Newton said: > Maybe the final version should have a "significant" category to help > determine it's historical significant. Obviously 200 HTs would have > quite a few that were less significant than others in terms of who, when > and where they were used. I'd greatly welcome any educated opinions about which are significant. Also, there is a good bit of overlap (e.g. 2 versions of Werckmeister III. One of them is 7.8 cents lower than the other, but the offset pattern is identical... see the numbers immediately below. I could discard the one that has A at -7.8 cents...) C +3.9 +11.7 C# -5.9 +2.0 D -3.9 +3.9 D# -2.0 +5.9 E -5.9 +2.0 F +1.9 +9.8 F# -7.8 0.0 G 0.0 +7.8 G# -3.9 +3.9 A -7.8 0.0 A# 0.0 +7.8 B -3.9 +3.9 Here are the temperaments I have now (names only); this is a "splice" of the TuneLab files, which are themselves mostly taken from Jorgensen, and the Chip Miller/Avery Todd website, which has about 175 temperaments. I had Excel run comparisons and have combined the names where the offsets are identical (e.g. Broadwood Best is identical to Ellis Tuner Well 4, and Tuner's Guide Marsh Q-E is identical to Johann Nepomuk Hummel Q-E). I am working at a disadvantage since I have not yet located a copy of Jorgensen and must rely on the help of you folks. I also know that the 75-HT file I have built is already too large for some, so I will want to break the next release into several files, and would like suggestions about how to group them. Pythagoreans, Means, Wells? By century? ... thanks in advance, comments welcome. 1/10 - Comma Meantone 1/7 - Comma Meantone 1/8 - Comma Meantone 1/9- Comma Meantone 14th Century Pythagorean 1797 Meantone 1799 Meantone 17th Century Meantone A Merrick Q-E Agricola's Altered Pythagorean Tuning Agricola's Monochord (Just) Agricola's Pythagorean-type Monochord (Irregular) Alexander John Ellis 1875 Q-E Alexander John Ellis 1885 Q-E Alexander Metcalf Fisher Anton Bemetzrieder Pythagorean Aron's 1/4 Syntonic Comma Meantone - equal beating Aron's 1/4 Syntonic Comma Meantone - theoretically correct Aron-Neidhart Well Temperament - theoretically correct Artusi's Monochord #1 (Irregular) Artusi's Monochord #2 (Irregular) Artusi's Monochord #3 (Irregular) Augustus De Morgan unequal Barbour Murray - Well Temperament by Regularly Varied Fifths Barbour/Bermudo Barbour/Galilei #1 (also called Galilei's Temperament with Linear Correction No. 2 (Equal) ) Barbour/Galilei #2 Barbour/Grammateus Barbour/Pythagorean Bendeler's #1 (1/3 - comma) (Irregular) Bendeler's #2 (1/3 - comma) (Irregular) Bendeler's #3 (1/4 - comma) (Irregular) Bermudo's Equal Semi-tones Bermudo's Vihuela Temperament (1/6- 1/2-Comma) Boulliau's Equal Temperament Bremmer EBVT Broadwood Best Ellis Tuner Well 4 Broadwood Usual Charles E Moscow Pythagorean Christiaan Huygens 31 Coleman 11 Coleman 16 Coleman 4 Coleman Balanced 16 Colonna's Irregular Just #1 (Irregular) Colonna's Irregular Just #2 (Irregular) De Morgan Unequal DeCaus's Monochord (Just) Dechales' 'Guidonian' 1/5 comma Meantone Dowland's Lute Tuning (Irregular) Early 18th Century Well Ellis Tuner 5 Q-E Ellis Tuner Well 2 Ellis' Fractional Approximations (Equal) Equal Beating Charles Earl Stanhope Equal beating J.Preston Well Equal Beating Prinz Well Equal Temperament Equal-beating JJ Rousseau Erlangen Monochord (Just) Erlangen Monochord (Revised) (Just) Euler's Monochord (Just) FACTORY TUNERS 1840 Q-E Fogliano's Just Meantone - 1529 Fogliano's Monochord #1 (Just) Fogliano's Monochord #2 (Just) Fogliano's Tempered Just Intonation (Just) Fogliano's Tempered Just Intonation (Revised) (Just) Fogliano-Aron Just Meantone - equal-beating Fogliano-Aron Just Meantone - non-tempered Fogliano-Aron Just Meantone - theoretically correct Francesco AntonioVallotti well Galilei / Pythagorean (Equal) Galilei's Equal Temperament Galilei's Temperament with Linear Correction No. 