Porcupine: Difference between revisions
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The reader is encouraged to use the family page for alt 7-limit extensions |
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It is also very easy to extend porcupine to prime 7, because the 16/9, found at +6 generators (tuned to about 960–990 cents), has already been flattened to merge it with (6/5)<sup>3</sup>, and therefore can be equated to [[7/4]]. This makes porcupine a weak extension of [[archy]], splitting its generator into three parts; its Pythagorean major third is mapped to [[9/7]], and its fifth is tuned sharp, ranging from around 705–720 cents, with the best tunings around 711–712 cents, which roughly splits the damage on 7/4 and 9/7. | It is also very easy to extend porcupine to prime 7, because the 16/9, found at +6 generators (tuned to about 960–990 cents), has already been flattened to merge it with (6/5)<sup>3</sup>, and therefore can be equated to [[7/4]]. This makes porcupine a weak extension of [[archy]], splitting its generator into three parts; its Pythagorean major third is mapped to [[9/7]], and its fifth is tuned sharp, ranging from around 705–720 cents, with the best tunings around 711–712 cents, which roughly splits the damage on 7/4 and 9/7. | ||
See [[Porcupine family #Porcupine]] for technical data. See [[Porcupine/Extensions]] for a discussion on [[13-limit]] [[extension]]s | See [[Porcupine family #Porcupine]] for technical data and alternative 7-limit extensions. See [[Porcupine/Extensions]] for a discussion on [[13-limit]] [[extension]]s. | ||
== Interval chain == | == Interval chain == | ||