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Temperaments of Instrument-Tuner

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The following table shows the temperaments of Instrument-Tuner by cents deviation from equal tempered scale. The values are relative to the keynote C.

NameCC#DD#EFF#GG#AA#B
Equal Tempered, Perfect Octave0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000
Equal Tempered, Perfect Fourth3.5193.1282.7372.3461.9551.5641.1730.7820.3910.000-0.391-0.782
Equal Tempered, Perfect Fifth-2.514-2.235-1.956-1.677-1.397-1.118-0.838-0.559-0.2800.0000.2790.558
Equal Tempered, Streched (1.0 Cent)-0.750-0.667-0.583-0.500-0.417-0.333-0.250-0.167-0.0830.0000.0830.167
Equal Tempered, Streched (1.25 Cent)-0.938-0.834-0.730-0.625-0.521-0.417-0.313-0.209-0.1050.0000.1040.208
Equal Tempered, Streched (1.5 Cent)-1.125-1.000-0.875-0.750-0.625-0.500-0.375-0.250-0.1250.0000.1250.250
Just Tempered (Schugk)15.641-13.68619.55131.2821.95513.6865.86417.59629.3270.00033.2373.910
Just Tempered (Barbour)15.641-13.68619.55131.2821.95513.6865.86417.596-11.7320.00033.2373.910
Naturally harmonious (Thirds)15.64127.37219.55131.2821.95513.6865.86417.59629.3270.00011.7313.910
Naturally harmonious15.64127.37219.55131.2821.95613.6865.86417.59629.3270.00033.2373.910
Pythagorean-5.8657.820-1.955-11.7301.955-7.8205.865-3.9109.7750.000-9.7753.910
Pythagorean (Perfect)15.6407.82019.55011.7301.95513.6855.86517.5959.7750.00011.7303.910
Pythagorean (Fifth chain Cb - E)-5.865-15.640-1.955-11.7301.955-7.820-17.595-3.910-13.6850.000-9.775-19.550
Pythagorean (Fifth chain Db - F#)-5.865-15.640-1.955-11.7301.955-7.8205.865-3.910-13.6850.000-9.7753.910
Pythagorean (Fifth chain Ebb - G)17.5957.820-1.95511.7301.95515.6405.86519.5509.7750.00013.6853.910
Pythagorean (Fifth chain Fb - A)-5.865-15.640-1.955-11.730-21.505-7.820-17.595-3.910-13.6850.000-9.775-19.550
Pythagorean (Fifth chain F - A#)-5.8657.820-1.95511.7301.955-7.8205.865-3.9109.7750.00013.6853.910
Pythagorean (Fifth chain Gb - B)-5.865-15.640-1.955-11.7301.955-7.820-17.595-3.910-13.6850.000-9.7753.910
Pythagorean (Fifth chain Ab - C#)-5.8657.820-1.955-11.7301.955-7.8205.865-3.910-13.6850.000-9.7753.910
Pythagorean (Fifth chain Bb - D#)-5.8657.820-1.95511.7301.955-7.8205.865-3.9109.7750.000-9.7753.910
Meantone8.798-9.7752.93315.640-2.93211.731-7.8195.865-10.7520.00013.686-5.864
Meantone # (-1/4)10.265-13.6863.422-20.529-3.42113.686-10.2656.843-17.1080.000-23.951-6.843
Meantone b (-1/4)10.26527.3733.42220.530-3.42113.68630.7946.84323.9510.00017.108-6.843
Meantone (-1/4) (LargeThird)10.265-13.6863.42220.530-3.42113.686-10.2656.843-17.1080.00017.108-6.843
Meantone (Small third)15.642-20.8565.21431.284-5.21420.856-15.64210.428-26.0700.00026.070-10.428
Meantone (Homogeneous)7.038-9.3842.34614.076-2.3469.384-7.0384.692-11.7300.00011.730-4.692
Meantone (Homogeneous third)12.570-16.7604.19025.140-4.19016.760-12.5708.380-20.9500.00020.950-8.380
Meantone (Homogeneous gradated)4.887-6.5161.6299.775-1.6296.516-4.8893.258-8.1450.0008.145-3.258
Comma - Temperament (1/7)3.351-4.4681.1176.702-1.1174.468-3.3512.234-5.5850.0005.585-2.234
