118edo: Difference between revisions
→Intervals: ratios |
→Intervals: I didn't invent shruti, attributing naming system to me makes it sound like I did. |
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! Step | ! Step | ||
! Cents | ! Cents | ||
! | ! FJS | ||
! Eliora's Naming System | Name | ||
! Eliora's Naming System | |||
<small>(+Shruti correspondence)</small> | |||
! Eliora's Chemical Notation<br>(if base note = 0) | ! Eliora's Chemical Notation<br>(if base note = 0) | ||
! Approximate Ratios * | ! Approximate Ratios * | ||
| Line 55: | Line 57: | ||
| comma | | comma | ||
| helium | | helium | ||
| [[81/80]] | | [[81/80]], [[531441/524288]] | ||
|- | |- | ||
| 3 | | 3 | ||
| Line 286: | Line 288: | ||
| Minor tridecimal neurtral third, "major-neutral" third | | Minor tridecimal neurtral third, "major-neutral" third | ||
| bromine | | bromine | ||
| [[27/22]] | | [[27/22]], 16/13 I** | ||
|- | |- | ||
| 36 | | 36 | ||
| Line 293: | Line 295: | ||
| Golden ratio 3rd, major-tridecimal neutral third | | Golden ratio 3rd, major-tridecimal neutral third | ||
| krypton | | krypton | ||
| [[99/80]], [[21/17]] | | [[99/80]], [[21/17]], 16/13 II** | ||
|- | |- | ||
| 37 | | 37 | ||
| Line 615: | Line 617: | ||
| Golden ratio sixth, minor-neutral tridecimal sixth | | Golden ratio sixth, minor-neutral tridecimal sixth | ||
| lead | | lead | ||
| [[160/99]], [[34/21]] | | [[160/99]], [[34/21]], [[13/8]] I** | ||
|- | |- | ||
| 83 | | 83 | ||
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| Major tridecimal neutral sixth, "minor-neutral" sixth | | Major tridecimal neutral sixth, "minor-neutral" sixth | ||
| bismuth | | bismuth | ||
| [[44/27]] | | [[44/27]], 13/8 II** | ||
|- | |- | ||
| 84 | | 84 | ||
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|} | |} | ||
<nowiki>*</nowiki> treated as a 2.3.5.7.11.17.19 system | <nowiki>*</nowiki> treated as a 2.3.5.7.11.17.19 system | ||
<nowiki>**</nowiki> based on a dual-interval interpretation for the 13th harmonic | |||
== Notation == | == Notation == | ||