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 [[harmonic]]s 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)

These tones are performed in "just intonation' based on a fundamental tone of "F".

These tones are performed in "[[just intonation]]' based on a fundamental tone of "F".

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[[Category:Just intonation]]

[[Category:11-limit]]

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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 [[harmonic]]s and their multiples in the following pattern:
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@@ Line 48: / Line 48: @@
 |}
-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:
 , 33, 35, 9, 77, 5, 81, 21, [11,] 45, 3, 49, 99, 25, 27, 55, 7, 15, 121, 63, (2)
-These tones are performed in "just intonation' based on a fundamental tone of "F".
+These tones are performed in "[[just intonation]]' based on a fundamental tone of "F".
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 | | -27
 |}
+[[Category:Just intonation]]
+[[Category:11-limit]]