Breedsmic temperaments: Difference between revisions

Gorgik: + intro
Osiris: document this so that we can delete neutron star
 
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* ''[[Decoid]]'' (+67108864/66976875) → [[Quintosec family #Decoid|Quintosec family]]
* ''[[Decoid]]'' (+67108864/66976875) → [[Quintosec family #Decoid|Quintosec family]]
* ''[[Quadritikleismic]]'' (+15625/15552) → [[Kleismic family #Quadritikleismic|Kleismic family]]
* ''[[Quadritikleismic]]'' (+15625/15552) → [[Kleismic family #Quadritikleismic|Kleismic family]]
* ''[[Neptune]]'' (+48828125/48771072) → [[Gammic family #Neptune|Gammic family]]
* ''[[Subneutral]]'' (+274877906944/274658203125) → [[Luna family #Subneutral|Luna family]]
* ''[[Neptune (temperament)|Neptune]]'' (+48828125/48771072) → [[Gammic family #Neptune|Gammic family]]
* ''[[Tertiseptisix]]'' (+390625000/387420489) → [[Quartonic family #Tertiseptisix|Quartonic family]]
* ''[[Tertiseptisix]]'' (+390625000/387420489) → [[Quartonic family #Tertiseptisix|Quartonic family]]
* ''[[Greenwood]]'' (+405/392 or 1323/1280) → [[Whitewood family #Greenwood|Whitewood family]]
* ''[[Greenwood]]'' (+405/392 or 1323/1280) → [[Whitewood family #Greenwood|Whitewood family]]


Considered below are tertiaseptal, emmthird, hemififths, osiris, quasiorwell, quinmite, septidiasemi, subneutral, maviloid, lockerbie, unthirds, neominor, catafourth, cotritone, fibo, quasimoha, mintone, gorgik, hemigoldis, and surmarvelpyth, in the order of increasing [[badness]].  
Considered below are tertiaseptal, emmthird, hemififths, osiris, quasiorwell, quinmite, septidiasemi, maviloid, lockerbie, unthirds, neominor, catafourth, cotritone, fibo, quasimoha, mintone, gorgik, hemigoldis, and surmarvelpyth, in the order of increasing [[badness]].  


== Tertiaseptal ==
== Tertiaseptal ==
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== Osiris ==
== Osiris ==
[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7


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[[Badness]] (Sintel): 0.716
[[Badness]] (Sintel): 0.716
=== Semiosiris ===
Subgroup: 2.3.5.7.11
Comma list: 2401/2400, 9801/9800, 1771561/1771470
Mapping: {{mapping| 2 -6 -20 -9 -14 | 0 32 86 51 73 }}
: mapping generators: ~99/70, ~243/220
Optimal tunings:
* WE: ~99/70 = 600.0152{{c}}, ~243/220 = 171.9383{{c}}
* CWE: ~99/70 = 600.0000{{c}}, ~243/220 = 171.9344{{c}}
{{Optimal ET sequence|legend=0| 328, 342, 1012, 1354, 1696 }}
Badness (Sintel): 0.703


== Quasiorwell ==
== Quasiorwell ==
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Badness (Sintel): 1.39
Badness (Sintel): 1.39
== Subneutral ==
{{See also| Luna family }}
[[Subgroup]]: 2.3.5.7
[[Comma list]]: 2401/2400, 274877906944/274658203125
{{Mapping|legend=1| 1 -41 8 -5 | 0 60 -8 11 }}
: mapping generators: ~2, ~46875/28672
[[Optimal tuning]]s:
* [[WE]]: ~2 = 1199.9998{{c}}, ~46875/28672 = 851.6994 (~57344/46875 = 348.3005{{c}})
: [[error map]]: {{val| -0.000 +0.013 +0.090 -0.132 }}
* [[CWE]]: ~2 = 1200.0000{{c}}, ~46875/28672 = 851.6995{{c}} (~57344/46875 = 348.3005{{c}})
: error map: {{val| 0.000 +0.014 +0.090 -0.132 }}
{{Optimal ET sequence|legend=1| 31, …, 348, 379, 410, 441, 1354, 1795, 2236 }}
[[Badness]] (Sintel): 1.16


== Maviloid ==
== Maviloid ==