Whistle Sale...Plus some thoughts on Just tuning
- Daniel_Bingamon
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Here are the two formulas:
Equal Temperment: frequency * 1.0594631 = note spacing.
Just Intonation:
Tonic Note = Freq * 1/1
2nd = Freq * 9/8
3rd = Freq * 5/4
4th = Freq * 4/3
5th = Freq * 3/2
6th = Freq * 5/3
7th = Freq * 15/8
Octave = Freq * 2/1
Don't you love there garage sale threads!
<font size=-1>[ This Message was edited by: Daniel_Bingamon on 2003-01-02 22:45 ]</font>
Equal Temperment: frequency * 1.0594631 = note spacing.
Just Intonation:
Tonic Note = Freq * 1/1
2nd = Freq * 9/8
3rd = Freq * 5/4
4th = Freq * 4/3
5th = Freq * 3/2
6th = Freq * 5/3
7th = Freq * 15/8
Octave = Freq * 2/1
Don't you love there garage sale threads!
<font size=-1>[ This Message was edited by: Daniel_Bingamon on 2003-01-02 22:45 ]</font>
- Doc Jones
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Oh c'mon get a little crazy
I'm a doctor I could give you note for your wife if you need one. Do you think she'd go for a note from a vet?
Hey I know! We'll tell her you were "sick as a dog". That'd work.
Doc
I'm a doctor I could give you note for your wife if you need one. Do you think she'd go for a note from a vet?
Hey I know! We'll tell her you were "sick as a dog". That'd work.
Doc
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- Doc Jones
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Burke C composite and Susato Eb still available.
Buy both and I'll throw in a Generation F Like new!
Cheers,
Patrick
Buy both and I'll throw in a Generation F Like new!
Cheers,
Patrick
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- chas
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Dan, you managed to summarize very concisely what I hadn't found in several searches of The Repository of All Knowledge. And it bears out what many say: in whistle terms, the F#, B, and C# are all sharp in an equal-tempered scale. What I didn't realize is HOW sharp:
Here are the frequencies of an A major scale, with equal temperament in the first column, then just temperament and the fractional difference relative to a half step:
440. 440. 0.0000
494. 495. -0.0379
554. 550. 0.1334
587. 586.6 0.0209
659. 660. -0.0189
740. 733.3 0.1534
830. 825. 0.1143
880. 880. 0.0000
Also, 5-7 Hertz differences are REALLY obnoxious to hear.
Here are the frequencies of an A major scale, with equal temperament in the first column, then just temperament and the fractional difference relative to a half step:
440. 440. 0.0000
494. 495. -0.0379
554. 550. 0.1334
587. 586.6 0.0209
659. 660. -0.0189
740. 733.3 0.1534
830. 825. 0.1143
880. 880. 0.0000
Also, 5-7 Hertz differences are REALLY obnoxious to hear.
Charlie
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"Our work puts heavy metal where it belongs -- as a music genre and not a pollutant in drinking water." -- Prof Ali Miserez.