Comma - Temperament (1/8)2.199-2.9320.7334.398-0.7332.932-2.1991.466-3.6650.0003.665-1.466
Comma - Temperament (1/9)1.305-1.7400.4352.610-0.4351.740-1.3050.870-2.1750.0002.175-0.870
Comma - Temperament (2/9)8.472-11.2962.82416.944-2.82411.296-8.4725.648-14.1200.00014.120-5.648
Comma - Temperament (1/10)0.588-0.7840.1961.176-0.1960.784-0.5880.392-0.9800.0000.980-0.392
Comma - Temperament (3/11)11.730-15.6403.91023.460-3.91015.640-11.7307.820-19.5500.00019.550-7.820
Pythagorei comma (3-Split)9.7750.000-1.9553.9101.9557.820-1.9553.9101.9550.0005.8653.910
Pythagorei comma (4-Split)5.8651.955-1.9550.0001.9553.9100.0001.9553.9100.0001.955-1.955
Pythagorei comma (5-Split)8.211-1.5642.7372.346-2.7376.256-3.5195.4740.3910.0004.301-5.474
Pythagorei comma (6-Split)5.865-3.9101.9550.000-1.9553.910-5.8653.910-1.9550.0001.955-3.910
Pythagorei comma (6 & 12-Split)5.865-3.9101.9557.820-1.9557.820-3.9103.910-3.9100.0007.820-3.910
Syntonic comma (2-Split)15.641-13.6868.79831.2821.95513.686-4.88817.596-11.7310.00022.4843.910
Syntonic comma (4-Split)10.264-3.9103.4214.399-3.4228.309-10.2656.8422.4440.0006.354-6.844
Syntonic comma (5-Split)7.0381.1732.3463.519-2.3465.8650.0004.6922.3460.0004.692-1.173
Diatonic (Chromatic addition)15.631-13.69619.54131.2721.94513.6765.85517.586-11.7410.00011.7213.900
Organ of Freiberg (Silbermann-Orgel, 1985)3.910-5.8650.0001.955-1.9553.910-5.8651.955-5.8650.0003.910-3.910
Organ of Fribourg (Manderscheidt-Orgel, 1640)7.820-0.9782.93314.662-4.8878.798-2.9335.865-10.7520.00012.708-4.887
Organ of Hamburg (Schnitger-Orgel, 1993)7.038-5.0832.3463.128-2.3469.384-7.0384.692-3.1280.0007.429-4.692
Organ of Maihingen (Baumeister-Orgel, 1737)3.910-10.7522.9339.775-8.7974.888-12.7075.865-14.6620.000-1.955-9.775
Organ of Muri (Evangelien-Orgel)8.798-10.7523.91114.663-2.93210.753-8.7977.821-11.7300.0009.775-5.864
Organ of Niederbobritzsch (Göthel-Orgel)0.000-1.9552.444-1.955-0.9783.4210.489-0.977-1.9550.0001.466-5.865
Organ of Weingarten (Gabler-Orgel, 1750)6.399-8.5322.13312.798-2.1338.532-6.3994.266-10.6650.00010.665-4.266
Organ of Weingarten (Gabler-Orgel, 1983)4.8880.0000.9786.354-0.9773.910-3.9102.9332.9330.0006.354-3.909
Agricola (Martin, 1539, 1543, 1545)-5.865-13.686-1.955-9.7761.955-7.820-15.641-3.910-11.7310.000-9.7753.910
Ammerbach (1571)5.865-7.8203.9108.798-1.9553.910-3.9107.820-9.7750.0004.888-1.955
Ammerbach (1583, Interpretation 1)6.135-4.1804.0456.2701.9554.180-0.1358.090-2.2250.0008.2253.910
Ammerbach (1583, Interpretation 2)6.135-8.1804.0459.270-2.0454.180-4.1358.090-10.2250.0005.225-2.090
Bach (Billeter, Well-Tempered)4.888-2.9324.8880.978-4.8874.888-4.8874.888-0.9770.0002.933-4.887
Bach (Kelletats, 1966)9.124-0.6514.5633.259-4.5637.169-2.6069.1261.3040.0005.214-4.561
Bach (Kellner, Well-Tempered)9.774-0.0013.2583.909-3.2587.819-1.9566.5161.9540.0005.864-1.303
Bach (Kellner, 1977)8.211-1.5642.7372.346-2.7376.256-3.5195.4740.3910.0004.301-0.782
Bach (Klais)7.491-1.9533.7411.852-4.8785.651-3.8157.512-0.0200.0003.770-5.700
Barnes (1971)2.933-0.9770.9780.000-0.9773.911-2.9321.9560.9780.0001.956-1.955
