User:Holger Stoltenberg/sandbox: Difference between revisions

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:*if m = n, then r = 2 (1200 ¢)

<u>Example 1</u>: A just major third relates the first element ''(m=1)'' of a Mode 4 ''(n=4)'' overtone scale to the tonic ''(m=0)'' of Mode 4 and we get

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Typically, intonation is a small interval between -50 ¢ and +50 ¢ although larger values are allowed. In our model, the common tonic of all modes of the overtone scale has an intonation of 0 ¢ by definition.

According to this definition'','' the upper pitch of the just major third above the tonic (Mode 4, see Example 1 ~~in the section above~~) has an intonation interval of -14 ¢, which represents the ''distance to the nearest vertical 12edo line''. (Note that we generally evaluate intonation beginning at the 12edo pitch. This results in a minus sign for the intonation of the upper note of a just a third.)

According to this definition'','' the upper pitch of the just major third above the tonic (Mode 4, see

[[#example01|Example 1]]) has an intonation interval of -14 ¢, which represents the ''distance to the nearest vertical 12edo line''. (Note that we generally evaluate intonation beginning at the 12edo pitch. This results in a minus sign for the intonation of the upper note of a just a third.)

To calculate the intonation

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 :*if m = n, then  r = 2 (1200 ¢)
+<span id="example01"></span>
 <u>Example 1</u>: A just major third relates the first element ''(m=1)'' of a Mode 4 ''(n=4)'' overtone scale to the tonic ''(m=0)'' of Mode 4 and we get
@@ Line 73: / Line 74: @@
 Typically, intonation is a small interval between -50 ¢ and +50 ¢ although larger values are allowed. In our model, the common tonic of all modes of the overtone scale has an intonation of 0 ¢ by definition.
-According to this definition'','' the upper pitch of the just major third above the tonic (Mode 4, see Example 1 in the section above) has an intonation interval of -14 ¢, which represents the ''distance to the nearest vertical 12edo line''. (Note that we generally evaluate intonation beginning at the 12edo pitch. This results in a minus sign for the intonation of the upper note of a just a third.)
+According to this definition'','' the upper pitch of the just major third above the tonic (Mode 4, see
+[[#example01|Example 1]]) has an intonation interval of -14 ¢, which represents the ''distance to the nearest vertical 12edo line''. (Note that we generally evaluate intonation beginning at the 12edo pitch. This results in a minus sign for the intonation of the upper note of a just a third.)
 To calculate the intonation