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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 Science
Identifiers
URN: urn:nbn:se:kth:diva-131052OAI: oai:DiVA.org:kth-131052DiVA: 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

Open Access in DiVA

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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 Science

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