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| '''Noticed the wiki doesn't have a page on hem yet, so copy pasting [[Scott Dakota]]'s explanation of it on this user page so that I or someone else can reference this and write a proper main space page on it later.'''
| | See [[Barton]]. |
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| <pre>
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| Struck gold in the GS investigation of 37ed2 project:
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| (11/8)^3 ~= 13/5
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| via 6656/6655, a very tight microtemperament comma, 0.26c. This feels like the inner sanctum secret trick inside 37ed2.
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| Then found the second trick!
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| (13/10)^2 ~= 22/13, via 2200/2197.
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| Putting this all together in 2.5.11.13, this means that if we stack prime 11 a lot, we also get a huge amount of ~ 13/10 and 13/11 and 11/10 and 55/32 for free as well.
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| The GS tweaks required to make these analogies overt are very small. Microtemperament grade tweaks. I'm amazed at how Platonic-ideal archetypal this GS is. This is perhaps the best no-prime-3 GS territory I've come across so far, because such low error and such a high proportion of concordant chords in the rendered scales.
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| Hem GS:
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| GS(11 11 13/605 11 5/1859 11 11 13/605) aka
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| GS(11/8 11/8 832/605
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| 11/8 2560/1859
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| 11/8 11/8 832/605)
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| gg: (88/5)^(1/9) 551.667c
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| interval of duplication: 11/10
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| CS: 5 7 9 11 13 24 37
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| 50 87 124 211 298 385 472 559 etc.
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| Hem[37] is a super smooth rational detemper of 37ed2, and Hem[11] and [13] are also extremely well distributed and musical.
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| For xenners into exploring no-prime-3 land but still into having a lot of alternative concordant chords on hand, this territory is about as good as it gets.
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| https://scaleworkshop.plainsound.org/scale/iestQHpCn
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| Hem[11]
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| this is such a badass no-3's JI scale, remarkable
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| https://scaleworkshop.plainsound.org/scale/jesgMz7oe
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| Hem[13]
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| equally badass cool
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| https://scaleworkshop.plainsound.org/scale/jesV_Vb0i
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| FYI the name Hem is a riff on Emka 24 & 37 temperament in 2.5.11.13 or 2.5.7.11.13, which leverages <6656/6655, 2200/2197>
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| ---
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| this all seems to be the key to 37ed2's magic
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| -- Scott Dakota
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| </pre>
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