Douglas Blumeyer's RTT How-To: Difference between revisions
Cmloegcmluin (talk | contribs) m →approximating JI: reduce size of image |
Cmloegcmluin (talk | contribs) m →approximating JI: Steve Martin's suggestion for a more descriptive image caption |
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Why is this rare? Well, it’s like a game of trying to get these numbers to line up ''(see Figure 1d)'': | Why is this rare? Well, it’s like a game of trying to get these numbers to line up ''(see Figure 1d)'': | ||
[[File:Near linings up rare2.png|600px|thumb|right|'''Figure 1d.''' | [[File:Near linings up rare2.png|600px|thumb|right|'''Figure 1d.''' Texture of ETs approximating prime harmonics. Where the numerals line up, all primes are well-approximated by a single step size.]] | ||
If the distance between entries in the row for 2 are defined as 1 unit apart, then the distance between entries in the row for prime 3 are 1/log₂3 units apart, and 1/log₂5 units apart for the prime 5. So, near-linings up don’t happen all that often!<ref>For more information, see: [[The_Riemann_zeta_function_and_tuning|The Riemann zeta function and tuning]].</ref> (By the way, any vertical line drawn through a chart like this is called a GPV, or “[[generalized patent val]]”; I think the association with "[[patent val]]" is confused, and "patent" isn't a good word for it in the first place, and I would prefer to characterize it as a “generatable map” myself.) | If the distance between entries in the row for 2 are defined as 1 unit apart, then the distance between entries in the row for prime 3 are 1/log₂3 units apart, and 1/log₂5 units apart for the prime 5. So, near-linings up don’t happen all that often!<ref>For more information, see: [[The_Riemann_zeta_function_and_tuning|The Riemann zeta function and tuning]].</ref> (By the way, any vertical line drawn through a chart like this is called a GPV, or “[[generalized patent val]]”; I think the association with "[[patent val]]" is confused, and "patent" isn't a good word for it in the first place, and I would prefer to characterize it as a “generatable map” myself.) |