User:Holger Stoltenberg/sandbox: Difference between revisions

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::*''a deviating pitch referenced by the same key descriptor''

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.

Typically, intonation is a small interval between -50 ¢ and +50 ¢ alhough 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

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 '''from''' the nearest vertical 12edo line''. Note that we generally measure intonation beginning at the nearest 12edo pitch. This results in a minus sign for the intonation of the upper note of the just third.

[[#example01|Example 1]]) has an intonation interval of '''-14 ¢''', which represents the ''distance '''from''' the nearest vertical 12edo line''. (Note that we generally measure intonation beginning at the nearest 12edo pitch. This results in a minus sign for the intonation of the upper note of the just third.) The signed intonation interval represents the amount of retuning required when a ~~commercial~~ sound module is ~~initially~~ tuned to ~~12edo~~.

The unusual definition of the sign is based on a technical point of view and takes into account the plan to build a real instrument. The signed intonation interval represents the amount of retuning required when a commercially available sound module is factory tuned to 12tet.

==== Calculate intonation ====

@@ Line 73: / Line 73: @@
 ::*''a deviating pitch referenced by the same key descriptor''
-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.
+Typically, intonation is a small interval between -50 ¢ and +50 ¢ alhough 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
+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 '''from''' the nearest vertical 12edo line''. Note that we generally measure intonation beginning at the nearest 12edo pitch. This results in a minus sign for the intonation of the upper note of the just third.
-[[#example01|Example 1]]) has an intonation interval of '''-14 ¢''', which represents the ''distance '''from''' the nearest vertical 12edo line''. (Note that we generally measure intonation beginning at the nearest 12edo pitch. This results in a minus sign for the intonation of the upper note of the just third.) The signed intonation interval represents the amount of retuning required when a commercial sound module is initially tuned to 12edo.
+The unusual definition of the sign is based on a technical point of view and takes into account the plan to build a real instrument. The signed intonation interval represents the amount of retuning required when a commercially available sound module is factory tuned to 12tet.
 ==== Calculate intonation ====