Meantone scales: Difference between revisions
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| Line 4: | Line 4: | ||
! meantone5.scl | ! meantone5.scl | ||
! | ! | ||
Meantone[5] in 31edo tuning | Meantone[5] in 31edo tuning | ||
5 | 5 | ||
! | ! | ||
193.54839 | 193.54839 | ||
387.09677 | 387.09677 | ||
696.77419 | 696.77419 | ||
890.32258 | 890.32258 | ||
2/1 | 2/1 | ||
</pre> | </pre> | ||
| Line 24: | Line 24: | ||
! meantone7.scl | ! meantone7.scl | ||
! | ! | ||
Meantone[7] in 31edo tuning | Meantone[7] in 31edo tuning | ||
7 | 7 | ||
! | ! | ||
193.54839 | 193.54839 | ||
387.09677 | 387.09677 | ||
503.22581 | 503.22581 | ||
696.77419 | 696.77419 | ||
890.32258 | 890.32258 | ||
1083.87097 | 1083.87097 | ||
2/1 | 2/1 | ||
</pre> | </pre> | ||
| Line 40: | Line 40: | ||
! meantone7-19.scl | ! meantone7-19.scl | ||
! | ! | ||
Meantone[7] in 19edo tuning | Meantone[7] in 19edo tuning | ||
7 | 7 | ||
! | ! | ||
189.47368 | 189.47368 | ||
378.94737 | 378.94737 | ||
505.26316 | 505.26316 | ||
694.73684 | 694.73684 | ||
884.21053 | 884.21053 | ||
1073.68421 | 1073.68421 | ||
2/1 | 2/1 | ||
</pre> | </pre> | ||
| Line 65: | Line 65: | ||
12 | 12 | ||
! | ! | ||
116.12903 | 116.12903 | ||
193.54839 | 193.54839 | ||
309.67742 | 309.67742 | ||
387.09677 | 387.09677 | ||
503.22581 | 503.22581 | ||
580.64516 | 580.64516 | ||
696.77419 | 696.77419 | ||
812.90323 | 812.90323 | ||
890.32258 | 890.32258 | ||
1006.45161 | 1006.45161 | ||
1083.87097 | 1083.87097 | ||
2/1 | 2/1 | ||
</pre> | </pre> | ||
| Line 90: | Line 90: | ||
! meanwoo12.scl | ! meanwoo12.scl | ||
! | ! | ||
[5/4 7] eigenmonzo meantone, Eb to G# gamut | [5/4 7] eigenmonzo meantone, Eb to G# gamut | ||
12 | 12 | ||
! | ! | ||
75.28859 | 75.28859 | ||
193.15686 | 193.15686 | ||
311.02512 | 311.02512 | ||
386.31371 | 386.31371 | ||
504.18198 | 504.18198 | ||
579.47057 | 579.47057 | ||
697.33883 | 697.33883 | ||
772.62743 | 772.62743 | ||
890.49569 | 890.49569 | ||
1008.36395 | 1008.36395 | ||
1083.65255 | 1083.65255 | ||
1201.52081 | 1201.52081 | ||
</pre> | </pre> | ||
| Line 116: | Line 116: | ||
! meantone-fifths7.scl | ! meantone-fifths7.scl | ||
! | ! | ||
Meantone-fifths[7] fifths-repetition MOS, pure 2 and 5 (1/4 comma) | Meantone-fifths[7] fifths-repetition MOS, pure 2 and 5 (1/4 comma) | ||
7 | 7 | ||
! | ! | ||
117.10786 | 117.10786 | ||
193.15686 | 193.15686 | ||
310.26471 | 310.26471 | ||
386.31371 | 386.31371 | ||
503.42157 | 503.42157 | ||
620.52943 | 620.52943 | ||
696.57843 | 696.57843 | ||
</pre> | </pre> | ||
| Line 133: | Line 133: | ||
! meanwoo19.scl | ! meanwoo19.scl | ||
! | ! | ||
[5/4 7] eigenmonzo meantone, Gb to B# gamut | [5/4 7] eigenmonzo meantone, Gb to B# gamut | ||
19 | 19 | ||
! | ! | ||
75.28859 | 75.28859 | ||
117.86826 | 117.86826 | ||
193.15686 | 193.15686 | ||
268.44545 | 268.44545 | ||
311.02512 | 311.02512 | ||
386.31371 | 386.31371 | ||
461.60231 | 461.60231 | ||
504.18198 | 504.18198 | ||
579.47057 | 579.47057 | ||
622.05024 | 622.05024 | ||
697.33883 | 697.33883 | ||
