Pinetone: Difference between revisions
m →Pinetone diminished chromatic: typo |
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Tempering M=L alternatively leads to sLLsLLsLssLL and sLsLLsLLsLLs, which are MODMOS of Meantone[12], i.e., C C♯ D E♭ E F G♭ G A♭ A A♯ B and G G♯ A A♯ B C C♯ D E♭ E F G♭. | Tempering M=L alternatively leads to sLLsLLsLssLL and sLsLLsLLsLLs, which are MODMOS of Meantone[12], i.e., C C♯ D E♭ E F G♭ G A♭ A A♯ B and G G♯ A A♯ B C C♯ D E♭ E F G♭. | ||
Tempering out 100/99 and 144/143 leads to the following simplest pre-images 25/24 10/9 6/5 5/4 4/3 13/9 3/2 8/5 5/3 45/26 11/6 2/1 and 25/24 10/9 | Tempering out 100/99 and 144/143 leads to the following simplest pre-images 25/24 10/9 6/5 5/4 4/3 13/9 3/2 8/5 5/3 45/26 11/6 2/1 and 25/24 10/9 15/13 5/4 4/3 11/8 3/2 8/5 5/3 9/5 48/25 2/1. | ||
Tuned to TE 2.3.5.11.13 Ptolemismic, the Pinetone diminished chromatic scales in those modes in cents are: | Tuned to TE 2.3.5.11.13 Ptolemismic, the Pinetone diminished chromatic scales in those modes in cents are: | ||
66.766 175.892 318.667 385.433 494.559 637.334 704.101 813.227 879.992 956.002 1055.884 1198.660 and 66.766 175.892 | 66.766 175.892 318.667 385.433 494.559 637.334 704.101 813.227 879.992 956.002 1055.884 1198.660 and 66.766 175.892 242.658 385.433 494.559 561.325 704.101 813.227 879.992 946.759 1131.983 1198.660. | ||
The Pinetone diminished chromatic scales provide the same amount of major and minor triads as the Pinetone chromatic (4 of each), however, they are more evenly spread in the diminished chromatic scales. | The Pinetone diminished chromatic scales provide the same amount of major and minor triads as the Pinetone chromatic (4 of each), however, they are more evenly spread in the diminished chromatic scales. | ||