Major 4ths & 5ths

[Daniel Schreffler]

Conrad,
  I'm curious as to what a music technician is and how does one become one.
Your post is very informative and I like your closing .
Thanks
Daniel SchrefflerRPT
Northern Arizona University
----- Original Message -----
From: "Conrad Hoffsommer" <hoffsoco@martin.luther.edu>
To: "Pianotech" <pianotech@ptg.org>
Sent: Tuesday, February 10, 2004 1:07 PM
Subject: Re: Major 4ths & 5ths


> At 12:06 2/10/2004 -0700, you wrote:
> >  Hi Davids,
> >Knowing Paul, I think that he is trying to discribe the different
intervals
> >found ( dread ) in historical temperments.  Not Equal.
> >Joe Goss
>
>
>
> Just to confuse everybody...
>
> The following is a list of theoretical interval sizes based on their
> relationships along the harmonic series.
>
> Musically, things are different.
> m2 = 100¢,
> M2 = 200¢
> Aug2/m3 = 300¢
> M3/Dim IV = 400¢
> IV = 500¢
> etc.
>
>          Mathematics of Intervals
>
> RatioNameSize in ¢
> Adjacent intervals:
> 1/2Octave1200
> 2/3Fifth 702
> 3/4Fourth 498
> 4/5Major third 386
> 5/6Minor third 316
> 6/7Small m3 267
> 7/8Maximum tone 231
> 8/9Major Tone 204
> 9/10Minor Tone 182
> 10/11                  Minimum Tone            165
> 11/123/4 Tone 151
> 15/16Just diatonic semitone 112
> Single skip intervals
> 3/5M6 884
> 5/7Small Tritone 583
> 7/9large M3 435
> 9/11Neutral third 347
> Double skip intervals
> 4/7Harmonic m7 969
> 5/8m6 814
> 7/10Large tritone 617
>
> 12th root of 2 = 1:1.05946       = Temp. semitone     100
> 1200th root of 2 = 1:1.00057779  = cent               1
>
> Comma - the difference between two sets of just intervals or combinations
> of just intervals.
> Diesis - difference between # & b tuned on the same key
>
> Pythagorean (ditonic) comma     23.5¢
>
> Syntonic comma          22  ¢
> - 81/80 - the difference between Pythagorean M3 and Just M3.
>     & also  "      "         "    Just m3 and Pythagorean m3
> Enharmonic diesis       41  ¢
>
>
>
> Conrad Hoffsommer - Music Technician
> Luther College, 700 College Dr., Decorah, Iowa 52101-1045
> Vox-(563)-387-1204 // Fax (563)-387-1076
>
> - Education is what you get from reading the small print. Experience is
> what you get from not reading it.
>
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