Re: RE: 13 note just intonation

>From: "Paul H. Erlich" <PErlich@Acadian-Asset.com>
>Reply-To: tuning@onelist.com
>To: "'tuning@onelist.com'" <tuning@onelist.com>
>Subject: [tuning] RE: 13 note just intonation
>Date: Thu, 26 Aug 1999 15:01:14 -0400
>
>From: "Paul H. Erlich" <PErlich@Acadian-Asset.com>
>
>muenda qwa sahure wrote,
>
> >i believe that the following tuning system yields just intonation in all
> >twelve keys, each key being unique, and a plausible circularity of
>fifths.
>
> >C = 1/1
>
> >C# = 16/15
>
> >D = 9/8
>
> >D# = 32/27
>
> >E = 5/4
>
> >F = 4/3
>
> >F# = (45/32 64/45)
>
> >G = 3/2
>
> >G# = 8/5
>
> >A = 27/16
>
> >A# = 16/9
>
> >B = 15/8
>
>This tuning system does not provide traditional just tuning (i.e., six
>consonant 5-limit triads) for even one key, let alone twelve. The only
>purpose for just intonation is to provide consonant harmony; most harmonies
>in most keys in this tuning will be dissonant.
>
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