You wrote....... "The 1799 Meantone ......" I would like to know the source of your 1799 Meantone. It appears to be a divergence of the traditional order of tuning Eb---G# by tempered 5ths centered on Middle C. (Eb-Bb-F-C-G-D-A-E-B-F#-G#) Since1799 was near the end of the meantone era and if this was indeed a wide spread tuning of meantone of that time it might indicate a different tonality (as in "color of the key") (very different perhaps) from the Eb--G# order. ---ric ----- Original Message ----- From: Jason Kanter <jkanter@rollingball.com> To: <pianotech@ptg.org> Sent: Friday, February 15, 2002 9:14 AM Subject: Pics Pythagorean, Meantone | | The 14th Century Pythagorean is clearly designed to have pure fifths, so ten | of the twelve fifths are zero. The price for this is that the EB fifth is 15 | cents narrow (compared to the ET contraction of 2 cents). There are three | varieties of thirds: four at +6.8 cents, four at +12.8 cents, and four at | +21.5 cents (ET uses 13.7 cents). | | The 1799 Meantone is clearly designed to have the fifths and thirds match | each other. For the major triads on C, G, D, A, D#, A#, and F, the fifths | are at -4.3 cents and the thirds are at +4.3 cents. (This is cents, not beat | rates, so I'm not sure if they beat the same ... more Excel work to come...) | The price for this is that three of the thirds are stretched to over 30 | cents and must be unusable, and two of the fifths are actually *expanded* to | +8 cents and +11 cents respectively. | | || ||| || ||| || ||| || ||| || ||| || ||| || ||| || ||| | jason kanter * piano tuning * piano teaching | bellevue, wa * 425 562 4127 * cell 425 831 1561 | orcas island * 360 376 2799 | || ||| || ||| || ||| || ||| || ||| || ||| || ||| || ||| | | |
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