Xenharmonic Wiki

Xen concepts for beginners: Difference between revisions

← Older editNewer edit →
VisualWikitext
Inthar (talk | contribs)
autopatrolled, emailconfirmed
15,004 edits
ArrowHead294 (talk | contribs)
14,512 edits
Line 68: Line 68:
The generator size and the period thus determine the MOS scales that can be obtained. Hardness varies with generator size within a MOS's range.
The generator size and the period thus determine the MOS scales that can be obtained. Hardness varies with generator size within a MOS's range.


Every MOS scale pattern has a generator range. Since the familiar diatonic scale is a MOS 5L2s, here is an important fact to know: If the period is the octave and the generator is a fifth between 4\7 (686c) and 3\5 (720c), the resulting pattern is the diatonic MOS.
Every MOS scale pattern has a generator range. Since the familiar diatonic scale is a MOS 5L 2s, here is an important fact to know: If the period is the octave and the generator is a fifth between 4\7 (686c) and 3\5 (720c), the resulting pattern is the diatonic MOS.


[[TAMNAMS]] is a common method for naming intervals of a MOS scale.
[[TAMNAMS]] is a common method for naming intervals of a MOS scale.


=== Tuning ranges of the diatonic MOS ===
{| class="wikitable"
Commonly encountered ranges for diatonic fifths and common names:
|+ style="font-size: 105%;" | Tuning ranges of the diatonic MOS
* 7edo (hardness 1/1) to 26edo (hardness 4/3): [[Deeptone]], [[Flattertone]]
|-
* 26edo (hardness 4/3) to 19edo (hardness 3/2): [[Flattone]]
! colspan="3" | Range !! rowspan="2" | Temperaments encompassed
* 19edo (hardness 3/2) to 12edo (hardness 2/1): [[Septimal meantone]]
|-
* 12edo (hardness 2/1) to 29edo (hardness 5/2): [[Schismic]]
! EDO !! Cents !! Hardness
* 29edo (hardness 5/2) to 17edo (hardness 3/1): [[Neogothic|Neogothic/gentle region]]
|-
* 22edo (hardness 4/1) to 27edo (hardness 5/1): [[Superpyth]]
| 7edo to 26edo || 685.714 to 692.308 || 1/1 to 4/3 || [[Deeptone]], [[Flattertone]]
* 27edo (hardness 5/1) to 5edo (hardness infinity): [[Ultrapyth]]
|-
| 26edo to 19edo || 692.308 to 694.737 || 4/3 to 3/2 || [[Flattone]]
|-
| 19edo to 12edo || 694.737 to 700 || 3/2 to 2/1 || [[Septimal meantone]]
|-
| 12edo to 29edo || 700 to 703.448 || 2/1 to 5/2 || [[Schismatic]]
|-
| 29edo to 17edo || 703.448 to 705.882 || 5/2 to 3/1 || [[Neogothic]], [[Parapyth]], [[Leapday]]
|-
| 17edo to 22edo || 705.882 to 709.091 || 3/1 to 4/1 || [[Suprapyth]]
|-
| 22edo to 27edo || 709.091 to 711.111 || 4/1 to 5/1 || [[Superpyth]]
|-
| 27edo to 5edo || 711.111 to 720 || 5/1 to ∞ || [[Ultrapyth]]
|}


== Edos ==
== Edos ==
Retrieved from "https://en.xen.wiki/w/Xen_concepts_for_beginners"