Date

Quarters

Type

Country

ET_MD

ET_SD

JST_MD

JST_SD

PTH_MD

PTH_SD

van Zwolle (transposed Pythagorean)

1440

1

P

France

7.11

8.61

15.91

21.69

4.44

10.62

Erlangen (anonymous, transposed Pythagorean

1475

1

P

Germany

6.73

8.07

10.00

15.56

10.00

15.56

Ramis (transposed Pythagorean)

1482

1

P

Spain

9.09

10.99

9.82

15.28

14.18

18.65

Pythagorean (published by Hugo de Reutlingen)

1488

1

P

France

7.64

9.34

20.00

26.03

0.00

0.00

Grammateus'

1518

1

MMT

Germany

4.73

5.87

14.55

19.49

5.45

8.49

Meantone (-1/4 Aron)

1523

1

MT

Italy

13.00

15.96

6.09

7.40

20.64

25.30

Fogliano 1-2

1529

1

J

Italy

15.82

19.77

4.00

9.50

22.00

28.68

Agricola

1539

2

J

Germany

5.82

6.75

13.82

18.18

6.18

12.07

Ganassi (just w/mean semitones)

1543

2

MMT

Italy

11.36

13.53

12.27

19.06

16.45

19.62

Agricola

1545

2

WT

Germany

8.36

9.92

15.27

22.32

4.73

9.21

Bermudo's Vihuela

1555

2

WT

Spain

2.59

3.62

14.10

17.70

7.25

10.38

Zarlino (-2/7)

1558

2

MT

Italy

14.82

17.76

10.45

16.58

19.55

24.77

Salinas (-1/3)

1577

2

MT

Spain

19.82

24.29

8.91

11.30

27.45

33.63

Schneegass (geometric)

1590

2

MT

Germany

9.82

11.76

9.82

14.69

15.27

19.00

Artusi 1-2

1603

2

MMT

Italy

6.14

7.55

13.32

17.26

11.95

14.54

Reinhard (just w/mean semitones)

1604

2

MMT

Germany

8.09

10.41

10.27

17.36

12.45

16.59

De Caus

1615

2

J

Germany

16.73

20.80

9.82

17.93

21.82

28.54

Colonna 1-2

1618

2

MJ

Italy

18.36

25.31

11.45

20.49

21.64

31.93

Kepler 1-2

1619

2

J

Germany

9.27

11.22

6.91

14.29

13.09

17.73

Mersenne 1-2

1636

3

J

France

13.18

16.43

10.64

19.33

15.18

21.64

Mersenne Improved Meantone 1-2

1648

3

MMT

France

12.27

15.74

8.36

11.36

18.91

24.63

Rossi 1/5 and 2/9

1666

3

MT

Italy

10.09

12.40

7.00

8.17

17.73

21.73

Werckmeister 1-6

1691

3

WT

Germany

5.54

6.74

10.98

13.92

11.73

15.14

Neidhardt's 1st Pub

1706

3

WT

Germany

2.67

3.39

12.92

16.33

9.09

11.42

Malcolm 1-2

1721

4

J

England

8.23

10.23

10.23

18.87

10.41

15.00

Neidhardt's 2nd Pub

1724

4

WT

Germany

3.55

4.12

12.09

15.15

10.45

12.78

Rameau's Modified Meantone

1726

4

MMT

France

9.27

11.05

9.09

11.31

16.55

19.91

Neidhardt's 3rd Pub

1732

4

MJ

Germany

7.09

8.19

10.00

14.18

12.73

16.46

Bendeler 1-3

1739

4

WT

Germany

6.00

6.79

12.06

15.25

11.45

14.75

Euler

1739

4

J

Russia

15.27

19.12

7.64

18.78

19.64

25.71

Leven 1-2

1743

4

LD

France

11.14

15.80

19.59

26.87

9.50

14.51

Silbermann (-1/6)

1748

4

MT

Germany

6.18

7.52

8.91

11.02

13.82

16.86

Harrison (-3/10)

1749

4

MT

England

17.00

20.86

7.18

8.97

24.64

30.20

Smith (5/18)

1749

4

MT

England

15.27

18.68

6.55

7.95

22.91

28.01

Gallimard's Modified Meantone 1-2

1754

4

MMT

France

10.64

12.51

9.27

11.31

17.45

21.34

Montvallon

1758

4

J

France

8.55

10.45

6.00

12.05

14.00

18.41

Rousseau

1768

4

J

France

17.09

22.61

11.64

25.19

20.00

27.52

Marpurg's Pub

1776

4

WT

Poland

5.06

6.42

10.85

14.60

10.94

14.06

Mercadier (1/12,1/6)

1777

4

WT

France

4.18

4.88

11.64

14.72

10.73

13.63

Kirnberger 1&3

1779

4

WT

Germany

7.36

8.65

9.18

13.86

12.30

16.85

Vallotti Circulating

1781

4

WT

Italy

4.73

5.87

10.91

14.28

12.00

14.59

von Wiese 1-3

1793

4

WT

Germany

5.61

6.82

12.94

17.47

7.06

11.83

Young 1-2

1800

4

WT

England

5.45

6.58

10.73

14.20

11.82

15.22

Stanhope (1/3 comma)

1806

4

WT

England

7.00

8.44

9.18

13.86

12.27

16.74