![](bg4.png)
Figure 2: Prepared MIDI Version of Score.
case ("Ax"){PB = "-55¢~B 58,46";}
case ("A#"){PB = "-32¢~B 87,53";}
case ("An"){PB = "-10¢~B 116,60";}
case ("Ab"){PB = "+13¢~B 17,68";}
case ("Abb"){PB = "+35¢~B 45,75";}
default {PB = "±00¢~B 0,64";}
}
return PB;
Such simple subprogram allows to retune
automatically the musical pieces and to get audible
models of their sounding. Some from them are freely
offered for listening to and discussion (Khramov,
2004, 2006).
On Figure 2, the subprogram has added above
each note in ossias the text, which is seen from an
initial quotation marks up to a tilde, and is hidden,
since a tilde and up to a completing quotation marks.
The visible text shows to observer the departure of
each note pitch, and hidden one transmits
appropriate PB to a MIDI device. It calls a required
departure of each note pitch for a selected 31EDO
2.2 Modeling of Negative Systems,
Indicates Mistakes in Scores
If in a context 12EDO major third A-C# for example
is in score mistakenly designated as A-Db, the
playing by this score in 31EDO will cause obvious
sensation out of tuning, completely inaccessible
during the playing in a system 12EDO. The
respelling of mistakenly notation removes sensation
out of tuning also during the playing in 31EDO.
The verification of scores by hearing plays the
important role in the process of transposing of
12EDO scores for the performance of them in
positive by Bosanquet (22EDO, 53EDO) systems
(Khramov, 2008).
REFERENCES
Asmussen, R., 2001. Periodicity of sinusoidal frequencies
as a basis for the analysis of Baroque and Classical
harmony: a computer based study. The University of
Leeds. School of Music.
http://www.terraworld.net/c-jasmussen/
Bosanquet, R. H. M., 1875. On the theory of the division
of the octave. In Proceedings of the Royal Society. No.
161. http://geocities.com/kmy180753/downloads/
EnhrmArticleOfBosnquet.pdf, http://geocities.com/
kmy180753/downloads/EnhrmArticleOfBosnquet.doc
Op de Coul, M., 2004. Scala Software. Netherlands,
version 2.2p. http://www.xs4all.nl/~huygensf/scala
Eastwood, M., Spreadbury, D., Finn, B., Finn, J., 2005.
Sibelius 4. Reference. http://www.sibelius.com/buy
Khramov, M., 2004. My music. From http://
members.sibeliusmusic.com/commator
Khramov, M., 2006. Another tuning. Audio CD. http://
geocities.com/commator/CDPages/AnotherTuning.htm
Khramov, M., 2008. Project Commator and Sonantometry.
In Proceedings of the FRSM-2008 International
Symposium Frontiers of Research on Speech and
Music. Jadavpur University, Kolkata.
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