User:Moremajorthanmajor/9edIX: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Line 3: Line 3:
==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="8"|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
{| 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
| |146.667
|133.333
| |148.392
| |138.667
| |149.524
| colspan="2"|146.667
| |151.111
| colspan="2"|152.381
| |152.381
| |160
|-
|-
| |2
| |2
|293.333
|266.667
| |296.7845
|277.333
| |299.048
| colspan="2"|293.333
| |302.222
| colspan="2"|304.762
|304.762
|320
|-
|-
| |3
| |3
|440
|400
| |445.177
|416
| |448.571
| colspan="2"|440
| |453.333
| colspan="2"|457.143
|457.143
|480
|-
|-
| |4
| |4
|586.667
|566.667
| |593.5659
|554.667
| |598.095
| colspan="2"|586.667
| |604.444
| colspan="2"|609.524
|609.524
|640
|-
|-
| |5
| |5
|733.333
|633.333
| |741.961
|693.333
| |747.619
| colspan="2"|733.333
| |755.556
| colspan="2"|761.905
|761.905
|800
|-
|-
| |6
| |6
|880
|800
| |890.354
|832
| |897.143
| colspan="2"|880
| |906.667
| colspan="2"|914.286
|914.286
|960
|-
|-
| |7
| |7
|1026.667
|933.333
| |1038.746
|970.667
| |1046.667
| colspan="2"|1026.667
| |1057.778
| colspan="2"|1066.667
|1066.667
|1120
|-
|-
|8
|8
|1177.333
|1066.667
|1187.138
|1109.333
|1196.1905
| colspan="2" |1177.333
|1208.889
| colspan="2" |1219.048
|1219.048
|1280
|}
|}Golden Tunings
Aeolian Mode Neapolitan Temperament
{| 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
! |ed(9/4)
! |<span style="display: block; text-align: center;">Mean</span>
! |Maximum
|-
|-
| |1
| |1
| |152.381
| |145.891
| |148.392
| |154.714
| |154.714
| |155.556
| |155.99
| |156.1905
| |160
|-
|-
| |2
| |2
|304.762
| |291.781
| |296.7845
| |308.429
| |308.429
| |311.111
| |311.98
| |312.381
|320
|-
|-
| |3
| |3
|457.143
| |437.672
| |445.177
| |464.143
| |464.143
| |466.667
| |467.97
| |468.571
|480
|-
|-
| |4
| |4
|609.524
| |583.562
| |593.5659
| |618.857
| |618.857
| |622.222
| |623.96
| |624.762
|640
|-
|-
| |5
| |5
|761.905
| |729.543
| |741.961
| |773.572
| |773.572
| |777.778
| |779.95
| |780.952
|800
|-
|-
| |6
| |6
|914.286
| |875.3435
| |890.354
| |928.286
| |928.286
| |933.333
| |935.94
| |937.143
|960
|-
|-
| |7
| |7
|1066.667
| |1021.234
| |1038.746
| |1083
| |1083
| |1088.889
| |1091.93
| |1093.333
|1120
|-
|-
|8
|8
|1219.048
|1167.125
|1187.138
|1237.715
|1237.715
|1244.444
|}
|1247.92
 
|1249.524
By coincidence, using an equivalence wider than 1350 cents is identical to repeating a fairly flat Napoli scale one tone later.
|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 21:46, 21 October 2018

This is the neutral scale of the Fujiyama 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
1 133.333 138.667 146.667 152.381 160
2 266.667 277.333 293.333 304.762 320
3 400 416 440 457.143 480
4 566.667 554.667 586.667 609.524 640
5 633.333 693.333 733.333 761.905 800
6 800 832 880 914.286 960
7 933.333 970.667 1026.667 1066.667 1120
8 1066.667 1109.333 1177.333 1219.048 1280

Golden Tunings

Degrees Phrygian Mode Phrygian-Aeolian Mode Aeolian Mode
1 145.891 148.392 154.714
2 291.781 296.7845 308.429
3 437.672 445.177 464.143
4 583.562 593.5659 618.857
5 729.543 741.961 773.572
6 875.3435 890.354 928.286
7 1021.234 1038.746 1083
8 1167.125 1187.138 1237.715

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

Retrieved from "https://en.xen.wiki/index.php?title=User:Moremajorthanmajor/9edIX&oldid=37446"