Dreyblatt tuning system: Difference between revisions

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from Arnold Dreyblatt: ''Tuning Systems Explanation'', http://www.dreyblatt.net/general-information-music#/tuning-system/
from Arnold Dreyblatt: ''Tuning Systems Explanation'', http://www.dreyblatt.net/general-information-music#/tuning-system/


The ''Dreyblatt Tuning System'' is calculated from the third, fifth, seventh, ninth and eleventh overtones and their multiples in the following pattern:
The ''Dreyblatt Tuning System'' is calculated from the third, fifth, seventh, ninth and eleventh harmonics and their multiples in the following pattern:


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These mathematically related overtones are heard as tonal relationships when they are transposed and sounded above a fundamental tone. In this process of transposition from their position in the natural overtone series, these tones fall (unequally) in the span of one octave in the following order:
These mathematically related harmonics are heard as tonal relationships when they are transposed and sounded above a fundamental tone. In this process of transposition from their position in the natural harmonic series, these tones fall (unequally) in the span of one octave in the following order:


1, 33, 35, 9, 77, 5, 81, 21, [11,] 45, 3, 49, 99, 25, 27, 55, 7, 15, 121, 63, (2)
1, 33, 35, 9, 77, 5, 81, 21, [11,] 45, 3, 49, 99, 25, 27, 55, 7, 15, 121, 63, (2)