List, this is a call for more HT data. I would particularly like responses from those of you who practice HT or modified ET in your work -- Ed Foote, Jim Coleman Sr., Paul Bailey, others. I am studying the HTs and modern departures from ET and have been creating graphs to enable the viewer to "see" what each of the temperaments sounds like and compare the HTs at a glance. It promises to turn into a very interesting PDF document, which I will make available on the web. It should also be a great boon to the ongoing dialog about this subject. I have found that all the HTs can be mathematically arranged in a kind of "spectrum". At one end you have the temperaments with the greatest number of purest thirds and fifths, at the expense of sacrificing playability of several of the keys. At the other end you have pure ET, in which there are the greatest number of playable keys at the expense of the purity of all the thirds and fifths. I need additional data that is not in the TuneLab set of temperament files. I am not currently blessed with a Jorgensen book. For example, Ed Foote recently has mentioned "reverse well", and I don't have it. There must be others that are significant and missing from my data. The sequence is approximately like this: MAXIMUM NUMBER OF SLOW/JUST THIRDS; MAXIMUM SACRIFICE OF SOME KEYS John Holden 1 5th syntonic Gottfried Keller 1 5th ditonic Gioseffo Zarlino 2 7th Christiaan Huygens 31 Aron's 1/4 Syntonic Comma Meantone - equal beating 17th Century Meantone 1799 Meantone 1797 Meantone Improved Wm Hawkes meantone Alexander Metcalf Fisher Equal Beating Prinz Well Werckmeister III Stanhope 1-3 Comma Stanhope Equal Beating Vallotti-Young well Kirnberger III Anton Bemetzrieder Pythagorean Vallotti Well (1750) Early 18th Century Well A Merrick Q-E 14th Century Pythagorean Kellner Wohltemperirt/Bach Paul Bailey Well 2002 Ellis Tuner Well 2 Bremmer EBVT Ellis Tuner Well 4 Coleman Balanced 16 Coleman 16 Thomas Young #1 Rep 18th cent well Coleman 11 Jean-Baptiste Romieu 1/7 Comma Meantone of 1755 Peter Prelleur well Jean Jousse well Equal-beating JJ Rousseau Tuner's Guide well 1 Rep Victorian well Henricus Grammateus Pythagorean Charles E Moscow Pythagorean Neidhardt-MarpurgDeMorganPythag George Frederick Handel Well Augustus De Morgan unequal Coleman 4 Equal beating J.Preston Well Viennese Q-E [from here down, the temperaments are so similar Ellis Tuner 5 Q-E [that I doubt a trained ear could distinguish Tuner's Guide well 3 [between them.] Tuner's Guide well 2 Alexander John Ellis 1875 Q-E Tuner's Guide Marsh Q-E Tuner's Guide Becket Q-E Jean Jousse Q-E Howard Willet Pyle Q-E FACTORY TUNERS 1840 Q-E Alexander John Ellis 1885 Q-E Equal Temperament NO SLOW (JUST) THIRDS OR FIFTHS; MINIMUM SACRIFICE IN ANY KEY The TuneLab set that I have not yet incorporated includes the following; e.g. I HAVE the following data but have not yet analyzed it: Jean-Le Rond Dalembert Johann C Gottlieb Graupner Q-E Johann George Neidhardt Pythag Johann Nepomuk Hummel Q-E Johann Philipp Kimberger well John Marsh 4 25th syntonic Mark Wicks Q-E Pietro Aaron quarter syntonic ROBERT SMITH 50 Theoretical ChasEarl Stanhope Theoretical JJ Rousseau Theoretical JohnPreston well Theoretical Prinz well Francesco AntonioVallotti well Thanks in advance || ||| || ||| || ||| || ||| || ||| || ||| || ||| || ||| jason kanter * piano tuning * piano teaching bellevue, wa * 425 562 4127 * cell 425 831 1561 orcas island * 360 376 2799 || ||| || ||| || ||| || ||| || ||| || ||| || ||| || |||
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