Barnes (1977)5.8650.0001.9553.910-1.9557.820-1.9553.9101.9550.0005.8650.000
Bendeler (Fractions)10.4560.681-1.9554.5911.9558.501-1.2743.2292.6360.0006.5463.910
Bendeler III5.8651.955-1.9550.0001.9553.9100.0001.9553.9100.0001.955-1.955
Bermudo (1555)-1.955-1.955-1.955-7.820-1.955-3.910-3.9100.0000.0000.000-5.8650.000
Bossart I5.865-3.9103.91014.663-3.9109.775-5.8654.8880.0000.00013.685-4.888
Bossart II5.8650.0000.97814.6630.0009.775-1.9554.8881.9550.00010.7531.955
Bossart III5.865-0.9783.91011.730-3.9109.775-2.9334.8882.9320.00010.753-4.888
Bruder (1829)2.933-1.9555.8660.000-5.8651.955-3.4224.399-0.9770.0000.978-4.887
Ganassi (1543)15.6414.442-1.955-3.0011.95513.68612.64117.5966.3970.000-1.0463.910
Goebel (1967)-0.1690.1090.2080.1280.118-0.1400.0260.020-0.0190.000-0.051-0.117
Grammateus (1518)-5.865-3.910-1.9550.0001.955-7.820-5.865-3.910-1.9550.000-9.7753.910
Kelletat (1960)7.820-1.9553.9101.955-4.8875.865-3.9107.8200.0000.0003.910-5.865
Kelletat (1966)7.820-1.9553.9101.955-3.9105.865-3.9107.8200.0000.0003.910-5.865
Kellner8.211-1.5642.7372.346-2.7376.256-3.5195.4740.3910.0004.301-0.782
Kircher15.640-13.68519.550-9.7751.95513.6855.86517.595-11.7300.000-7.8203.910
Kirnberger I (1766)15.6405.86519.5509.7751.95513.6855.86517.5957.8200.00011.7303.910
Kirnberger II (1771)4.888-4.8878.798-0.977-8.7982.933-4.8886.843-2.9320.0000.978-6.843
Kirnberger II (1776)5.865-3.9109.7750.000-9.7753.910-5.8657.820-1.9550.0001.955-7.820
Kirnberger III (1779)10.2640.4893.4214.399-3.4228.3090.4886.8422.4440.0006.354-1.467
Lambert (1774)4.190-2.2341.3971.676-1.3965.586-4.1892.793-0.2790.0003.631-2.793
Lublin (1540)1.090-13.686-1.9552.1801.9556.0905.8653.045-11.7310.0004.1353.910
Malcolm (Alexander, 1721)15.64120.59619.55113.1541.95513.68618.64117.59611.1990.0004.9553.910
Marpurg I15.6405.86519.5509.7751.95513.6855.86517.5957.8200.00011.7303.910
Marpurg II-5.8653.910-1.9557.8201.955-7.8201.955-3.9105.8650.0009.7750.000
Marpurg III-5.865-9.775-1.955-5.8651.955-7.820-11.730-3.910-7.8200.000-9.775-13.685
Marpurg IV-5.865-7.820-1.955-11.7301.955-7.820-9.775-3.910-5.8650.000-9.775-11.730
Marpurg V-5.865-1.955-1.9551.9551.955-7.820-3.910-3.9100.0000.0003.910-5.865
Marpurg VI-5.865-3.910-1.9550.0001.955-7.820-5.865-3.910-1.9550.0001.9553.910
Marpurg VII1.9550.000-1.955-3.9101.9550.000-1.955-3.9101.9550.000-1.955-3.910
Marpurg VIII0.0001.955-1.9550.0001.955-1.9550.000-3.910-1.9550.0001.955-1.955
Marpurg IX-5.865-3.910-1.9550.0001.955-1.9550.000-3.910-1.9550.0001.9553.910
Marpurg X1.9550.0001.9550.0001.9550.0001.9550.0001.9550.0001.9550.000
Marpurg XI-5.8650.000-1.955-3.9101.955-7.8201.955-3.910-1.9550.000-5.8653.910
Marpurg XII-7.8203.910-1.955-11.730-1.955-7.8201.955-3.9105.8650.000-9.7750.000
Meister4.88816.6183.42220.528-3.4212.93314.6636.84318.5730.0000.978-6.842
Mersenne (Fractions)15.640-13.68519.55031.2801.95513.685-15.64017.59529.3250.00011.7303.910
Mersenne (Marin, 1636)5.1311.710-1.711-5.132-8.553-6.843-5.132-3.422-1.7110.0001.7103.421
Neidhardt (1724, Grosse Stadt)5.8651.9551.9553.9100.0003.9101.9551.9551.9550.0003.9101.955
Neidhardt (1732, Dorf)5.8650.0003.9101.955-3.9103.910-1.9555.8650.0000.0003.910-1.955
