Hemipyth: Difference between revisions

Godtone (talk | contribs)
m Temperament interpretations: add more temp interpretations
Frostburn (talk | contribs)
Temperament interpretations: Make excuses for why harry is there.
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Under [[ploidacot]] classification diploid temperaments feature ~√2, dicot temperaments have ~√(3/2) and alpha-dicot temperaments feature ~√(4/3) (by virtue of having a ~√3).
Under [[ploidacot]] classification diploid temperaments feature ~√2, dicot temperaments have ~√(3/2) and alpha-dicot temperaments feature ~√(4/3) (by virtue of having a ~√3).


Full hemipyth support is indicated by "diploid dicot". Examples include:
Full hemipyth support is indicated by at least "diploid dicot". Examples include:
{| class="wikitable"
{| class="wikitable"
|+ Higher-prime interpretations of hemipyth intervals
|+ Higher-prime interpretations of hemipyth intervals
|-
|-
! Temperament !! ~√2 !! ~√(3/2) !! ~√(4/3)
! Temperament !! ~√2 !! ~√(3/2) !! ~√(4/3) !! contorted
|-
|-
| [[decimal]] || ~7/5 || ~5/4 || ~7/6
| [[decimal]] || ~7/5 || ~5/4 || ~7/6 || no
|-
|-
| [[sruti]] || ~45/32 || ~175/144 || ~81/70
| [[sruti]] || ~45/32 || ~175/144 || ~81/70 || no
|-
|-
| [[harry]] || ~24/17 || ~11/9 || ~15/13
| [[harry]] || ~24/17 || ~11/9 || ~15/13 || yes
|-
|-
| [[greenland]] || ~99/70 || ~49/40 || ~15/13
| [[greenland]] || ~99/70 || ~49/40 || ~15/13 || no
|}
|}
Above contorted tunings don't have a ~√2 period with a ~√3 generator, but introduce further splits.