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17-Limit 18-Tone persian scale

🔗Mohajeri Shahin <shahinm@kayson-ir.com>

7/8/2007 4:22:54 AM

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>Hi all
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>17 and 13-limit have historical evidences in persian music by works of Farabi and ibn sina.Here is a 17-Limit 18-Tone persian scale which is based on 18/17,81/68 and 13/12.
>We can get 18/17 by dividing string length into 18 equal divisions.
>We can get 9/8(81/72),81/68,81/64,3/2(81/54),27/17(81/51),27/16(81/48) by dividing string length into 81 equal parts.
>9/8,81/68 and 81/64 are used by Farabi and EDL and ADO like 13-EDL ,81-EDL ,256-ADO ,17-ADO,…. can be traced here:
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> 0: 1/1 0.000 unison, perfect prime
> 1: 18/17 98.955 Arabic lute index finger
> 2: 13/12 138.573 tridecimal 2/3-tone
> 3: 9/8 203.910 major whole tone
> 4: 81/68 302.865 Persian wosta
> 5: 39/32 342.483 39th harmonic, Zalzal wosta of Ibn Sina
> 6: 81/64 407.820 Pythagorean major third
> 7: 4/3 498.045 perfect fourth
> 8: 351/256 546.393
> 9: 24/17 597.000 1st septendecimal tritone
> 10: 13/9 636.618 tridecimal diminished fifth
> 11: 3/2 701.955 perfect fifth
> 12: 27/17 800.910 septendecimal minor sixth
> 13: 13/8 840.528 tridecimal neutral sixth
> 14: 27/16 905.865 Pythagorean major sixth
> 15: 16/9 996.090 Pythagorean minor seventh
> 16: 117/64 1044.438
> 17: 32/17 1095.045 17th subharmonic
> 18: 2/1 1200.000 octave
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>Shaahin Mohajeri
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>Tombak Player & Researcher , Microtonal Composer
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>My web site>وب سايت شاهين مهاجري <http://240edo.googlepages.com/>
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>My farsi page in Harmonytalk صفحه اختصاصي در هارموني تاك <http://www.harmonytalk.com/mohajeri>
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>Shaahin Mohajeri in Wikipedia شاهين مهاجري دردائره المعارف ويكي پديا <http://en.wikipedia.org/wiki/Shaahin_mohajeri>
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