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| Line 45: |
Line 45: |
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| == Scales == | | == Scales == |
| | {{Main| Meantone scales }} |
| | |
| ; EDO tunings | | ; EDO tunings |
| * [[Meantone5]] – pentic scale in 31edo | | * [[Meantone5]] – pentic scale in 31edo |
| * [[Meantone7]] – diatonic scale in 19edo and 31edo | | * [[Meantone7]] – diatonic scale in 31edo |
| * [[Meantone12]] – chromatic scale in 31edo | | * [[Meantone12]] – chromatic scale in 31edo |
| ; Eigenmonzo (unchanged-interval) tunings | | ; Eigenmonzo (unchanged-interval) tunings |
| * [[Meanwoo12]] – chromatic scale in 5/4.7-eigenmonzo tuning | | * [[Meanwoo12]] – chromatic scale in 5/4.7-eigenmonzo tuning |
| * [[Meanwoo19]] – enharmonic scale in 5/4.7-eigenmonzo tuning | | * [[Meanwoo19]] – enharmonic scale in 5/4.7-eigenmonzo tuning |
| * [[Ratwolf]] – chromatic scale with 20/13 wolf fifth | | * [[Ratwolf]] – chromatic scale with 20/13 wolf fifth |
| ; Others | | ; Others |
| * [[Meaneb471a]] – chromatic scale in one equal beating tuning of ~3/1 and ~5/1 | | * [[Meaneb471a]] – chromatic scale in one equal beating tuning of ~3/1 and ~5/1 |
| * [[Meaneb471]] – chromatic scale in the other equal beating tuning of ~3/1 and ~5/1, also called "metameantone" | | * [[Meaneb471]] – chromatic scale in the other equal beating tuning of ~3/1 and ~5/1, also called "metameantone" |
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| == Tunings == | | == Tunings == |
| Line 546: |
Line 548: |
| === Other tunings === | | === Other tunings === |
| * [[DKW theory|DKW]] (2.3.5): ~2 = 1\1, ~3/2 = 696.353 | | * [[DKW theory|DKW]] (2.3.5): ~2 = 1\1, ~3/2 = 696.353 |
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| == Scales ==
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|
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| === 5-note Meantone scales ===
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| <pre>
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| ! meantone5.scl
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| !
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| Meantone[5] in 31edo tuning
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| 5
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| !
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| 193.54839
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| 387.09677
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| 696.77419
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| 890.32258
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| 2/1
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| </pre>Mode: 4|0
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|
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| Suggested keyboard mappings:
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| *Central C, providing C-G-D-A-E
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|
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| === 7-note Meantone scales ===
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| ! meantone7.scl
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| !
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| Meantone[7] in 31edo tuning
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| 7
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| !
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| 193.54839
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| 387.09677
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| 503.22581
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| 696.77419
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| 890.32258
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| 1083.87097
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| 2/1
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|
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| ! meantone7-19.scl
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| !
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| Meantone[7] in 19edo tuning
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| 7
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| !
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| 189.47368
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| 378.94737
| |
| 505.26316
| |
| 694.73684
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| 884.21053
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| 1073.68421
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| 2/1
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| Mode: 5|1 (Ionian, LLsLLLs)
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|
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| Suggested keyboard mappings:
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|
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| * Central C, providing notes from F through B.
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|
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| ==== Fifth-equivalent ====
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| <pre>
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| ! meantone-fifths7.scl
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| !
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| Meantone-fifths[7] fifths-repetition MOS, pure 2 and 5 (1/4 comma)
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| 7
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| !
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| 117.10786
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| 193.15686
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| 310.26471
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| 386.31371
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| 503.42157
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| 620.52943
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| 696.57843
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| </pre>
| |
|
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| === 12-note Meantone scales ===
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| <pre>
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| ! meantone12.scl
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| !
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| Meantone[12] in 31edo tuning
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| 12
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| !
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| 116.12903
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| 193.54839
| |
| 309.67742
| |
| 387.09677
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| 503.22581
| |
| 580.64516
| |
| 696.77419
| |
| 812.90323
| |
| 890.32258
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| 1006.45161
| |
| 1083.87097
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| 2/1
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| </pre>Mode: 5|6 (LsLsLsLLsLsL)
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|
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| Suggested keyboard mappings:
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| *Central G, providing notes from A♭ through C♯
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| *Central D, providing notes from E♭ through G♯
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| *Central A, providing notes from B♭ through D♯
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|
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| === 11-note Meantone scales (fifth-equivalent) ===
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| <pre>
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| ! meantone-fifths11.scl
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| !
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| Meantone-fifths[11] fifths-repetition MOS, pure 2 and 5 (1/4 comma)
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| 11
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| !
