User:Holger Stoltenberg/sandbox: Difference between revisions

Line 9:

The proposed model of tonal space utilizes the uniform structure and simple mathematical description of ''[[Overtone scale|overtone scales]]'' as well as the closely related ''arithmetic frequency division of the octave'' ([[AFDO]]).

For each note rendered, the model should effectively determine the current deviation from 12-tone equal temperament (12edo) in order to control the intonation of a commercial sound module or software plug-in on the fly.

For each note rendered, the model should effectively determine the current deviation from 12-tone equal temperament ([[12edo]]) in order to control the intonation of a commercial sound module or software plug-in on the fly.

==How to expand tonal space – the interval axis==

Like ''frequency'', ''musical pitch'' is one-dimensional. Fig.1 illustrates the horizontal axis of tonal space, which we call the ''interval axis''. It points in keyboard direction from low keys to high keys. The first harmonic ''(h1)'' is known as the common ''fundamental'' of all upcoming overtone scales.

@@ Line 9: / Line 9: @@
 The proposed model of tonal space utilizes the uniform structure and simple mathematical description of ''[[Overtone scale|overtone scales]]'' as well as the closely related ''arithmetic frequency division of the octave'' ([[AFDO]]).
-For each note rendered, the model should effectively determine the current deviation from 12-tone equal temperament (12edo) in order to control the intonation of a commercial sound module or software plug-in on the fly.
+For each note rendered, the model should effectively determine the current deviation from 12-tone equal temperament ([[12edo]]) in order to control the intonation of a commercial sound module or software plug-in on the fly.
 ==How to expand tonal space – the interval axis==
 Like ''frequency'', ''musical pitch'' is one-dimensional. Fig.1 illustrates the horizontal axis of tonal space, which we call the ''interval axis''. It points in keyboard direction from low keys to high keys. The first harmonic ''(h1)'' is known as the common ''fundamental'' of all upcoming overtone scales.