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THE COLLATZ CONJECTURE

THE COLLATZ CONJECTURE

halve the even, triple the odd and add one: the road of 27, the record holders and a problem nobody has solved

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NUMBERS 1 TO 100

NUMBERS 1 TO 100

the hundred chart · primes picked out in colour

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LEAP YEARS

LEAP YEARS

one rule, a cycle of four hundred years and the ninety-seven extra days in it

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MULTIPLICATION TABLE

MULTIPLICATION TABLE

1 to 12 · colour intensity = size of the product

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CURWEN HAND SIGNS

CURWEN HAND SIGNS

one hand for each degree of the scale, with the mental effect John Curwen gave it

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EQUAL TEMPERAMENT

EQUAL TEMPERAMENT

how many cents each interval misses the pure one by, and why exactly that much

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NOTES ON THE FRETBOARD

NOTES ON THE FRETBOARD

standard tuning E A D G B e · first twelve frets

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STRING MATERIALS

STRING MATERIALS

what they are drawn from, how one wrap differs from another and what of that is audible

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TONEWOODS

TONEWOODS

density, hardness, export · what is measured kept apart from what is taste

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MICROPHONE TYPES

MICROPHONE TYPES

what picks the sound up and where it stays deaf — five patterns from one formula

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THE SEVEN MUSICAL MODES

THE SEVEN MUSICAL MODES

the same white keys · a different root

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NOTE VALUES

NOTE VALUES

from whole to thirty-second · how many fit a 4/4 bar

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