28/25: Difference between revisions
m Text replacement - " {{Interval_Edo_Approximation | " to "{{Interval edo approximation|" |
55edo directly approximates this very closely, but maps it inconsistently |
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| Sound = jid_28_25_pluck_adu_dr220.mp3 | | Sound = jid_28_25_pluck_adu_dr220.mp3 | ||
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'''28/25''', the '''(septimal) middle whole tone''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], of which it is [[126/125]] sharp, and [[9/8]], of which it is [[225/224]] flat. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2√14/5, or 698.099{{cent}}, which is closely approximated by [[55edo]]. | '''28/25''', the '''(septimal) middle whole tone''', is the interval between [[5/4]] and [[7/5]], and is intermediate in size between [[10/9]], of which it is [[126/125]] sharp, and [[9/8]], of which it is [[225/224]] flat. It's actually the [[mediant]] of [[19/17]] and [[9/8]]. A [[meantone]] where the tone is tuned to be exactly 28/25 has a fifth of size 2√14/5, or 698.099{{cent}}, which is closely approximated by [[55edo]] (however, 55edo in its patent val maps this interval inconsistently to 8\55 instead of 9\55; 55d is required for proper mapping). | ||
== Approximation == | == Approximation == | ||
{{Interval edo approximation|28/25}} | {{Interval edo approximation|28/25}} | ||