Le Corbusier's Modulor is based:

... 1/j³ : 1/j² : 1/j : 1 : j : j² : j³...

(In additive progression, each value is the sum of the two preceding ones. These properties produce an arithmetical and geometrical series at the same time.)

But it is also based on the additive Fibonacci number series, i.e.:


1 : 1 : 2 : 3 : 5 : 8 : 13 : 21 : 34 : 55 : 89 ...

in which each value is the sum of the two preceding ones, an approximation to the harmonic series, and thus tends rapidly to j, as shown by:

2 - 1,5 - 1,6 - 1,625 - 1,6154 - 1,619 - 1,6176 - 1,6181 - 1,6179 > j= 1,6180339

10 - 16 - 27 - 43 - 70 - 113 - 183 - 296 (red series)

and its doubling:

20 - 33 - 53 - 86 - 140 - 226 - 366 - 592 (blue series)

The harmonic series is contained in the Metaeder. The Modulor is situated on a.

LE CORBUSIER IN THE METAEDER
DIAGONAL SURFACES IN THE ICOSAHEDRON FORM A HARMONIC SPATIAL LATTICE
THE HARMONIC SERIES
MODULOR FAÇADE
THE EDGE LENGTHS OF DODECHEDRON, CUBE AND ICOSAHEDRON FORM A HARMONIC SERIES
ERGONOMICS IN THE MODULOR
MODULOR IN THE a-PROJECTION OF THE METAEDER
MODULOR
MODULOR IN THE METAEDER
HUMAN SCALE