File:Interval ratios in D-based symmetric Pythagorean tuning (powers of 2 & 3).PNG
Interval_ratios_in_D-based_symmetric_Pythagorean_tuning_(powers_of_2_&_3).PNG (544 × 340 pixels, file size: 32 KB, MIME type: image/png)
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| Description |
English: Frequency ratios of the 144 intervals in the D-based Pythagorean tuning system. Bold font indicates just intervals. Wolf intervals are highlighted in red. 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 |
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.
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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 | 23:21, 27 July 2010 | | 544 × 340 (32 KB) | Paolo.dL (talk | contribs) | {{Information |Description={{en|1=Frequency ratios of the 144 intervals in the D-based Pythagorean tuning system. Bold font indicates just intervals. Wolf intervals are highlighted in red. The values were accurately computed using Microsoft Excel. The ima |
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