118edo: Difference between revisions
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118edo is the 17th [[The Riemann Zeta Function and Tuning|zeta peak edo]]. | 118edo is the 17th [[The Riemann Zeta Function and Tuning|zeta peak edo]]. | ||
=== Proposed chemical notation === | |||
118 is the number of chemical elements in the first 7 periods of the periodic table, and it is the number of elements which are ever expected to be most useful to humans. As a result, chemical element names can be used as note names in 118edo. | |||
Interval names can be made using the suffix "-ide", as to how a 2-atom molecule would be named in chemistry. For example, fluoride for limma, chloride for 17 steps, strontide for classical major third. These are appended to the initial note. For example, an interval of 17 steps on the 1st note would be called hydrogen chloride, a limma on the 11th note would be called sodium fluoride. Classical minor 6th on 29th note would be called copper mercuride, etc. | |||
It should be noted that vast majority of these intervals do not make chemical sense, such as apotome on the 9th note, which would be chlorine sodiide. In real life, this is impossible, as flow of electrons is always to chlorine, not from it. | |||
=== Prime harmonics === | === Prime harmonics === | ||
{{primes in edo|118}} | {{primes in edo|118}} | ||
| Line 29: | Line 37: | ||
!Step | !Step | ||
!Name | !Name | ||
!Chemical notation | |||
<small>if base note = 0</small> | |||
!Associated ratio | !Associated ratio | ||
|- | |- | ||
|0 | |0 | ||
|unison | |unison | ||
|oganesson / neutronium | |||
|1/1 exact | |1/1 exact | ||
|- | |- | ||
|2 | |2 | ||
|comma | |comma | ||
|helium | |||
|[[531441/524288]], [[81/80]] | |[[531441/524288]], [[81/80]] | ||
|- | |- | ||
|9 | |9 | ||
|limma | |limma | ||
|fluorine | |||
|[[256/243]] | |[[256/243]] | ||
|- | |- | ||
|11 | |11 | ||
|apotome | |apotome | ||
|sodium | |||
|[[2187/2048]] | |[[2187/2048]] | ||
|- | |- | ||
|20 | |20 | ||
|whole tone | |whole tone | ||
|calcium | |||
|[[9/8]] | |[[9/8]] | ||
|- | |- | ||
|23 | |23 | ||
|septimal second | |septimal second | ||
|vanadium | |||
|[[8/7]] | |[[8/7]] | ||
|- | |- | ||
|26 | |26 | ||
|septimal third | |septimal third | ||
|iron | |||
|[[7/6]] | |[[7/6]] | ||
|- | |- | ||
|29 | |29 | ||
|Pythagorean minor 3rd | |Pythagorean minor 3rd | ||
|copper | |||
|[[32/27]] | |[[32/27]] | ||
|- | |- | ||
|31 | |31 | ||
|Classical minor 3rd | |Classical minor 3rd | ||
|gallium | |||
|[[6/5]] | |[[6/5]] | ||
|- | |- | ||
|38 | |38 | ||
|Classical major 3rd | |Classical major 3rd | ||
|strontium | |||
|[[5/4]] | |[[5/4]] | ||
|- | |- | ||
|40 | |40 | ||
|Pythagorean major 3rd | |Pythagorean major 3rd | ||
|zirconium | |||
|[[81/64]] | |[[81/64]] | ||
|- | |- | ||
|49 | |49 | ||
|perfect 4th | |perfect 4th | ||
|indium | |||
|[[4/3]] | |[[4/3]] | ||
|- | |- | ||
|59 | |59 | ||
|symmetric tritone | |symmetric tritone | ||
|praseodymium | |||
| | | | ||
|- | |- | ||
|69 | |69 | ||
|perfect 5th | |perfect 5th | ||
|thulium | |||
|[[3/2]] | |[[3/2]] | ||
|- | |- | ||
|78 | |78 | ||
|Pythagorean minor 6th | |Pythagorean minor 6th | ||
|platinum | |||
|[[128/81]] | |[[128/81]] | ||
|- | |- | ||
|80 | |80 | ||
|Classical minor 6th | |Classical minor 6th | ||
|mercury | |||
|[[8/5]] | |[[8/5]] | ||
|- | |- | ||
|87 | |87 | ||
|Classical major 6th | |Classical major 6th | ||
|francium | |||
|[[5/3]] | |[[5/3]] | ||
|- | |- | ||
|89 | |89 | ||
|Pythagorean major 6th | |Pythagorean major 6th | ||
|actinium | |||
|[[27/16]] | |[[27/16]] | ||
|- | |- | ||
|118 | |118 | ||
|perfect 8ve | |perfect 8ve | ||
|oganesson / neutronium | |||
|2/1 exact | |2/1 exact | ||
|} | |} | ||
| Line 275: | Line 304: | ||
| [[Semiparakleismic]] | | [[Semiparakleismic]] | ||
|} | |} | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave]] | ||