Escapade family: Difference between revisions
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== Strong extensions == | == Strong extensions == | ||
{| class="wikitable center-all" | |||
|+ style="font-size: 105%;" | Map to strong full 11-limit extensions | |||
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! rowspan="1" | Extension ! rowspan="1" | Mapping of 7 !! rowspan="1" | Tuning range* | |||
|- | |||
| [[#Escapist|Escapist]] || -4 || ↓ [[65edo|65]] | |||
|- | |||
| [[#Alphaquarter|Alphaquarter]] || +61 || ↑ 65 <br /> ↓ [[87edo|87]] | |||
|- | |||
| [[#Escaped|Escaped]] || -26 || ↑ 87 | |||
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<nowiki />* Defined by intersection with other documented extensions | |||
=== 2.3.5.11.31 subgroup === | === 2.3.5.11.31 subgroup === | ||
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=== Escapist === | === Escapist === | ||
''[[#Strong extensions|Return to the map]]'' | |||
This temperament makes the identification of the 4-generator interval, representing (16/15)<sup>2</sup>, with [[8/7]] by tempering out [[225/224]] (along with [[12288/12005]]); however, this is somewhat inaccurate as the ~16/15 in escapade is slightly flat, while for a good marvel tuning it needs to be tempered sharpward to equate it with [[15/14]]. | This temperament makes the identification of the 4-generator interval, representing (16/15)<sup>2</sup>, with [[8/7]] by tempering out [[225/224]] (along with [[12288/12005]]); however, this is somewhat inaccurate as the ~16/15 in escapade is slightly flat, while for a good marvel tuning it needs to be tempered sharpward to equate it with [[15/14]]. | ||
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=== Escaped === | === Escaped === | ||
''[[#Strong extensions|Return to the map]]'' | |||
This temperament was also known as "sensa" in earlier materials because it tempers out 245/243, 352/351, and 385/384 as a sensamagic temperament. ''Not to be confused with the {{nowrap|19e & 27}} temperament (sensi extension).'' | This temperament was also known as "sensa" in earlier materials because it tempers out 245/243, 352/351, and 385/384 as a sensamagic temperament. ''Not to be confused with the {{nowrap|19e & 27}} temperament (sensi extension).'' | ||
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=== Alphaquarter === | === Alphaquarter === | ||
''[[#Strong extensions|Return to the map]]'' | |||
Given the slightly sharp ~[[3/2]] in ideal tunings of escapade (between [[65edo]] and [[87edo]]), it does very little damage to temper out [[5120/5103]] to extend it to the [[7-limit]]; the cost is that the harmonic 7 is exceedingly complex, located all the way at 61 generators up. | Given the slightly sharp ~[[3/2]] in ideal tunings of escapade (between [[65edo]] and [[87edo]]), it does very little damage to temper out [[5120/5103]] to extend it to the [[7-limit]]; the cost is that the harmonic 7 is exceedingly complex, located all the way at 61 generators up. | ||