772.62743 | 772.62743 | ||
815.20710 | 815.20710 | ||
890.49569 | 890.49569 | ||
965.78428 | 965.78428 | ||
1008.36395 | 1008.36395 | ||
1083.65255 | 1083.65255 | ||
1158.94114 | 1158.94114 | ||
1201.52081 | 1201.52081 | ||
</pre> | </pre> | ||
| Line 161: | Line 161: | ||
! meantone-fifths11.scl | ! meantone-fifths11.scl | ||
! | ! | ||
Meantone-fifths[11] fifths-repetition MOS, pure 2 and 5 (1/4 comma) | Meantone-fifths[11] fifths-repetition MOS, pure 2 and 5 (1/4 comma) | ||
11 | 11 | ||
! | ! | ||
76.04900 | 76.04900 | ||
117.10786 | 117.10786 | ||
193.15686 | 193.15686 | ||
269.20586 | 269.20586 | ||
310.26471 | 310.26471 | ||
386.31371 | 386.31371 | ||
427.37257 | 427.37257 | ||
503.42157 | 503.42157 | ||
579.47057 | 579.47057 | ||
620.52943 | 620.52943 | ||
696.57843 | 696.57843 | ||
</pre> | </pre> | ||
| Line 181: | Line 181: | ||
<pre> | <pre> | ||
! | ! | ||
Rank 2 scale (698.9010989010989, 1200.) | Rank 2 scale (698.9010989010989, 1200.) | ||
43 | 43 | ||
! | ! | ||
13.186812 | 13.186812 | ||
79.120881 | 79.120881 | ||
92.307693 | 92.307693 | ||
105.494505 | 105.494505 | ||
118.681317 | 118.681317 | ||
184.615386 | 184.615386 | ||
197.802198 | 197.802198 | ||
210.989010 | 210.989010 | ||
276.923079 | 276.923079 | ||
290.109891 | 290.109891 | ||
303.296703 | 303.296703 | ||
316.483515 | 316.483515 | ||
382.417584 | 382.417584 | ||
395.604396 | 395.604396 | ||
408.791208 | 408.791208 | ||
421.978020 | 421.978020 | ||
487.912089 | 487.912089 | ||
501.098901 | 501.098901 | ||
514.285713 | 514.285713 | ||
580.219782 | 580.219782 | ||
593.406594 | 593.406594 | ||
606.593406 | 606.593406 | ||
619.780218 | 619.780218 | ||
685.714287 | 685.714287 | ||
698.901099 | 698.901099 | ||
712.087911 | 712.087911 | ||
778.021980 | 778.021980 | ||
791.208792 | 791.208792 | ||
804.395604 | 804.395604 | ||
817.582416 | 817.582416 | ||
883.516485 | 883.516485 | ||
896.703297 | 896.703297 | ||
909.890109 | 909.890109 | ||
923.076921 | 923.076921 | ||
989.010990 | 989.010990 | ||
1002.197802 | 1002.197802 | ||
1015.384614 | 1015.384614 | ||
1081.318683 | 1081.318683 | ||
1094.505495 | 1094.505495 | ||
1107.692307 | 1107.692307 | ||
1120.879119 | 1120.879119 | ||
1186.813188 | 1186.813188 | ||
1200. | 1200. | ||
</pre> | </pre> | ||
| Line 233: | Line 233: | ||
<pre> | <pre> | ||
! | ! | ||
Rank 2 scale (698.9010989010989, 1200.) | Rank 2 scale (698.9010989010989, 1200.) | ||
55 | 55 | ||
! | ! | ||
13.186812 | 13.186812 | ||
26.373624 | 26.373624 | ||
79.120881 | 79.120881 | ||
92.307693 | 92.307693 | ||
105.494505 | 105.494505 | ||
118.681317 | 118.681317 | ||
171.428574 | 171.428574 | ||
184.615386 | 184.615386 | ||
197.802198 | 197.802198 | ||
210.989010 | 210.989010 | ||
224.175822 | 224.175822 | ||
276.923079 | 276.923079 | ||
290.109891 | 290.109891 | ||
303.296703 | 303.296703 | ||
316.483515 | 316.483515 | ||
329.670327 | 329.670327 | ||
382.417584 | 382.417584 | ||
395.604396 | 395.604396 | ||
408.791208 | 408.791208 | ||
421.978020 | 421.978020 | ||
474.725277 | 474.725277 | ||
