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A Nineteen Tone Scale Synthesizer.
KTH, School of Computer Science and Communication (CSC).
KTH, School of Computer Science and Communication (CSC).
2012 (English)Independent thesis Advanced level (professional degree), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

According to theoretical considerations involving acoustics, mathematics and human perception of sound, the 19-tone equal temperament scale, or 19-TET in short, might be a fascinating alternative to the common 12 tone scale (12-TET). The mathematical properties of 19-TET are examined. We show that instruments and music notation designed for 12-TET can be made to favorably correlate with these items for 19-TET, and how well the intervals of 19-TET approximate just intervals, making 19-TET an eligible alternative to (or even substitute for) 12-TET. 19-TET is also applied in a computer program intended for sequencing of musical pieces, which is used to perform listener tests with musicians and non-musicians alike.

Our study suggests that listeners accustomed to 12-TET can enjoy 19-TET music to some extent, but not as much as 12-TET music. Without the cultural bias, however, it might be the other way around, considering the mathematical properties of 19-TET.

Abstract [sv]

Den liktempererade 19-tonsskalan kan enligt teoretiska överväganden som innefattar akustik, matematik och hur människor uppfattar ljud vara ett fascinerande alternativ till den vedertagna 12-tonsskalan. 19-tonsskalans matematiska egenskaper undersöks. Vi visar att instrument och notsystem avsedda för 12-tonsskalan med fördel går att anpassa för 19-tonsskalan, samt hur väl intervallen i 19-tonsskalan approximerar strikt matematiskt rena intervall, vilket gör 19-tonsskalan till ett lämpligt alternativ (eller till och med ersättare för) 12-tonsskalan. 19-tonsskalan appliceras också i ett datorprogram avsett för sekvensering av musikstycken, vilket används för att utföra lyssnartester med både musiker och icke-musiker.

Vår studie antyder att musiklyssnare som är vana vid 12-tonsmusik kan uppskatta 19-tonsmusik i någon utsträckning, men inte lika mycket som 12-tonsmusik. Sett till 19-tonsskalans matematiska egenskaper hade det dock kunnat vara tvärtom, om vi bortser från kulturella preferenser.

Place, publisher, year, edition, pages
2012.
Series
Kandidatexjobb CSC ; K12047
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:kth:diva-131052OAI: oai:DiVA.org:kth-131052DiVA, id: diva2:654498
Educational program
Master of Science in Engineering - Computer Science and Technology
Uppsok
Technology
Supervisors
Examiners
Available from: 2013-10-07 Created: 2013-10-07 Last updated: 2018-01-11

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Other links

http://www.csc.kth.se/utbildning/kandidatexjobb/datateknik/2012/rapport/lindstrom_andreas_OCH_wifstrand_albert_K12047.pdf
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School of Computer Science and Communication (CSC)
Computer Sciences

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