Ploidacot/Alpha-dicot: Difference between revisions
No edit summary Tags: Mobile edit Mobile web edit |
m →Bug: this feels better |
||
| (4 intermediate revisions by 3 users not shown) | |||
| Line 4: | Line 4: | ||
== Intervals and notation == | == Intervals and notation == | ||
Alpha-dicot notation is complicated as it conventionally requires either the introduction of new "[[hemipythagorean]]" ordinals or the use of scales other than the standard diatonic scale. As such, there is no universally accepted convention. Note and interval names are provided where alpha-dicot intervals align with standard monocot intervals (which use [[ | Alpha-dicot notation is complicated as it conventionally requires either the introduction of new "[[hemipythagorean]]" ordinals or the use of scales other than the standard diatonic scale. As such, there is no universally accepted convention. Note and interval names are provided where alpha-dicot intervals align with standard monocot intervals (which use [[chain-of-fifths notation]]). | ||
{| class="wikitable" | {| class="wikitable" | ||
| Line 30: | Line 30: | ||
|- | |- | ||
| −6 | | −6 | ||
| 294. | | 294.13 | ||
| Eb | | Eb | ||
| minor third | | minor third | ||
| Line 50: | Line 50: | ||
|- | |- | ||
| −2 | | −2 | ||
| 498. | | 498.04 | ||
| F | | F | ||
| perfect fourth | | perfect fourth | ||
| Line 105: | Line 105: | ||
|- | |- | ||
| 9 | | 9 | ||
| 158. | | 158.80 | ||
| | | | ||
| | | | ||
| Line 116: | Line 116: | ||
=== Bug === | === Bug === | ||
[[Bug]] is an exotemperament, equating the semitwelfth generator to 5/3. This means that 9/5 is the same interval (tempering out [[27/25]]), and the semifourth represents both 6/5 and 10/9. This is clearly badly inaccurate, but is probably the | [[Bug]] is an exotemperament, equating the semitwelfth generator to 5/3. This means that 9/5 is the same interval (tempering out [[27/25]]), and the semifourth represents both 6/5 and 10/9. This is clearly badly inaccurate, but is probably the simplest (arguably) reasonable 5-limit interpretation of this ploidacot. | ||
The best tunings tend to be around 940{{c}} for the semitwelfth, with a somewhat flat twelfth. This sets the semifourth to 260{{c}}, which is close to [[7/6]]. | The best tunings tend to be around 940{{c}} for the semitwelfth, with a somewhat flat twelfth. This sets the semifourth to 260{{c}}, which is close to [[7/6]]. | ||
| Line 130: | Line 130: | ||
As the comma is so small, the best tunings are close to just. The semitwelfth is around 951{{c}}, leading to a near-just twelfth. | As the comma is so small, the best tunings are close to just. The semitwelfth is around 951{{c}}, leading to a near-just twelfth. | ||
[[Category: | [[Category:Ploidacots|Alpha-dicot]] | ||