Blackwood: Difference between revisions
Ploidacot in Template: Infobox regtemp has been fixed |
Made target scale size based on harmonics rather than the whole diamond |
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| Generator tuning = 391.1 | | Generator tuning = 391.1 | ||
| MOS scales = [[5L 5s]], [[10L 5s]] | | MOS scales = [[5L 5s]], [[10L 5s]] | ||
| Odd limit 1 = 5 | Mistuning 1 = 18.0 | Complexity 1 = | | Odd limit 1 = 5 | Mistuning 1 = 18.0 | Complexity 1 = 10 | ||
| Odd limit 2 = 9 | Mistuning 2 = 44.9 | Complexity 2 = | | Odd limit 2 = 9 | Mistuning 2 = 44.9 | Complexity 2 = 10 | ||
}} | }} | ||
'''Blackwood''' is a [[regular temperament|temperament]] that takes [[5edo]]'s [[circle of fifths]] for the [[3-limit]], but adds multiple copies to improve the tuning of the [[5-limit]]. In the fundamental sense, it is the 5-limit temperament that [[tempering out|tempers out]] the [[Pythagorean limma]], and it extends to the [[7-limit]] (sometimes known as ''blacksmith'') by recognizing that 4\5 is a good [[7/4|harmonic seventh]], thus tempering out [[28/27]], [[49/48]], and [[64/63]], making it a member of [[trienstonic clan]], [[semaphoresmic clan]], and [[archytas clan]]. | '''Blackwood''' is a [[regular temperament|temperament]] that takes [[5edo]]'s [[circle of fifths]] for the [[3-limit]], but adds multiple copies to improve the tuning of the [[5-limit]]. In the fundamental sense, it is the 5-limit temperament that [[tempering out|tempers out]] the [[Pythagorean limma]], and it extends to the [[7-limit]] (sometimes known as ''blacksmith'') by recognizing that 4\5 is a good [[7/4|harmonic seventh]], thus tempering out [[28/27]], [[49/48]], and [[64/63]], making it a member of [[trienstonic clan]], [[semaphoresmic clan]], and [[archytas clan]]. | ||