487.912089 | 487.912089 | ||
501.098901 | 501.098901 | ||
514.285713 | 514.285713 | ||
527.472525 | 527.472525 | ||
580.219782 | 580.219782 | ||
593.406594 | 593.406594 | ||
606.593406 | 606.593406 | ||
619.780218 | 619.780218 | ||
672.527475 | 672.527475 | ||
685.714287 | 685.714287 | ||
698.901099 | 698.901099 | ||
712.087911 | 712.087911 | ||
725.274723 | 725.274723 | ||
778.021980 | 778.021980 | ||
791.208792 | 791.208792 | ||
804.395604 | 804.395604 | ||
817.582416 | 817.582416 | ||
870.329673 | 870.329673 | ||
883.516485 | 883.516485 | ||
896.703297 | 896.703297 | ||
909.890109 | 909.890109 | ||
923.076921 | 923.076921 | ||
975.824178 | 975.824178 | ||
989.010990 | 989.010990 | ||
1002.197802 | 1002.197802 | ||
1015.384614 | 1015.384614 | ||
1028.571426 | 1028.571426 | ||
1081.318683 | 1081.318683 | ||
1094.505495 | 1094.505495 | ||
1107.692307 | 1107.692307 | ||
1120.879119 | 1120.879119 | ||
1173.626376 | 1173.626376 | ||
1186.813188 | 1186.813188 | ||
1200. | 1200. | ||
</pre> | </pre> | ||
Revision as of 13:25, 18 March 2025
Meantone[5]
Meantone5
! meantone5.scl ! Meantone[5] in 31edo tuning 5 ! 193.54839 387.09677 696.77419 890.32258 2/1
Mode: 4|0
Suggested keyboard mappings:
- Central C, providing C–G–D–A–E
Meantone[7]
Meantone7
! meantone7.scl ! Meantone[7] in 31edo tuning 7 ! 193.54839 387.09677 503.22581 696.77419 890.32258 1083.87097 2/1
Meantone7-19
! meantone7-19.scl ! Meantone[7] in 19edo tuning 7 ! 189.47368 378.94737 505.26316 694.73684 884.21053 1073.68421 2/1
Mode: 5|1 (Ionian, LLsLLLs)
Suggested keyboard mappings:
- Central C, providing notes from F through B.
Meantone[12]
Meantone12
! meantone12.scl ! Meantone[12] in 31edo tuning 12 ! 116.12903 193.54839 309.67742 387.09677 503.22581 580.64516 696.77419 812.90323 890.32258 1006.45161 1083.87097 2/1
Mode: 5|6 (LsLsLsLLsLsL)
Suggested keyboard mappings:
- Central G, providing notes from A♭ through C♯
- Central D, providing notes from E♭ through G♯
- Central A, providing notes from B♭ through D♯
Meanwoo12
! 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
Mode: 3|8 (sLLsLsLsLLsL)
Suggested keyboard mappings:
- Central C, providing notes from Eb to G#.
Meantone-fifths7
! meantone-fifths7.scl ! Meantone-fifths[7] fifths-repetition MOS, pure 2 and 5 (1/4 comma) 7 ! 117.10786 193.15686 310.26471 386.31371 503.42157 620.52943 696.57843
Meantone[19]
Meanwoo19
! 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
Meantone-fifths11
! meantone-fifths11.scl ! Meantone-fifths[11] fifths-repetition MOS, pure 2 and 5 (1/4 comma) 11 ! 76.04900 117.10786 193.15686 269.20586 310.26471 386.31371 427.37257 503.42157 579.47057 620.52943 696.57843
Meantone[43]
Meantone43 in 91edo
! Rank 2 scale (698.9010989010989, 1200.) 43 ! 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 923.076921 989.010990 1002.197802 1015.384614 1081.318683 1094.505495 1107.692307 1120.879119 1186.813188 1200.
Meantone[55]
Meantone55 in 91edo
! Rank 2 scale (698.9010989010989, 1200.) 55 ! 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.
- Subsets