Sqrttwo: Difference between revisions
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CompactStar (talk | contribs) Created page with "WIP '''Sqrttwo''' is an arithmetic temperament using √2 (or the 600-cent tritone) as a generator. == Interval chain ==" |
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{{Novelty}} | |||
'''Sqrttwo''' is an [[User:CompactStar/Arithmetic interval chain|arithmetic interval chain]] using √2-1 as a [[generator]]. | |||
'''Sqrttwo''' is an [[arithmetic | |||
== Interval chain == | == Interval chain == | ||
{|class="wikitable" | |||
|- | |||
!Generators up | |||
!Cents | |||
!Decimal | |||
|- | |||
|0 | |||
|0.0 | |||
|1.0000 | |||
|- | |||
|1 | |||
|600.0 | |||
|1.4142 | |||
|- | |||
|2 | |||
|1044.7 | |||
|1.8284 | |||
|- | |||
|3 | |||
|198.2 | |||
|1.1213 | |||
|- | |||
|4 | |||
|491.7 | |||
|1.3284 | |||
|- | |||
|5 | |||
|742.5 | |||
|1.5355 | |||
|} | |||
== Just/[[ADO]] tunings == | |||
{|class="wikitable" | |||
|- | |||
!Just generator | |||
!Decimal | |||
|- | |||
|2/5 | |||
|0.4000 | |||
|- | |||
|3/7 | |||
|0.4286 | |||
|- | |||
|5/12 | |||
|0.4167 | |||
|- | |||
|7/17 | |||
|0.4118 | |||
|- | |||
|12/29 | |||
|0.4138 | |||
|- | |||
|17/41 | |||
|0.4146 | |||
|- | |||
|29/70 | |||
|0.4143 | |||
|} | |||
[[Category:Arithmetic interval chains]] | |||
Latest revision as of 07:46, 18 September 2024
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This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
Sqrttwo is an arithmetic interval chain using √2-1 as a generator.
Interval chain
| Generators up | Cents | Decimal |
|---|---|---|
| 0 | 0.0 | 1.0000 |
| 1 | 600.0 | 1.4142 |
| 2 | 1044.7 | 1.8284 |
| 3 | 198.2 | 1.1213 |
| 4 | 491.7 | 1.3284 |
| 5 | 742.5 | 1.5355 |
Just/ADO tunings
| Just generator | Decimal |
|---|---|
| 2/5 | 0.4000 |
| 3/7 | 0.4286 |
| 5/12 | 0.4167 |
| 7/17 | 0.4118 |
| 12/29 | 0.4138 |
| 17/41 | 0.4146 |
| 29/70 | 0.4143 |