File:Size of intervals in D-based symmetric Pythagorean tuning.PNG

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Size_of_intervals_in_D-based_symmetric_Pythagorean_tuning.PNG(455 × 340 pixels, file size: 26 KB, MIME type: image/png)

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Description
English: Sizes in cents of the 144 intervals in the D-based Pythagorean tuning system. Bold font indicates just intervals. Wolf intervals were highlighted in red. 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.
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Source Own work
Author Paolo.dL
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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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27 July 2010

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current21:16, 27 July 2010Thumbnail for version as of 21:16, 27 July 2010455 × 340 (26 KB)wikimediacommons>Paolo.dL{{Information |Description={{en|1=Sizes in cents of the 144 intervals in the D-based Pythagorean tuning system. Bold font indicates just intervals. Wolf intervals were highlighted in red. The values were accurately computed using Microsoft Excel, then rou

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