Diasem: Difference between revisions

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'''Diasem''' is a [[~~Maximum_variety~~|max-variety-3]] scale that is equivalent to semaphore[9] with two of the small steps made larger and the other two made smaller. This results in near-just septimal intervals and better melodic properties than the meantone scales of [[26edo]] and [[31edo]], which both support it. The scale can be generated by an alternating chain of subminor thirds and supermajor seconds. The name "diasem" is a portmanteau of "diatonic" and "semaphore," and is also a pun based on the [[diesis]], a defining step size in the scale.

'''Diasem''' is a [[Maximum variety|max-variety-3]] scale that is equivalent to semaphore[9] with two of the small steps made larger and the other two made smaller. This results in near-just septimal intervals and better melodic properties than the meantone scales of [[26edo]] and [[31edo]], which both support it. The scale can be generated by an alternating chain of subminor thirds and supermajor seconds. The name "diasem" is a portmanteau of "diatonic" and "semaphore," and is also a pun based on the [[diesis]], a defining step size in the scale.

{| class="wikitable"

|+ Comparison with semaphore and meantone in 62edo

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| Meantone || 5L2s || 10\62, 6\62 || ├─────────┼─────┼─────────╫─────────┼─────┼─────────╫─────────┤

|}

{| class="wikitable"

|+ Common Diasem Tunings

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| JI || 7.479:2.309:1 || Just 7/6, 8/7, and 3/2 || 0.000 || 203.910 || 266.871 || 470.781 || 498.045 || 701.955 || 764.916 || 968.826 || 996.090 || 1200.000

|}

[[Category:Scale]]

[[Category:26edo]]

[[Category:31edo]]

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-'''Diasem''' is a [[Maximum_variety|max-variety-3]] scale that is equivalent to semaphore[9] with two of the small steps made larger and the other two made smaller. This results in near-just septimal intervals and better melodic properties than the meantone scales of [[26edo]] and [[31edo]], which both support it. The scale can be generated by an alternating chain of subminor thirds and supermajor seconds. The name "diasem" is a portmanteau of "diatonic" and "semaphore," and is also a pun based on the [[diesis]], a defining step size in the scale.
+'''Diasem''' is a [[Maximum variety|max-variety-3]] scale that is equivalent to semaphore[9] with two of the small steps made larger and the other two made smaller. This results in near-just septimal intervals and better melodic properties than the meantone scales of [[26edo]] and [[31edo]], which both support it. The scale can be generated by an alternating chain of subminor thirds and supermajor seconds. The name "diasem" is a portmanteau of "diatonic" and "semaphore," and is also a pun based on the [[diesis]], a defining step size in the scale.
 {| class="wikitable"
 |+ Comparison with semaphore and meantone in 62edo
@@ Line 11: / Line 12: @@
 | Meantone || 5L2s || 10\62, 6\62 || ├─────────┼─────┼─────────╫─────────┼─────┼─────────╫─────────┤
 |}
 {| class="wikitable"
 |+ Common Diasem Tunings
@@ Line 24: / Line 26: @@
 | JI || 7.479:2.309:1 || Just 7/6, 8/7, and 3/2 || 0.000 || 203.910 || 266.871 || 470.781 || 498.045 || 701.955 || 764.916 || 968.826 || 996.090 || 1200.000
 |}
+[[Category:Scale]]
+[[Category:26edo]]
+[[Category:31edo]]