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| 76.04900
| |
| 117.10786
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| 193.15686
| |
| 269.20586
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| 310.26471
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| 386.31371
| |
| 427.37257
| |
| 503.42157
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| 579.47057
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| 620.52943
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| 696.57843
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| </pre>
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|
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| === 91edo Meantone scales ===
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|
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| ==== Meantone[43] ====
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| Is also [[Domineering]][43].
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| !
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| Rank 2 scale (698.9010989010989, 1200.)
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| 43
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| !
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| 13.186812
| |
| 79.120881
| |
| 92.307693
| |
| 105.494505
| |
| 118.681317
| |
| 184.615386
| |
| 197.802198
| |
| 210.989010
| |
| 276.923079
| |
| 290.109891
| |
| 303.296703
| |
| 316.483515
| |
| 382.417584
| |
| 395.604396
| |
| 408.791208
| |
| 421.978020
| |
| 487.912089
| |
| 501.098901
| |
| 514.285713
| |
| 580.219782
| |
| 593.406594
| |
| 606.593406
| |
| 619.780218
| |
| 685.714287
| |
| 698.901099
| |
| 712.087911
| |
| 778.021980
| |
| 791.208792
| |
| 804.395604
| |
| 817.582416
| |
| 883.516485
| |
| 896.703297
| |
| 909.890109
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| 923.076921
| |
| 989.010990
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| 1002.197802
| |
| 1015.384614
| |
| 1081.318683
| |
| 1094.505495
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| 1107.692307
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| 1120.879119
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| 1186.813188
| |
| 1200.
| |
| '''Meantone[55]'''
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|
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| Is also [[Domineering]][55].<pre>
| |
| !
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| Rank 2 scale (698.9010989010989, 1200.)
| |
| 55
| |
| !
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| 13.186812
| |
| 26.373624
| |
| 79.120881
| |
| 92.307693
| |
| 105.494505
| |
| 118.681317
| |
| 171.428574
| |
| 184.615386
| |
| 197.802198
| |
| 210.989010
| |
| 224.175822
| |
| 276.923079
| |
| 290.109891
| |
| 303.296703
| |
| 316.483515
| |
| 329.670327
| |
| 382.417584
| |
| 395.604396
| |
| 408.791208
| |
| 421.978020
| |
| 474.725277
| |
| 487.912089
| |
| 501.098901
| |
| 514.285713
| |
| 527.472525
| |
| 580.219782
| |
| 593.406594
| |
| 606.593406
| |
| 619.780218
| |
| 672.527475
| |
| 685.714287
| |
| 698.901099
| |
| 712.087911
| |
| 725.274723
| |
| 778.021980
| |
| 791.208792
| |
| 804.395604
| |
| 817.582416
| |
| 870.329673
| |
| 883.516485
| |
| 896.703297
| |
| 909.890109
| |
| 923.076921
| |
| 975.824178
| |
| 989.010990
| |
| 1002.197802
| |
| 1015.384614
| |
| 1028.571426
| |
| 1081.318683
| |
| 1094.505495
| |
| 1107.692307
| |
| 1120.879119
| |
| 1173.626376
| |
| 1186.813188
| |
| 1200.
| |
| </pre>
| |
| ====Subsets====
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| *[[5- to 10-tone scales in 91edo#Meantone]]
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| *[[Lost spirit]]
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| *[[Blackened skies]]
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|
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| === Tempered-octave scales ===
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|
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| ==== 12 notes ====
| |
| <pre>
| |
| ! meanwoo12.scl
| |
| !
| |
| [5/4 7] eigenmonzo meantone, Eb to G# gamut
| |
| 12
| |
| !
| |
| 75.28859
| |
| 193.15686
| |
| 311.02512
| |
| 386.31371
| |
| 504.18198
| |
| 579.47057
| |
| 697.33883
| |
| 772.62743
| |
| 890.49569
| |
| 1008.36395
| |
| 1083.65255
| |
| 1201.52081
| |
| </pre>Mode: 3|8 (sLLsLsLsLLsL)
| |
|
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| Suggested keyboard mappings:
| |
| *Central C, providing notes from Eb to G#.
| |
|
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| ==== 19 notes ====
| |
| <pre>
| |
| ! meanwoo19.scl
| |
| !
| |
| [5/4 7] eigenmonzo meantone, Gb to B# gamut
| |
| 19
| |
| !
| |
| 75.28859
| |
| 117.86826
| |
| 193.15686
| |
| 268.44545
| |
| 311.02512
| |
| 386.31371
| |
| 461.60231
| |
| 504.18198
| |
| 579.47057
| |
| 622.05024
| |
| 697.33883
| |
| 772.62743
| |
| 815.20710
| |
| 890.49569
| |
| 965.78428
| |
| 1008.36395
| |
| 1083.65255
| |
| 1158.94114
| |
| 1201.52081
| |
| </pre>
| |
|
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| == Music == | | == Music == |