Meantone scales: Difference between revisions
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! 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 62: | Line 62: | ||
! meantone12.scl | ! meantone12.scl | ||
! | ! | ||
Meantone[12] in 31edo tuning | Meantone[12] in 31edo tuning | ||
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 85: | Line 85: | ||
* Central D, providing notes from E♭ through G♯ | * Central D, providing notes from E♭ through G♯ | ||
* Central A, providing notes from B♭ through D♯ | * Central A, providing notes from B♭ through D♯ | ||
=== Meaneb471a === | |||
<pre> | |||
! meaneb471a.scl | |||
! | |||
Equal beating 5/4 = 3/2 opposite. Almost 1/5 Pyth. Gottfried Keller (1707) | |||
12 | |||
! | |||
80.94883 | |||
194.55681 | |||
308.16479 | |||
389.11362 | |||
502.72160 | |||
583.67043 | |||
697.27840 | |||
778.22724 | |||
891.83521 | |||
1005.44319 | |||
1086.39202 | |||
2/1 | |||
</pre> | |||
Mode: 3|8 (sLLsLsLsLLsL) | |||
Suggested keyboard mappings: | |||
* Central C, providing notes from Eb to G# | |||
Note: this is the tuning where ~3/1 and ~5/1 beat at the equal rate, despite the description. | |||
=== Meaneb471 === | |||
<pre> | |||
! meaneb471.scl | |||
! | |||
Equal beating 5/4 = 3/2 same. Almost 5/17-comma. Erv Wilson's 'metameantone' | |||
12 | |||
! | |||
69.41306 | |||
191.26087 | |||
313.10869 | |||
382.52175 | |||
504.36956 | |||
573.78262 | |||
695.63044 | |||
765.04350 | |||
886.89131 | |||
1008.73913 | |||
1078.15219 | |||
2/1 | |||
</pre> | |||
Mode: 3|8 (sLLsLsLsLLsL) | |||
Suggested keyboard mappings: | |||
* Central C, providing notes from Eb to G# | |||
Note: this is the tuning where ~3/1 and ~5/1 beat at the equal rate, despite the description. | |||
=== Ratwolf === | |||
<pre> | |||
! smithgw_ratwolf.scl | |||
! | |||
Eleven fifths of (416/5)^(1/11) and one 20/13 wolf, G.W. Smith 2003 | |||
12 | |||
! | |||
70.86342 | |||
191.67526 | |||
312.48710 | |||
383.35053 | |||
504.16237 | |||
575.02579 | |||
695.83763 | |||
766.70106 | |||
887.51290 | |||
1008.32474 | |||
1079.18816 | |||
2/1 | |||
</pre> | |||
Mode: 3|8 (sLLsLsLsLLsL) | |||
Suggested keyboard mappings: | |||
* Central C, providing notes from Eb through G# | |||
; External links | |||
* [http://lumma.org/tuning/gws/ratwolf.html Ratwolf] | |||
=== Meanwoo12 === | === Meanwoo12 === | ||
| Line 90: | Line 175: | ||
! 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 201: | ||
! 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 218: | ||
! 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 246: | ||
! 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 266: | ||
<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 318: | ||
<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> | ||
| Line 297: | Line 382: | ||
* [[Lost spirit]] | * [[Lost spirit]] | ||
* [[Blackened skies]] | * [[Blackened skies]] | ||
{{Navbox scale gallery}} | |||
[[Category:Pages with Scala files]] | [[Category:Pages with Scala files]] | ||
[[Category:MOS scales]] | [[Category:MOS scales]] | ||
[[Category:Tempered scales]] | [[Category:Tempered scales]] | ||
[[Category:Pages with mostly numerical content]] | |||
[[Category:Meantone]] | [[Category:Meantone]] | ||