Dosiero:Music Scale Comparison.png
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La bildo estas kopiita de wikipedia:en. La originala priskribo estas:
The file is a graph which compares harmonic ratios used in music to mathematical progrossions. The graph is created in an Excel file and the data for the graph calculated in the program from mathematical expressions and established harmonic ratios. A table of data goes along with the graph and identifies the notes, decimal value and harmonic ratio. A brief description discusses how harmonic ratios are related to linear mathematical progression rather than the geometric progression (Equal Tempered Scale). The geometric progression closely compares, however, to the double linear progression. The blank cells in the table are intentionally left blank because they are the same as the octave sequence shown but part of the previous or subsequent octave. The decimal value and decimal slope continuously progress.
| Name | Octave Note | Note Step | Linear Step | Decimal Value | Decimal Slope | Harmonic Ratio |
|---|---|---|---|---|---|---|
| 0 6 | 0.875 | 0.0625 | ||||
| 1 | 0.9375 | |||||
| C | 1 | 0 | 2 | 1 | 1:1 | |
| C-sharp | 2 | 1 | 3 | 1.0625 | 17:16 | |
| D | 3 | 2 | 4 | 1.125 | 9:8 | |
| D-sharp | 4 | 3 | 5 | 1.1875 | 19:16 | |
| E | 5 | 4 | 0 6 | 1.25 | 0.08333 | 5:4 |
| F | 6 | 5 | 1 | 1.3333 | 4:3 | |
| F-sharp | 7 | 6 | 2 | 1.4167 | 17:12 | |
| G | 8 | 7 | 3 | 1.5 | 3:2 | |
| G-sharp | 9 | 8 | 4 | 1.5833 | 19:12 | |
| A | 10 | 9 | 5 | 1.6667 | 5:3 | |
| A-sharp | 11 | 10 | 0 6 | 1.75 | 0.125 | 7:4 |
| B | 12 | 11 | 1 | 1.875 | 15:8 | |
| C' | 13 | 12 | 2 | 2 | 2:1 | |
| 3 | 2.125 | |||||
| 4 | 2.25 | |||||
| 5 | 2.375 | |||||
| 0 6 | 2.5 | 0.16667 |
| date/time | username | edit summary |
|---|---|---|
| 15:27, 24 June 2005 | en:User:David Harty | (added two rows to show start of linear progression and 4 rows to show the end of the linear progression) |
| 00:44, 24 June 2005 | en:User:David Harty | |
| 00:00, 24 June 2005 | en:User:David Harty | |
| 21:16, 22 June 2005 | en:User:David Harty | |
| 19:29, 22 June 2005 | en:User:David Harty | (The file is a graph which compares harmonic ratios used in music to mathematical progrossions. The graph is created in an Excel file and the data for the graph calculated in the program from mathematical expressions and established harmonic ratios.) |
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- (del) (cur) 19:29, 22 June 2005 . . en:User:David_Harty David Harty ( en:User_talk:David_Harty Talk) . . 578x577 (8478 bytes) (The file is a graph which compares harmonic ratios used in music to mathematical progrossions. The graph is created in an Excel file and the data for the graph calculated in the program from mathematical expressions and established harmonic ratios.)
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- (for) (nun) 20:51, 18. Mar 2006 . . Maksim-bot (Diskuto | kontribuoj) . . 578×577 (8 478 bitokoj) (La bildo estas kopiita de wikipedia:en. La originala priskribo estas: The file is a graph which compares harmonic ratios used in music to mathematical progrossions. The graph is created in an Excel file and the data for the graph calculated in the progr)
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