The following tables list various mathematical aspects of classical music scales, both Indian and Western. The 'Multiplier' values are fractions which, when multiplied to the frequency of the first note ( Sa or C ), give the value of frequency of specified note. For example, if the frequency of Sa is 240, then by the table we have
Multiplier of Ma (F) = 4/3
Frequency of Ma (F) = 4/3 x Frequency of Sa (C) = 4/3 x 240 = 320
The mutual distances are relative ratios of frequencies of two notes. These are calculated by dividing the frequencies of the notes. For example, the mutual distance between Ma (F) and Pa (G) is
Frequency of Pa (G) = 360
Frequency of Ma (F) = 320
Mutual Distance between Pa and Ma = 360/320 = 9/8
| Notes |
Sa
| C |
Re
| D |
Ga
| E |
Ma
| F |
Pa
| G |
Dha
| A |
Ni
| B |
S*
| C* |
|||||||||
| Multiplier |
1 |
9/8 |
5/4 |
4/3 |
3/2 |
27/16 |
15/8 |
2 |
|||||||||
| Mutual Distances |
9/8 |
10/9 |
16/15 |
9/8 |
9/8 |
10/9 |
16/15 |
||||||||||
| Notes |
Sa
| C |
Re
| D |
Ga
| E |
Ma
| F |
Pa
| G |
Dha
| A |
Ni
| B |
S*
| C* |
|||||||||
| Multiplier |
1 |
9/8 |
5/4 |
4/3 |
3/2 |
5/3 |
15/8 |
2 |
|||||||||
| Mutual Distances |
9/8 |
10/9 |
16/15 |
9/8 |
10/9 |
9/8 |
16/15 |
||||||||||
| Symbol |
Explanation |
| # |
Sharp |
| b |
Flat |
| N* |
Note (e.g. N) of higher octave |
| N* |
Note (e.g. N) of lower octave |
| ND,
RG |
Denotes trace note (kana) of 1st (N) while approaching 2nd (D) |
| D~G |
Denotes Meend or continuous gliding movement from one (e.g. D) to another note (e.g. G) |
| - |
Denotes the modulated continuation of previous note |