More than 1600 diagrams , 175 tunings !

(Pinned post ) IMPORTANT :

For those of you who are familiar with cent values in several temperaments, please use the diagram called «Minor cent» in the beginning.

Here you will find cent values for fifths, major thirds and minor thirds within the same graph.

The red vectors is deviation from pure major third and blue vectors for minor third.

In the other diagrams I am using TU, but simply divide values by 30 to get a precise enough cent value.

Pythagorean comma = 23.46 cents = 720 TU

Syntonic comma = 21.51 cents = 660 TU.

(These numbers are easy to divide in 2,3,4,5,6...)

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The easiest way to get an overview of historical and newer tunings ! Read the Introduction (1) carefully and the diagrams will tell you much more than all the cent tables on the web.
Many of those who have found the key to the diagrams use this webside a lot.
If you have questions , let me hear, click HERE

CIRCULATING without pictures

Small pictures        


My definition :
No major third wider than a pythagorean third, 660 TU

The numbers are Standard Deviation for deviation from pure fifths and thirds , see  Introduction V





T E M P E R A M E N T Type Sum
5th
3th
Stanford Vogel 1/5 PC C 354 ( 114 + 240 )
Kelletat (1960) C 338 ( 84 + 254 )
Kirnberger II (1771) w/Spanyi`s fringing C 330 ( 107 + 223 )
Kelletat (1966) C 329 ( 81 + 248 )
Bach/Klais C 328 ( 82 + 246 )
Kirnberger III (1779) C 301 ( 79 + 222 )
Bach (Kellner, Well-Tempered) C 298 ( 77 + 221 )
Circulating 1/5 PC C 298 ( 74 + 224 )
Bach (Billeter, Well-Tempered) C 292 ( 76 + 216 )
Bendeler I C 286 ( 109 + 177 )
Werckmeister III C 282 ( 89 + 193 )
Ammerbach (1583)(Interpretation 1) C 277 ( 117 + 160 )
Bruder 1829 (mod.) C 276 ( 84 + 192 )
Kellner C 271 ( 74 + 197 )
Nigel Taylors Idealised Circulating C 269 ( 70 + 199 )
Stanford var.1/6 PC TUngland C 258 ( 96 + 162 )
Werckmeister V C 257 ( 117 + 140 )
Utopa Baroque organ, Amsterdam C 255 ( 67 + 188 )
Bendeler II C 254 ( 109 + 145 )
Vallotti C 254 ( 63 + 191 )
Young II C 254 ( 63 + 191 )
Wiegleb 1790 C 253 ( 64 + 189 )
Idealised well C 252 ( 59 + 193 )
Stanford Lindley sugg II (from Lehman ) C 249 ( 72 + 177 )
Werckmeister III (Poletti) C 242 ( 78 + 164 )
Neidhardt Dorf (1732) C 238 ( 68 + 170 )
Barnes (1977) C 233 ( 63 + 170 )
Mobbs MacKenzie (2005) 1/4 SC C 230 ( 65 + 165 )
Young 1800 3/16 C 226 ( 53 + 173 )
Wiegleb C 223 ( 57 + 166 )
Young I C 217 ( 51 + 166 )
Stanford var.1/7 PC TUngland C 216 ( 82 + 134 )
Veroli Bach WTC Optimal(2008) C 215 ( 57 + 158 )
Maunder b (2005) C 215 ( 54 + 161 )
Lambert C 213 ( 53 + 160 )
Vallotti (Mod.) C 212 ( 52 + 160 )
Werckmeister V (Poletti) C 211 ( 105 + 106 )
Jencka C 208 ( 55 + 153 )
Syntonic comma (5-Split) C 208 ( 53 + 155 )
Bach/Lehman C 203 ( 63 + 140 )
Lindley (1994) (demo-tape) C 201 ( 48 + 153 )
Broadwoods best tuning 1885 C 194 ( 54 + 140 )
Werckmeister continuo 1/8 PC C 190 ( 50 + 140 )
Neidhardt Kleine Stadt 1732 C 184 ( 51 + 133 )
Jägermeister 7.2 Hz C 183 ( 47 + 136 )
Bendeler III C 178 ( 89 + 89 )
Lehman (Bach) (2004) 1/6 SC C 175 ( 126 + 49 )
Mercadier C 175 ( 44 + 131 )
1/7 Comma Well Temperament C 173 ( 48 + 125 )
1/8 comma well temperament C 173 ( 44 + 129 )
Jira (2000) geschlossen temperament C 168 ( 51 + 117 )
Maunder c (2005) C 166 ( 43 + 123 )
Francis (2005) C 166 ( 43 + 123 )
Sorge 1744 Anweisung zur stimmung p23 #2 C 164 ( 44 + 120 )
Jorgensen/ "Händel" circ. 1 25 PC C 160 ( 47 + 113 )
 Neidhardt 3rd circle C 159 ( 63 + 96 )
Lindley (1994) "Average Neidhardt" C 157 ( 40 + 117 )
Neidhardt 1732 Grosse Stadt C 156 ( 44 + 112 )
Sorge 1744 Anweisung zur stimmung p23 #1 C 156 ( 44 + 112 )
Sorge 1744 (from Lehman) C 150 ( 51 + 99 )
Barnes (1971) C 148 ( 44 + 104 )
Sorge (1741) Genealogia C 146 ( 44 + 102 )
Pinnock Modern C 145 ( 38 + 107 )
Sorge 1758 Zuverlässige Anweisung p.20 C 133 ( 44 + 89 )
Neidhardt Grosse Stadt 1724 C 133 ( 44 + 89 )
Lucktenberg C 133 ( 44 + 89 )
Bach O Donnell C 132 ( 51 + 81 )
Marpurg VII C 109 ( 109 + 0 )
Marpurg X C 63 ( 63 + 0 )
Equal C 0 ( 0 + 0 )

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