User:Moremajorthanmajor/8edIX: Difference between revisions

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==Intervals==
==Intervals==
Phrygian Mode (aka Double) Neapolitan Temperament
 
{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Degrees
! colspan="3" |Phrygian Mode (aka Double) Neapolitan Temperament
! colspan="2" |Phrygian-Aeolian Mode Neapolitan Temperament
! colspan="2" |Aeolian Mode Neapolitan Temperament
|-
|-
! |Degrees
!Absolute Minimum
! |Minimum
! |Minimum
! |<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;">Golden</span>
! |Maximum
! |Maximum
|-
| |1
|  rowspan="7"|see [[8edo]]
| |157.5
| |163.636
| |164.127
| |165
|-
| |2
| |315
| |327.273
| |328.254
| |330
|-
| |3
| |472.5
| |490.909
| |492.381
| |495
|-
| |4
| |630
| |654.5455
| |656.508
| |660
|-
| |5
| |787.5
| |818.181
| |820.6345
| |825
|-
| |6
| |945
| |981.818
| |984.7615
| |990
|-
| |7
| |1102.5
| |1145.4545
| |1148.888
| |1155
|}
Phrygian-Aeolian Mode Neapolitan Temperament
{| class="wikitable"
|-
! |Degrees
! |Minimum
! |Minimum
! |<span style="display: block; text-align: center;">Golden</span>
! |Maximum
! |<span style="display: block; text-align: center;">Mean</span>
!Minimum
! |<span style="display: block; text-align: center;">Median</span>
! |Maximum
! |Maximum
|-
|-
| |1
| |1
| |165
|150
| |166.941
|156
| |168.214
| colspan="2"|165
| |170
|  colspan="2"|171.429
|  rowspan="7"|see [[7edo]]
| |180
|-
|-
| |2
| |2
|330
|300
| |333.883
|312
| |336.429
| colspan="2"|330
| |340
| colspan="2"|342.857
| |360
|-
|-
| |3
| |3
|495
|450
| |500.824
|468
| |504.643
| colspan="2"|495
| |510
| colspan="2"|514.286
| |540
|-
|-
| |4
| |4
|660
|600
| |667.765
|624
| |672.857
| colspan="2"|660
| |680
| colspan="2"|685.714
| |720
|-
|-
| |5
| |5
|825
|750
| |834.7065
|780
| |841.071
| colspan="2"|825
| |850
| colspan="2"|857.143
| |900
|-
|-
| |6
| |6
|990
|900
| |1000.648
|936
| |1009.286
| colspan="2"|990
| |1020
| colspan="2"|1028.571
| |1080
|-
|-
| |7
| |7
|1155
|1050
| |1168.589
|1092
| |1177.5
| colspan="2"|1155
| |1190
| colspan="2"|1200
| |1260
|}
|}
Aeolian Mode Neapolitan Temperament
Golden Tunings
{| class="wikitable"
{| class="wikitable"
|-
|-
! |Degrees
! |Degrees
! |Minimum
! |Phrygian Mode
! |<span style="display: block; text-align: center;">Golden</span>
! |Phrygian-Aeolian Mode
! |<span style="display: block; text-align: center;">Median</span>
! |Aeolian Mode
! |<span style="display: block; text-align: center;">ed(9/4)</span>
! |<span style="display: block; text-align: center;">Mean</span>
! |Maximum
|-
|-
| |1
| |1
| rowspan="7"|see [[7edo]]
| |164.127
| |166.941
| |174.053
| |174.053
| |175
| |175.489
| |175.714
| |180
|-
|-
| |2
| |2
| |328.254
| |333.883
| |348.107
| |348.107
| |350
| |350.9775
| |351.429
|360
|-
|-
| |3
| |3
| |492.381
| |500.824
| |522.161
| |522.161
| |525
| |526.466
| |527.143
|540
|-
|-
| |4
| |4
| |656.508
| |667.765
| |696.2145
| |696.2145
| |700
| |701.955
| |702.857
|720
|-
|-
| |5
| |5
| |820.6345
| |834.7065
| |870.268
| |870.268
| |875
| |877.444
| |878.571
|900
|-
|-
| |6
| |6
| |984.7615
| |1000.648
| |1044.321
| |1044.321
| |1050
| |1052.9325
| |1054.286
|1080
|-
|-
| |7
| |7
| |1148.888
| |1168.589
| |1218.375
| |1218.375
| |1225
| |1228.421
| |1230
|1260
|}
|}
[[Category:8-tone]]
[[Category:8-tone]]
[[Category:ed9/4]]
[[Category:ed9/4]]

Revision as of 21:30, 21 October 2018

This is the neutral scale of the Napoli temperament family.

Intervals

Degrees Phrygian Mode (aka Double) Neapolitan Temperament Phrygian-Aeolian Mode Neapolitan Temperament Aeolian Mode Neapolitan Temperament
Absolute Minimum Minimum Maximum Minimum Maximum Minimum Maximum
1 150 156 165 171.429 180
2 300 312 330 342.857 360
3 450 468 495 514.286 540
4 600 624 660 685.714 720
5 750 780 825 857.143 900
6 900 936 990 1028.571 1080
7 1050 1092 1155 1200 1260

Golden Tunings

Degrees Phrygian Mode Phrygian-Aeolian Mode Aeolian Mode
1 164.127 166.941 174.053
2 328.254 333.883 348.107
3 492.381 500.824 522.161
4 656.508 667.765 696.2145
5 820.6345 834.7065 870.268
6 984.7615 1000.648 1044.321
7 1148.888 1168.589 1218.375
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