File:Size of intervals in 5-limit tuning.PNG
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| Description |
English: Sizes in cents of the 156 intervals in the C-based 5-limit tuning system. The selected ratios are listed below. Bold font indicates just intervals. The values were accurately computed using Microsoft Excel, then rounded to integers. The image was produced using Microsoft Excel and captured with Microsoft Snipping Tool. |
| Date | |
| Source | Own work |
| Author | Paolo.dL |
The frequency ratios selected for this 12-tone scale, and the elementary factors from which they were computed, are shown in this table:
| Symmetric scale 1 | ||||||
|---|---|---|---|---|---|---|
| Factor | 1/9 | 1/3 | 1 | 3 | 9 | |
| 5 | A 5/3 |
E 5/4 |
B 15/8 |
F♯ 45/32 | ||
| 1 | B♭ 16/9 |
F 4/3 |
C 1 |
G 3/2 |
D 9/8 | |
| 1/5 | D♭ 16/15 |
A♭ 8/5 |
E♭ 6/5 |
|||
− Paolo.dL (talk) 08:36, 7 July 2010 (UTC)
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I, the copyright holder of this work, hereby publish it under the following licenses:
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License. |
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 10:46, 6 July 2010 | | 535 × 437 (31 KB) | Paolo.dL (talk | contribs) | Marking all just intervals (not only the purest ones) |
| 23:04, 2 July 2010 |  | 534 × 442 (31 KB) | Paolo.dL (talk | contribs) | Discarding the left end of the circle of fifths (G-flat), rather than the right end (F-sharp), to obtain the necessary 12 notes. That's the only possible arbitrary choice. The choice of base note does not affect the pattern of values. | |
| 17:54, 1 July 2010 |  | 534 × 442 (31 KB) | Paolo.dL (talk | contribs) | Reduced column width, shortened interval names. The image was too large for Wikipedia. | |
| 16:02, 1 July 2010 |  | 631 × 434 (36 KB) | Paolo.dL (talk | contribs) | Showing wolf minor thirds and major sixths (as well as the major thirds and minor sixths, they deviate about 41 cents from the corresponding just interval) | |
| 15:44, 1 July 2010 |  | 631 × 434 (36 KB) | Paolo.dL (talk | contribs) | {{Information |Description={{en|1=Sizes in cents of the 156 intervals in the 5-limit tuning system (scale starting from C). Bold font indicates the purest just intervals. The values were accurately computed using Microsoft Excel, then rounded to integers. |
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