Tanyer, Suleyman Gokhun2023-11-092023-11-0920142165-0608http://hdl.handle.net/11727/10817Interval (tuning) systems in music reflect history, culture and geography. The classical music of the west is based on the twelve-tone equal temperament (12-TET) interval (tuning) system which became dominant throughout the world. Today, other interval systems are being re-discovered by the west with the advances in information technologies. Many multi-media applications use digital signal processing to; process, synthesize, recognize, classify and share music. The important classification features such as; interval system, mode and maqams provide solutions for the discrepancy of music; east-west; Turkish-Arab-Chinese-Indian; blues-jazz-clasical. In this paper, the theoretical problem of constructing an interval system independent from the harmonics 'the fifths', today known as the N-limit tonality diamond (matrix), is examined. It was first proposed by Ibni Sina's teacher Al-Jurjani approximately 1,000 years ago and solved for N = 5. In the 19th and 20th centuries, the problem was solved for N = 9 and 13. The missing solutions for N = 3 and 7 and misleading N = 15 solutions make the analysis of such music even harder. In this paper, N-limit tonality diamond problem is solved for increasing N as an application in digital signal processing. These rare and distict intervals are proposed as features for easier identification and classificationturinfo:eu-repo/semantics/closedAccessConference Object2692720003563514000472-s2.0-84903771493