Decimal: Difference between revisions
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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]]. | '''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 = | == Interval chain == | ||
In the following table, odd harmonics and subharmonics 1–7 are labeled in '''bold'''. | In the following table, odd harmonics and subharmonics 1–7 are labeled in '''bold'''. | ||
{| class="wikitable center-1 center-2 center-3" | {| class="wikitable center-1 center-2 center-3" | ||
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|} | |} | ||
One can see that the 10-note | One can see that the 10-note mos of the decimal temperament contains the 7-odd-limit [[tonality diamond]]. | ||
[[Category:Temperaments]] | |||
[[Category:Decimal| ]] <!-- main article --> | |||
[[Category:Dicot family]] | |||
[[Category:Slendro clan]] | |||
[[Category:Jubilismic clan]] | |||
Revision as of 05:51, 10 July 2024
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.