File:NotesHarmonicRatios.PNG
NotesHarmonicRatios.PNG (369 × 347 pixels, file size: 13 KB, MIME type: image/png)
Captions
Captions
Summary[edit]
| Description |
English: Comparison of notes (lines on the left half, with accidentals or "black keys" dashed) and ratios-between adjacent harmonics dropped down by integer division into a single octave (green lines on the right half). The equal-temperament scale (frequency-factor of 21/12 ≈ 1.059 between adjacent notes) on the left allows one to (at once) tune an instrument to play in any or all keys. The harmonic-ratio scale on the right may provide clues to the consonance & dissonance between different note pairs. |
| Date | |
| Source | Own work |
| Author | P. Fraundorf |
Additional information[edit]
On a piano keyboard in the base-note key, keys 1 (base-note), 3 (major 2nd), 5 (major 3rd), 6 (harmonic 4th), 8 (harmonic fifth), 10 (major 6th), and 12 (major 7th) are white while keys 2 (minor 2nd), 4 (minor 3rd), 7 (augmented 4th), 9 (minor 6th) and 11 (minor 7th) are black. For example, a harmonic 5th played together with the base (like G with C on the piano) vibrates three times for every two vibrations of the base, perhaps making the two notes sound reasonably in sync. A harmonic 4th (like F with C on the piano) vibrates 4 times for every 3 vibrations of the base, making the combined sound still reasonably pleasant compared to a minor second as long as the piano is reasonably-well tuned.
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 14:43, 15 March 2013 | | 369 × 347 (13 KB) | Unitsphere (talk | contribs) | User created page with UploadWizard |
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