Neidthardt I5.8650.0001.9551.955-1.9553.910-1.9553.9101.9550.0001.955-1.955
Neidthardt II5.8651.9551.9553.9100.0005.8651.9553.9101.9550.0005.8651.955
Neidthardt III5.8651.9551.9553.9100.0003.9101.9553.9101.9550.0003.9101.955
Rameau11.730-3.9103.9100.000-3.91015.640-5.8657.820-1.9550.0007.820-7.820
Rameau (-1/4)10.265-2.9333.422-4.561-3.42113.686-4.8886.843-0.9780.0004.562-6.843
Ramis de Pareia (1482)15.6417.820-1.9559.7761.95513.6865.86517.5967.8210.00011.7313.910
Reinhard (Andreas, 1604)15.64114.59619.5518.3521.95513.68612.64117.5966.3970.000-1.0463.910
Rossi (-1/5)7.039-9.3852.34614.078-2.3469.385-7.0394.693-11.7310.00011.731-4.693
Rossi (-2/9)8.473-11.2962.82416.945-2.82411.297-8.4725.648-14.1210.00014.121-5.648
Salinas (-1/3)15.642-20.8545.21431.283-5.21320.856-15.64110.428-26.0680.00026.069-10.427
Schlick (Barbour)5.865-3.9101.9557.820-1.9557.820-3.9103.9101.9550.0007.820-3.910
Schlick (Dupont)10.266-13.6883.42220.532-3.42213.688-10.2666.8443.4220.00017.110-6.844
Schlick (Lange)6.231-8.3082.07712.462-2.0778.308-6.2314.1546.4750.00010.385-4.154
Schlick (Ratte)5.865-5.8651.9559.775-1.9557.820-3.9103.9105.8650.0007.820-3.910
Schlick (Schugk)8.211-10.9482.73716.422-2.73710.948-8.2115.47419.1590.00013.685-5.474
Schlick (Tessmer)7.331-4.8882.4449.775-2.4449.775-4.8884.8875.8650.0009.775-4.888
Schlick (Vogel)8.211-6.2562.7372.346-2.73710.948-8.2115.474-4.3010.0008.993-5.474
Schneegass I (1590)10.340-13.7863.44720.680-3.44613.787-10.3406.893-17.2330.00017.233-6.893
Schneegass II (1590)10.341-10.6553.44720.682-0.31413.788-7.2086.894-14.1020.00017.235-3.761
Schneegass III (1590)10.198-9.0204.27018.306-1.44911.105-8.5766.158-14.4630.00015.656-4.319
Silbermann (-1/6)4.889-6.5171.6309.777-1.6296.518-4.8883.259-8.1460.0008.147-3.258
Silbermann (1/6)5.865-7.8201.95511.730-1.9557.820-5.8653.910-9.7750.0009.775-3.910
Sorge5.8651.9551.9553.9100.0003.9101.9553.9103.9100.0003.9101.955
Stanhope (1801)9.7750.0005.8653.910-5.8657.820-1.95511.7301.9550.0005.865-3.910
Trost (Johann Caspar, 1677)-3.421-6.8423.422-6.842-3.4210.000-3.421-6.842-10.2630.0003.421-13.685
Valotti (1754)5.8650.0001.9553.910-1.9557.820-1.9553.9101.9550.0005.865-3.910
Van Zwolle-5.865-15.640-1.955-11.7301.955-7.820-17.595-3.910-13.6850.000-9.7753.910
Veroli (Ordinaire)10.266-8.7993.422-1.464-3.4228.311-8.7996.844-6.8440.0004.401-6.844
Werckmeister I11.7301.9553.9105.8651.9559.7750.0007.8203.9100.0007.8203.910
Werckmeister II9.775-7.8205.8653.9101.9557.820-1.9553.910-5.8650.00013.685-3.910
Werckmeister III0.000-3.9103.9100.000-3.9103.9100.0001.955-7.8200.0001.955-1.955
Werckmeister IV7.539-2.236-5.3075.0261.9555.5842.5136.090-0.2810.0006.9813.910
Wiegleb5.865-1.9551.9551.9550.0005.865-3.9103.9100.0000.0003.910-1.955
Wiegleb (1790)8.7980.0002.9333.9110.0007.820-1.9555.8651.9560.0005.865-0.977
Young I5.8650.0001.9553.910-1.9555.865-1.9553.9101.9550.0005.865-1.955
Young II5.865-3.9101.9550.000-1.9553.910-5.8653.910-1.9550.0001.955-3.910
Zarlino (-2/7)12.569-16.7594.19025.138-4.19016.758-12.5698.379-20.9490.00020.948-8.380

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