Decimal
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Decimal is a temperament in both the dicot and semaphore families of temperaments. It is also hemipyth, meaning that it has approximations of √2, √3, and √(3/2). It is special in that it is also an exotemperament.
Interval chain
In the following table, odd harmonics and subharmonics 1–7 are labeled in bold.
| # | Period 0 | Period 1 |
|---|---|---|
| Approx. Ratios | Approx. Ratios | |
| -2 | 3/2 | 21/20, 15/14 |
| -1 | 12/7, 7/4 | 6/5, 5/4 |
| 0 | 1/1 | 7/5, 10/7 |
| 1 | 8/7, 7/6 | 8/5, 5/3 |
| 2 | 4/3 | 28/15, 40/21 |
One can see that the 10-note mos of the decimal temperament contains the 7-odd-limit tonality diamond.