Geometric Harmonic Arithmetic means from ends provided
Harmonic mean
of 1 2 3
is
3/(1/1+1/2+1/3)
1.63636363636
of 2 3 4
is
3/(1/2+1/3+1/4)
2.76923076923
The Harmonic mean
of 2 and 3
is
2(2X3)/(2+3)
2.4
The Geometric mean
of 2 and 3
is
The Square root
of 2X3
2.44948974278
Decimal arithmetic
permanently conflicts with
the natural
tendencies
of human beings
it only comes into used after being compounded
with octonary arithmetic
/1 8 = 8
aka /2 8ts = 16
/3 8 = 24
/4 8 = 32
/5 8 = 40
/6 8 = 48
/7 8 = 56
/8 8 = 64
/9 8 = 72
/10 8 = 90
/11 8 = 88
/12 8 = 96
/13 8 = 104
/14 8 = 112
/15 8 = 120
/16 8 = 128
/17 8 = 136
/18 8 = 144
/19 8 = 152
/20 8 = 160
The products of all numbers are the sums of the multiples
of powers of two
compounding each one to each other
/1 2 = 2
/2 2 = 4
/4 2 = 8
/8 2 = 16 +~30
/1 3 = 3
/2 3 = 6
/4 3 = 12
/8 3 = 24 +~45
/1 4 = 4
/2 4 = 8
/4 4 = 16
/8 4 = 32 +~60
/1 5 = 5
/2 5 = 10
/4 5 = 20
/8 5 = 40 +~75
/1 6 = 6
/2 6 = 12
/4 6 = 24
/8 6 = 48 +~90
/1 7 = 7
/2 7 = 14
/4 7 = 28
/8 7 = 56 +~105
/1 8 = 8
/2 8 = 16 +~24
/4 8 = 32 +~56
/8 8 = 64 +~120
/1 9 = 9
/2 9 = 18
/4 9 = 36
/8 9 = 72 +~135
/1 10 = 10
/2 10 = 20
/4 10 = 40
/8 10 = 80+~150
/1 11 = 11
/2 11 = 22
/4 11 = 44
/8 11 = 88 +~165
/1 12 = 12
/2 12 = 24
/4 12 = 48
/8 12 = 96 +~180





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