File:Interval ratios in C-based symmetric 5-limit tuning.PNG
Interval_ratios_in_C-based_symmetric_5-limit_tuning.PNG (655 × 434 pixels, file size: 47 KB, MIME type: image/png)
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Summary[edit]
| Description |
English: Frequency ratios of the 144 intervals in the C-based 5-limit tuning system (symmetric scale). The selected ratios are listed below. Bold font indicates just intervals. The values were accurately computed using Microsoft Excel. 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 |
|||
Wolf intervals are operationally defined herein as intervals composed of 3, 4, 5, 7, 8, or 9 semitones (i.e. major and minor thirds or sixths, perfect fourths or fifths, and their enharmonic equivalents) the size of which deviates by more than one syntonic comma (about 21.5 cents) from the corresponding justly intonated interval. Intervals made up of 1, 2, 6, 10, or 11 semitones (e.g. major and minor seconds or sevenths, tritones, and their enharmonic equivalents) are considered to be dissonant even when they are justly tuned, thus they are not marked as wolf intervals even when they deviate from just intonation by more than one syntonic comma.
− Paolo.dL (talk) 11:08, 29 July 2010 (UTC)
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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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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 10:41, 19 August 2010 | | 655 × 434 (47 KB) | Paolo.dL (talk | contribs) | Inserting names of commas (diaschisma, lesser diesis) |
| 11:20, 29 July 2010 |  | 655 × 434 (46 KB) | Paolo.dL (talk | contribs) | {{Information |Description={{en|1=Frequency ratios of the 144 intervals in the C-based 5-limit tuning system (asymmetric construction table). The selected ratios are listed below. Bold font indicates just intervals. The values were accurately computed usi |
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