1 (Equal) Galilei/Nassarre (Equal) Gallimard's Modified Meantone #1 (Irregular) Gallimard's Modified Meantone #2 (Irregular) Ganassi's Monochord (Approximation) (Equal) Ganassi's Monochord (Irregular) Geometric Approsimation (19:12 for Minor Sixth) (Equal) George Frederick Handel Well Gioseffo Zarlino 2 7th Gottfried Keller 1 5th ditonic Grammateus/Pythagorean Monochord (Irregular) Hammond's Fractional Approximations (Equal) Harrison Well Temperament - equal beating Harrison Well Temperament - theoretically correct Harrison's 3/10-Comma Meantone Hawkes' Modified 1/5 - Comma (Irregular) Henderson's Empirical Adaptation of the Barbour Well Temperament Henricus Grammateus Pythagorean Hô Tchhêng-thyen's Approximation (Equal) Hô Tchhêng-thyen's Temperament Improved (Equal) Howard Willet Pyle Q-E Improved Wm Hawkes meantone Jean Jousse well Jean-Baptiste Romieu 1/7 Comma Meantone of 1755 Jean-Le Rond D'Alembert well Jean-Le Rond Dalembert Johann C Gottlieb Graupner Q-E Johann George Neidhardt Pythag Johann Philipp Kimberger well John Holden 1 5th syntonic John Marsh 4 25th syntonic Jousse's Well Temperament Just Intonation (Jorgenson) (same as Marpurg Monochord #1) Just Intonation - Marpurg/Ptolemy Kellner Wohltemperirt/Bach Kepler's Monochord #1 (Just) Kepler's Monochord #2 (Just) Kirnberger III Kirnberger III - Avery Kirnberger Well Temperament (1779) Kirnberger's 1/2 - Comma (Irregular)(also called Unequal)(same as Von Wiese's #2) Levens' Monochord (Altered from) (Irregular) Levens' Monochord (linear divisions) (Irregular) Malcolm's Monochord (Irregular) Malcolm's Monochord (Just) Mark Wicks Q-E Marpurg Temperament #1 - 1/3 Diatonic Comma -1776 Marpurg's Monochord #3 (Just) Marpurg's Monochord #4 (Just) Marpurg's Temperament #1 (1/12 1/6 - comma) (Irregular) Marpurg's Temperament #3 (1/12 5/24 - comma) (Irregular) Marpurg's Temperament A (1/12 1/6 - comma) (Irregular) Marpurg's Temperament B (1/12 1/6 - comma) Marpurg's Temperament C (1/12 1/6 - comma) (Irregular) Marpurg's Temperament D (1/12 1/6 - comma) (Irregular) Marpurg's Temperament E (1/12 1/6 - comma) (Irregular) Marpurg's Temperament G (1/5 - comma) (Irregular) Marpurg's Temperament I (1/3 - comma) (Irregular) Meantone Temperament with Two Sharp Fifths (Irregular) Meckenheuser's Division of the Syntonic Comma (Equal) Mercadier (1/12 1/6 - comma) (Irregular) Merrick's Equal Temperament Mersenne's First (and Second) Geometrical Approximation (Equal) Mersenne's First Geometrical Method for Equal Temperament Mersenne's Improved Meantone #1 (Irregular) Mersenne's Improved Meantone #2 (Irregular) Mersenne's Lute Tuning #1 (Just) Mersenne's Lute Tuning #2 (Just) Mersenne's Practical Equal Temperament (Equal) Mersenne's Second Geometrical Approximation (Equal) Mersenne's Spinet Tuning #1 (Just) Mersenne's Spinet Tuning #2 (Just) Metius Adrian - Mean-Tone Tuning Montvallon's Monochord (Just) Nassarre's Equal Semitones (Equal) Nassarre's Temperament Idealized (Equal) Neidhardt's Circulating #1 (1/12 1/6 comma) (Irregular) Neidhardt's Circulating #2 (1/12 1/6 - comma) (Irregular) Neidhardt's Circulating #3 (1/12 1/6 - comma) (Irregular) Neidhardt's Fifth Circle #10 (1/6 1/4 - comma) Neidhardt's Fifth Circle #10 (Idealized) (Irregular) Neidhardt's Fifth Circle #11 (1/12 1/6 35798 - comma) Neidhardt's Fifth Circle #12 (1/12 1/6 35798 - comma) Neidhardt's Fifth Circle #5 (1/12 1/6 - comma) (Irregular) Neidhardt's Fifth Circle #6 (1/12 1/4 - comma) (Irregular) Neidhardt's Fifth Circle #7 (1/6 1/4 - comma) (Irregular) Neidhardt's Fifth Circle #9 (1/12 1/4 - comma) (Irregular) Neidhardt's Fifth-Circle #2 (1/6 - comma) (Irregular) Neidhardt's Fifth-circle #3 (1/6 - comma) (Irregular)(also called Unequal #1) Neidhardt's Fifth-circle #4 (1/4 - comma) (Irregular) Neidhardt's Sample Temperament #2 (1/12 1/6 35798 - comma) Neidhardt's Sample Temperament #3 (1/12 1/6 35798 - comma) Neidhardt's Third Circle #1 (1/12 1/6 35798 - comma) Neidhardt's Third Circle #3 (1/12 1/6 - comma) (Irregular) Neidhardt's Third Circle #4 (1/12 1/6 - comma) Neidhardt's Third Circle #5 (1/12 1/6 - comma) (Irregular) Neidhardt-MarpurgDeMorganPythag Neidhart Unequal #2 Neidhart's Division of the Syntonic Comma (Equal) Paul Bailey 1993 Paul Bailey Well 2002 Peter Prelleur well Pietro Aaron quarter syntonic Prelleur Well-Temperament Prinz Well-Temeperament Pythagorean Just (Just Intonation - 12 tones) Pythagorean Just Intonation - Diatonic Scale - Ionian Mode Ramarin-Beer 1/6 Syntonic Comma - Meantone Rameau's Modified Meantone (Irregular) Ramis' Monochord (Just) Reinhard's Monochord (Irregular) Rep 18th cent well Rep Victorian well ROBERT SMITH 50 Romieu's Monochord (Just) Rossi's 2/9-Comma Meantone Rousseau Equal Beating Rousseau's Monochord (Just) Salinas' 1/3 Comma Meantone Sauveur's 1/5 Comma System Schlick's Irregular Good Temperament Schlick's Tuning (Hypothetical #1) Schlick's Tuning (Hypothetical #2) Schröter's Approximation No. 1 (Equal) Schröter's Approximation No. 2 (Equal) Schröter's Column of Differences No. 1 (Equal) Schröter's Column of Differences No. 2 (Equal) Silbermann's 1/6-Comma Meantone Silbermann's 1/6-Comma Tuning Smith's 5/18-Comma Meantone Stanhope - Equal Beating Stanhope Equal Beating Stanhope's Temperament (1/3 - comma) (Irregular) Stevin's Equal Temperament Strähle's Temperament (Corrected by Barbour) (Equal) Strähle's Temperament (given by Faggot) (Equal) Symmetric Septenarium Temperament (1/7 - comma) (Irregular) Tchheng-thyen's Unequal Temperament Theoretical ChasEarl Stanhope Theoretical JJ Rousseau Theoretical JohnPreston well Theoretical Prinz well Tuner's Guide Tuner's Guide Becket quasi-equal (also Jean Jousse q-e) Tuner's Guide Marsh Q-E (same as Johann Nepomuk Hummel Q-E) Tuner's Guide well 1 Tuner's Guide well 2 Tuner's Guide well 3 Tuner's Guide Well-Temperament # 3 (1840) (Theoretically Correct) Vallotti Well Temperament Vallotti's Well Temperament (c. 1750) Vallotti-Young well Verheijen Rossi - 1/5 Comma Meantone Victorian Moore, year 1885 Viennese Q-E Von Wiese's #1 (1/2 - comma) (Irregular) Von Wiese's #3 (1/2 - comma) (Irregular) Wâng Phó's Pythagorean-type Monochord (Irregular) Wâng Phó's Unequal Temperament Well temperament - 1/4 Diatonic Comma Wendell 2002 Lite (Victorian) WT Werckmeister III Werckmeister III - Avery Werckmeister's 'Correct' #1 (1/4 - comma) -1691 (Irregular) Werckmeister's 'Correct' #2 (1/3 - comma) (Irregular) Werckmeister's 'Correct' #3 (1/4 - comma) (Irregular) Werckmeister's Septenarium (1/7 - comma) (Irregular) Young - Avery Young's #1 (1/12 3/16 - comma) (Irregular) Young's #2 (1/6 - comma) (Irregular) Young's Well Temperament #2 (1800) - equal beating Young's Well Temperament #2 (1800) - theoretically correct Zarlino's 2/7 Comma Meantone (Barbour) Zarlino's 2/7 Comma Meantone (Henderson) Zarlino's Pure Diatonic and Just Intonation - Ptolemy's Diatonic Syntonon Zarlino/symmetrical - 12-tone || ||| || ||| || ||| || ||| || ||| || ||| || ||| || ||| jason kanter * piano tuning * piano teaching bellevue, wa * 425 562 4127 * cell 425 831 1561 orcas island * 360 376 2799 || ||| || ||| || ||| || ||| || ||| || ||| || ||| || ||| > From: Newton Hunt <nhunt@optonline.net> > Reply-To: pianotech@ptg.org > Date: Wed, 27 Mar 2002 22:36:53 -0500 > To: pianotech@ptg.org > Subject: Re: Historic tuning modes > > Hi Jason, > > I downloaded the .pdf file and have looked at it but not studied it. > Maybe the final version should have a "significant" category to help > determine it's historical significant. Obviously 200 HTs would have > quite a few that were less significant than others in terms of who, when > and where they were used. > > I just love making more work for others. :) > > Newton
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