
Line 129: Line 145:
|-
|-
|15
|15
|Epv/F\\^
|D#
|D#
|1058.8235
|1058.8235
Line 137: Line 154:
|-
|-
|16
|16
|Ep
|E
|E
|1129.412
|1129.412
Line 145: Line 163:
|-
|-
|17
|17
|F
| colspan="2" |F
|1200
|1200
|1248
|1248
Line 155: Line 173:
|-
|-
!Degrees
!Degrees
!Octatonic
! colspan="2" |Octatonic
!Phrygian Mode (natural minor)
!Phrygian Mode (natural minor)
!Phrygian-Aeolian Mode (intermediate minor)
!Phrygian-Aeolian Mode (intermediate minor)
Line 161: Line 179:
|-
|-
| |1
| |1
|G
| |Gb
| |Gb
|74.251
|74.251
Line 167: Line 186:
|-
|-
| |2
| |2
|A\\
| |F#v/Gb^
| |F#v/Gb^
|148.5025
|148.5025
Line 173: Line 193:
|-
|-
| |3
| |3
|Gpv/A\\^
| |F#
| |F#
|222.754
|222.754
Line 179: Line 200:
|-
|-
| |4
| |4
|Gp
| |G
| |G
|297.005
|297.005
Line 185: Line 207:
|-
|-
| |5
| |5
|A
| |A
| |A
|371.256
|371.256
Line 191: Line 214:
|-
|-
| |6
| |6
|B
| |B
| |B
|445.5075
|445.5075
Line 197: Line 221:
|-
|-
| |7
| |7
|H
| |Hb
| |Hb
|519.759
|519.759
Line 203: Line 228:
|-
|-
| |8
| |8
|C\\
| |B#v/Hb^
| |B#v/Hb^
|594.01
|594.01
Line 209: Line 235:
|-
|-
| |9
| |9
|Hpv/C\\^
| |B#
| |B#
|668.261
|668.261
Line 215: Line 242:
|-
|-
| |10
| |10
|Hp
| |H
| |H
|742.5125
|742.5125
Line 221: Line 249:
|-
|-
| |11
| |11
|C
| |C
| |C
|816.764
|816.764
Line 227: Line 256:
|-
|-
| |12
| |12
|D
| |D
| |D
|891.015
|891.015
Line 233: Line 263:
|-
|-
| |13
| |13
|E
| |Eb
| |Eb
|965.266
|965.266
Line 239: Line 270:
|-
|-
|14
|14
|F\\
|D#v/Eb^
|D#v/Eb^
|1039.518
|1039.518
Line 245: Line 277:
|-
|-
|15
|15
|Epv/F\\^
|D#
|D#
|1113.769
|1113.769
Line 251: Line 284:
|-
|-
|16
|16
|Ep
|E
|E
|1188.02
|1188.02
Line 257: Line 291:
|-
|-
|17
|17
|F
| colspan="2" |F
|1262.271
|1262.271
|1335.53
|1335.53
|1392.429
|1392.429
|}
|}

Revision as of 23:22, 21 October 2018

This scale, a Long Common Practice minor mode, It has the Grandfather 3L 5s MOS with a 4:1 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 Maximum Minimum Maximum Minimum Maximum
1 G Gb 70.588 73.412 77.647 80.672 84.706
2 A\\ F#v/Gb^ 141.1765 146.8235 155.294 161.3445 169.412
3 Gpv/A\\^ F# 211.765 220.235 232.941 242.017 254.118
4 Gp G 282.353 293.647 310.588 322.689 338.8235
5 A A 352.941 367.059 387.235 403.361 423.529
6 B B 423.529 440.471 464.822 484.034 508.235
7 H Hb 494.118 513.882 542.529 564.706 592.941
8 C\\ B#v/Hb^ 564.706 587.294 620.1765 645.378 677.647
9 Hpv/C\\^ B# 635.294 660.706 697.8235 726.05 762.653
10 Hp H 705.882 734.118 777.471 806.723 847.059
11 C C 776.471 807.526 855.118 887.395 931.765
12 D D 847.059 880.841 932.765 968.067 1016.471
13 E Eb 917.647 954.352 1010.412 1048.7395 1101.1765
14 F\\ D#v/Eb^ 988.235 1027.765 1088.059 1129.412 1185.882
15 Epv/F\\^ D# 1058.8235 1101.1765 1164.706 1210.084 1270.588
16 Ep E 1129.412 1174.588 1242.353 1290.756 1355.294
17 F 1200 1248 1320 1371.429 1440

Golden Tunings

Degrees Octatonic Phrygian Mode (natural minor) Phrygian-Aeolian Mode (intermediate minor) Aeolian Mode (melodic/harmonic minor)
1 G Gb 74.251 78.561 81.908
2 A\\ F#v/Gb^ 148.5025 157.121 163.815
3 Gpv/A\\^ F# 222.754 235.982 245.723
4 Gp G 297.005 314.242 327.63
5 A A 371.256 392.803 409.538
6 B B 445.5075 471.264 491.4455
7 H Hb 519.759 549.924 573.353
8 C\\ B#v/Hb^ 594.01 628.485 655.261
9 Hpv/C\\^ B# 668.261 707.0455 737.168
10 Hp H 742.5125 785.606 819.076
11 C C 816.764 864.168 900.983
12 D D 891.015 942.727 982.891
13 E Eb 965.266 1021.288 1064.799
14 F\\ D#v/Eb^ 1039.518 1099.849 1146.706
15 Epv/F\\^ D# 1113.769 1178.409 1228.614
16 Ep E 1188.02 1256.97 1310.521
17 F 1262.271 1335.53 1392.429
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