User:Moremajorthanmajor/9edIX: Difference between revisions

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Line 5: Line 5:
{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! colspan="3" |Phrygian Mode (aka Double) Neapolitan Temperament
! colspan="3" |Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
! colspan="2" |Phrygian-Aeolian Mode Neapolitan Temperament
! colspan="2" |Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
! colspan="2" |Aeolian Mode Neapolitan Temperament
! colspan="2" |Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
|-
|-
!Absolute Minimum
!Absolute Minimum
Line 20: Line 20:
|133.333
|133.333
| |138.667
| |138.667
| colspan="2"|146.667
| colspan="2" |146.667
| colspan="2"|152.381
| colspan="2" |152.381
| |160
| |160
|-
|-
Line 27: Line 27:
|266.667
|266.667
|277.333
|277.333
| colspan="2"|293.333
| colspan="2" |293.333
| colspan="2"|304.762
| colspan="2" |304.762
|320
|320
|-
|-
Line 34: Line 34:
|400
|400
|416
|416
| colspan="2"|440
| colspan="2" |440
| colspan="2"|457.143
| colspan="2" |457.143
|480
|480
|-
|-
Line 41: Line 41:
|566.667
|566.667
|554.667
|554.667
| colspan="2"|586.667
| colspan="2" |586.667
| colspan="2"|609.524
| colspan="2" |609.524
|640
|640
|-
|-
Line 48: Line 48:
|633.333
|633.333
|693.333
|693.333
| colspan="2"|733.333
| colspan="2" |733.333
| colspan="2"|761.905
| colspan="2" |761.905
|800
|800
|-
|-
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|800
|800
|832
|832
| colspan="2"|880
| colspan="2" |880
| colspan="2"|914.286
| colspan="2" |914.286
|960
|960
|-
|-
Line 62: Line 62:
|933.333
|933.333
|970.667
|970.667
| colspan="2"|1026.667
| colspan="2" |1026.667
| colspan="2"|1066.667
| colspan="2" |1066.667
|1120
|1120
|-
|-
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|-
|-
! |Degrees
! |Degrees
! |Phrygian Mode
! |Phrygian Mode (natural minor)
! |Phrygian-Aeolian Mode
! |Phrygian-Aeolian Mode (intermediate minor)
! |Aeolian Mode
! |Aeolian Mode (melodic/harmonic minor)
|-
|-
| |1
| |1

Revision as of 22:03, 21 October 2018

This is the neutral scale of the Fujiyama temperament family.

Intervals

Degrees 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
1 133.333 138.667 146.667 152.381 160
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 (natural minor) Phrygian-Aeolian Mode (intermediate minor) Aeolian Mode (melodic/harmonic minor)
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.