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Major thirds of 1,25

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  • Mario Pizarro
    Brad and Mike: I deduced a scale whose twelve major thirds are 1,25 but the number of perfect fifths diminished to four: C major, Mi major, Fa major and A
    Message 1 of 4 , Oct 1, 2008
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      Brad and Mike:
       
      I deduced a scale whose twelve major thirds are 1,25 but the number of perfect fifths diminished to four: C major, Mi major, Fa major and A major.
      Do you think this scale is an important result?
       
      Regards
       
      Mario
       
      Lima, October 01
       
    • Keenan Pepper
      ... No, it sounds awful. Octaves of 125/64 (1159 cents) might sound fine in some gamelans, but for Western music they re just plain out of tune (and badly).
      Message 2 of 4 , Oct 1, 2008
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        On Wed, Oct 1, 2008 at 4:08 PM, Mario Pizarro <piagui@...> wrote:
        > Brad and Mike:
        >
        > I deduced a scale whose twelve major thirds are 1,25 but the number of
        > perfect fifths diminished to four: C major, Mi major, Fa major and A major.
        > Do you think this scale is an important result?

        No, it sounds awful. "Octaves" of 125/64 (1159 cents) might sound fine
        in some gamelans, but for Western music they're just plain out of tune
        (and badly).

        Keenan
      • Petr Parízek
        ... May I chime in ? Could you list the intervals? If I understand you correctly, there should be 12 major thirds of ~386.314 cents. If so, then the octaves
        Message 3 of 4 , Oct 1, 2008
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          Mario wrote:

          > I deduced a scale whose twelve major thirds are 1,25 but the number

          > of
          perfect fifths diminished to four: C major, Mi major, Fa major
          > and A
          major.
          > Do you think this scale is an important
          result?

          May I chime in ? Could you list the intervals? If I understand you correctly, there should be 12 major thirds of ~386.314 cents. If so, then the octaves probably aren’t tuned just, is that right?

          Petr

           

           

        • Mario Pizarro
          Petr, Here are the tones and intervals in blue. C --- 1 x (16/15)= 1,06666666 C # --- 1,06666... x Square root of(9/8)=1,06066017178 D --- 8/[5 (Square
          Message 4 of 4 , Oct 1, 2008
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            Petr,
             
            Here are the tones and intervals in blue.
             
            C  ---   1 x (16/15)= 1,06666666 
            C # --- 1,06666... x Square root of(9/8)=1,06066017178
            D  --- 8/[5 (Square root of 2)]=1,13137085 x Square root of (9/8)=1,06066017178
            Eb --- (6/5) = 1,2 x (25/24)= 1,04166666
            E   --- (5/4) = 1,25 x (16/15) = 1,06666666
            F   ---  (4/3) x Square root of (9/8)=1,06066017178
            F# ---  Square root of 2 x Square root of (9/8)=1,06066017178
            G   ---  (3/2)x (25/24)= 1,04166666
            Ab ---  (25/16) = 1,5625 x (16/15) = 1,06666666
            A  ---   (5/3) = 1,666666....x Square root of (9/8)=1,06066017178
            Bb ---  5/2(Square root of 2)x Square root of (9/8)=1,06066017178
            B  --- (15/8) = 1,875 x (16/15) = 1,06666666
            2C --- 2
             
            The octaves aren’t tuned just.
             
            Regards
             
            Mario
             
            Lima, October 01
            ----- Original Message -----
            Sent: Wednesday, October 01, 2008 3:26 PM
            Subject: Re: [tuning] Major thirds of 1,25

            Mario wrote:

            > I deduced a scale whose twelve major thirds are 1,25 but the number
            > of perfect fifths diminished to four: C major, Mi major, Fa major
            > and A major.
            > Do you think this scale is an important result?

            May I chime in ? Could you list the intervals? If I understand you correctly, there should be 12 major thirds of ~386.314 cents. If so, then the octaves probably aren’t tuned just, is that right?

            Petr

             

             

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