Metallic MOS: Difference between revisions
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=== | === μ notation === | ||
A number of names and symbols have historically been used to denote metallic means. But many of them are ambiguous, or outright conflict with each other, and unfortunately none of them are optimal for met-MOS purposes. We've gotten by alright so far using traditional names and symbols in this discussion, but for the master charts we're going to need to break from tradition in order to most clearly convey the patterns therein. So, we here propose a new notation using the Greek letter μ, read "mu" (μ because "m" figures so prominently in this domain: "m" for metallic, mean, or moment). | A number of names and symbols have historically been used to denote metallic means. But many of them are ambiguous, or outright conflict with each other, and unfortunately none of them are optimal for met-MOS purposes. We've gotten by alright so far using traditional names and symbols in this discussion, but for the master charts we're going to need to break from tradition in order to most clearly convey the patterns therein. So, we here propose a new notation using the Greek letter μ, read "mu" (μ because "m" figures so prominently in this domain: "m" for metallic, mean, or moment). | ||
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| Golden mean | | Golden mean | ||
| Phi, golden ratio, golden section, golden proportion, greater phi, divine proportion, Phi | | Phi, golden ratio, golden section, golden proportion, greater phi, divine proportion, Phi | ||
| | | φ, φ, τ, σ<sub>''g''</sub> | ||
| 1.618034… | | 1.618034… | ||
| <math>[1; \overline{1}]</math> | | <math>[1; \overline{1}]</math> | ||
| Line 623: | Line 623: | ||
| Golden mean's isotope | | Golden mean's isotope | ||
| Lesser phi, golden ratio conjugate, silver ratio, phi | | Lesser phi, golden ratio conjugate, silver ratio, phi | ||
| | | φ | ||
| 0.618034… | | 0.618034… | ||
| <math>[0; \overline{1}]</math> | | <math>[0; \overline{1}]</math> | ||
| Line 632: | Line 632: | ||
| Silver mean | | Silver mean | ||
| Silver ratio | | Silver ratio | ||
| | | δ<sub>''s''</sub>, σ<sub>''s''</sub> | ||
| 2.414214… | | 2.414214… | ||
| <math>[2; \overline{2}]</math> | | <math>[2; \overline{2}]</math> | ||
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| Silver mean's first isotope | | Silver mean's first isotope | ||
| Japanese mean, silver ratio | | Japanese mean, silver ratio | ||
| | | <math>\sqrt{2}</math> | ||
| 1.414214… | | 1.414214… | ||
| <math>[1; \overline{2}]</math> | | <math>[1; \overline{2}]</math> | ||
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| Bronze mean | | Bronze mean | ||
| — | | — | ||
| | | δ<sub>''b''</sub>, σ<sub>''b''</sub> | ||
| 3.302776… | | 3.302776… | ||
| <math>[3; \overline{3}]</math> | | <math>[3; \overline{3}]</math> | ||