A291713 144 * preferred ratios of room width / length in Alberti's Ten Books on Architecture.
36, 48, 54, 64, 72, 81, 96, 108, 144
Offset: 1
Examples
The following table is provided in the Zuk article: . Table 38.9 Proportions derived from Alberti's preferred ratios Plan Length Mean L : H : W ratio Width Height 1:1 1 1 Any mean 1 1 : 1 : 1 3:2 6 4 Arithmetic 5 6 : 5 : 4 3:2 15 10 Harmonic 12 15 :12 :10 4:3 8 6 Arithmetic 7 8 : 7 : 6 2:1 4 2 Arithmetic 3 4 : 3 : 2 9:4 9 4 Geometric 6 9 : 6 : 4 16:9 16 9 Geometric 12 16 :12 : 9 3:1 3 1 Arithmetic 2 3 : 2 : 1 8:3 8 3 Fibonacci 5 8 : 5 : 3 4:1 4 1 Geometric 2 4 : 2 : 1 . a(8)=108 is in the sequence, because the ratio 144/108 corresponds to the plan ratio of 4:3.
Links
- Radislav Zuk, From Renaissance Musical Proportions to Polytonality in Twentieth Century Architecture, Chapter 38 in Volume 1 of K. Williams and M. J. Ostwald (eds.), Architecture and Mathematics from Antiquity to the Future, DOI 10.1007/978-3-319-00137-1_38, Springer International Publishing Switzerland 2015
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