File:Music Scale Comparison.png
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Summary
| Description |
English: 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. |
| Source | Own work |
| Author | David_Harty (talk) (Uploads) |
Dataset
| 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 |
Licensing
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I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:29, 22 June 2005 | | 578 × 577 (8 KB) | wikimediacommons>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. |
File usage
The following page uses this file:
