86400edo: Difference between revisions
apparently no and rewrite |
mNo edit summary |
||
| Line 1: | Line 1: | ||
{{novelty}} | |||
{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|86400}} | {{EDO intro|86400}} | ||
Revision as of 04:04, 9 July 2023
|
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. |
| ← 86399edo | 86400edo | 86401edo → |
Theory
86400 is a number notable for being the number of seconds in a day, and as such it has a lot of divisors, factoring into 2^7 x 3^3 x 5^2. While it isn't in the ranks of highly composite and superabundant, it's abundancy index is about 2.66.
Table of selected intervals
86400edo carries an interval size measure notation proposed by Eliora in January 2022, called the clock notation. The notation involves writing interval size measures using hours, minutes, seconds derived from steps of 86400edo. The notation's purpose is to write down intervals in the small-unnoticeable range. This means that one hour is a quarter-tone, one minute is 5/6 of a cent, and one second, one step size is 1/72 of a cent.
| Steps | Name | Clock notation | Associated JI |
|---|---|---|---|
| 0 | Unison | 00:00:00 | 1/1 exact |
| 60 | Minute | 00:01:00 | |
| 72 | Cent | 00:01:12 | |
| 141 | Schisma | 00:02:21 | 32805/32768 |
| 1548 | Syntonic comma | 00:25:48 | 81/80 |
| 1689 | Pythagorean comma | 00:28:09 | 531441/524288 |
| 3600 | Quarter-tone, Hour | 01:00:00 | |
| 7200 | Dodecaphonic semitone | 02:00:00 | |
| 14682 | Just whole tone | 04:04:42 | 9/8 |
| 50400 | Dodecaphonic perfect fifth | 14:00:00 | |
| 50541 | Just perfect fifth | 14:02:21 | 3/2 |
| 86400 | Octave | 24:00:00 | 2/1 exact |