User:Moremajorthanmajor/9edIX: Difference between revisions

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==Intervals==
==Intervals==


Phrygian Mode (aka Double) Neapolitan Temperament
{| class="wikitable"
{| class="wikitable"
|-
|-
! | Degrees
! |Degrees
! | Minimum
! |Minimum
! | <span style="display: block; text-align: center;">Golden</span>
! |<span style="display: block; text-align: center;">Mean</span>
! | <span style="display: block; text-align: center;">Median</span>
! |<span style="display: block; text-align: center;">Median</span>
! | <span style="display: block; text-align: center;">Mean</span>
! |<span style="display: block; text-align: center;">Golden</span>
! | ed(9/4)
! |Maximum
! | Maximum
|-
|-
| | 1
| |1
| | 142.222
| rowspan="8"|see [[9edo]]
| | 145.259
| |140
| | 146.667
| |145.4545
| | 151.111
| |145.891
| | 155.99
| |146.667
| | 160
|-
|-
| | 2
| |2
| | 284.444
| |280
| | 290.518
| |290.909
| | 293.333
| |291.781
| | 302.222
| |293.333
| | 311.98
| | 320
|-
|-
| | 3
| |3
| | 426.667
| |420
| | 435.777
| |436.364
| | 440
| |437.672
| | 453.333
| |440
| | 467.97
| | 480
|-
|-
| | 4
| |4
| | 568.888
| |560
| | 581.036
| |581.818
| | 586.667
| |583.562
| | 604.444
| |586.667
| | 623.96
| | 640
|-
|-
| | 5
| |5
| | 711.111
| |700
| | 726.295
| |727.273
| | 733.333
| |729.543
| | 755.556
| |733.333
| | 779.95
| | 800
|-
|-
| | 6
| |6
| | 853.333
| |840
| | 871.554
| |872.727
| | 880
| |875.3435
| | 906.557
| |880
| | 935.94
| | 960
|-
|-
| | 7
| |7
| | 995.556
| |980
| | 1016.813
| |1018.182
| | 1036.667
| |1021.234
| | 1057.778
| |1026.667
| | 1091.93
| | 1120
|-
|-
| | 8
|8
| | 1137.778
|1120
| | 1162.072
|1163.636
| | 1183.333
|1167.125
| | 1208.889
|1177.333
| | 1247.92
| | 1280
|}
|}
 
Phrygian-Aeolian Mode Neapolitan Temperament
By coincidence, using an equivalence wider than 1350 cents is identical to repeating a fairly flat Napoli scale one tone later.
{| class="wikitable"
|-
! |Degrees
! |Minimum
! |<span style="display: block; text-align: center;">Golden</span>
! |<span style="display: block; text-align: center;">Mean</span>
! |<span style="display: block; text-align: center;">Median</span>
! |Maximum
|-
| |1
| |146.667
| |148.392
| |149.524
| |151.111
| |152.381
|-
| |2
|293.333
| |296.7845
| |299.048
| |302.222
|304.762
|-
| |3
|440
| |445.177
| |448.571
| |453.333
|457.143
|-
| |4
|586.667
| |593.5659
| |598.095
| |604.444
|609.524
|-
| |5
|733.333
| |741.961
| |747.619
| |755.556
|761.905
|-
| |6
|880
| |890.354
| |897.143
| |906.667
|914.286
|-
| |7
|1026.667
| |1038.746
| |1046.667
| |1057.778
|1066.667
|-
|8
|1177.333
|1187.138
|1196.1905
|1208.889
|1219.048
|}
Aeolian Mode Neapolitan Temperament
{| class="wikitable"
|-
! |Degrees
! |Minimum
! |<span style="display: block; text-align: center;">Golden</span>
! |<span style="display: block; text-align: center;">Median</span>
! |ed(9/4)
! |<span style="display: block; text-align: center;">Mean</span>
! |Maximum
|-
| |1
| |152.381
| |154.714
| |155.556
| |155.99
| |156.1905
| |160
|-
| |2
|304.762
| |308.429
| |311.111
| |311.98
| |312.381
|320
|-
| |3
|457.143
| |464.143
| |466.667
| |467.97
| |468.571
|480
|-
| |4
|609.524
| |618.857
| |622.222
| |623.96
| |624.762
|640
|-
| |5
|761.905
| |773.572
| |777.778
| |779.95
| |780.952
|800
|-
| |6
|914.286
| |928.286
| |933.333
| |935.94
| |937.143
|960
|-
| |7
|1066.667
| |1083
| |1088.889
| |1091.93
| |1093.333
|1120
|-
|8
|1219.048
|1237.715
|1244.444
|1247.92
|1249.524
|1280
|}By coincidence, using an equivalence wider than 1350 cents is identical to repeating a fairly flat Napoli scale one tone later.
[[Category:9-tone]]
[[Category:9-tone]]
[[Category:ed9/4]]
[[Category:ed9/4]]

Revision as of 18:28, 21 September 2018

This is the neutral scale of the Fujiyama temperament family.

Intervals

Phrygian Mode (aka Double) Neapolitan Temperament

Degrees Minimum Mean Median Golden Maximum
1 see 9edo 140 145.4545 145.891 146.667
2 280 290.909 291.781 293.333
3 420 436.364 437.672 440
4 560 581.818 583.562 586.667
5 700 727.273 729.543 733.333
6 840 872.727 875.3435 880
7 980 1018.182 1021.234 1026.667
8 1120 1163.636 1167.125 1177.333

Phrygian-Aeolian Mode Neapolitan Temperament

Degrees Minimum Golden Mean Median Maximum
1 146.667 148.392 149.524 151.111 152.381
2 293.333 296.7845 299.048 302.222 304.762
3 440 445.177 448.571 453.333 457.143
4 586.667 593.5659 598.095 604.444 609.524
5 733.333 741.961 747.619 755.556 761.905
6 880 890.354 897.143 906.667 914.286
7 1026.667 1038.746 1046.667 1057.778 1066.667
8 1177.333 1187.138 1196.1905 1208.889 1219.048

Aeolian Mode Neapolitan Temperament

Degrees Minimum Golden Median ed(9/4) Mean Maximum
1 152.381 154.714 155.556 155.99 156.1905 160
2 304.762 308.429 311.111 311.98 312.381 320
3 457.143 464.143 466.667 467.97 468.571 480
4 609.524 618.857 622.222 623.96 624.762 640
5 761.905 773.572 777.778 779.95 780.952 800
6 914.286 928.286 933.333 935.94 937.143 960
7 1066.667 1083 1088.889 1091.93 1093.333 1120
8 1219.048 1237.715 1244.444 1247.92 1249.524 1280

By coincidence, using an equivalence wider than 1350 cents is identical to repeating a fairly flat Napoli scale one tone later.

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