User:Ganaram inukshuk/5L 2s: Difference between revisions

{{Infobox MOS|Tuning=5L 2s|debug=1}}

== Name==

[[TAMNAMS]] suggests the temperament-agnostic name '''diatonic''' for this scale, which commonly refers to a scale with 5 whole steps and 2 small steps. Under TAMNAMS and for all scale pattern pages on the wiki, '''the term ''diatonic'' exclusively refers to 5L 2s'''.

The term ''diatonic'' may also refer to scales produced using [[Tetrachord|tetrachords]], [[just intonation]], or in general have more than one size of whole tone. Such scales, such as [[Zarlino]], [[blackdye]] and [[diasem]], are specifically called ''[[Detempering|detempered]] diatonic scales'' (for an RTT-based philosophy) or ''deregularized diatonic scales'' (for an RTT-agnostic philosophy). The terms ''diatonic-like'' or ''diatonic-based'' may also be used to refer such scales, depending on what's contextually the most appropriate.

==Intervals==

Except for the unison and octave, all [[Interval class|interval classes]] have two [[Interval variety|varieties]] or sizes, denoted using the terms ''major'' and ''minor'' for the large and small sizes, respectively. The exception to this rule are the generators, which use the terms ''augmented'', ''perfect'', and ''diminished'' instead.

!Interval class

!Specific intervals

!Size (in ascending order)

| rowspan="2" |1-diastep

|Minor 1-diastep

|s

|Major 1-diastep

| rowspan="2" |2-diastep

| rowspan="2" |'''3-diastep'''

| rowspan="2" |'''4-diastep'''

|Diminished 4-diastep

|'''Perfect 4-diastep'''

|3L + s

|-

|Major 5-diastep

|4L + s

| rowspan="2" |6-diastep

|'''7-diastep (octave)'''

|'''Perfect 7-diastep (octave)'''

==Notation==

:''See [[5L 2s/Notation]]''

===Introduction to step sizes===

The familiar pattern of 5 whole steps and 2 half steps, commonly written as WWHWWWH for the major scale, has step sizes of 2 (whole step) and 1 (half step), producing [[12edo]]. This can be generalized into the form LLsLLLs, with whole-number sizes for the large steps and small steps, denoted as "L" and "s" respectively.

| 4 4 3 4 4 4 3

| 5:3

| 5 5 3 5 5 5 3

| 2:1

| 5 5 2 5 5 5 2

Edos that are multiples of the examples above can be reached by entering non-simplified step ratios. For example, edos that are multiples of 12 are reached by using larger values whose ratio simplifies to 2:1, such as 4:2 for [[24edo]].

All step ratios lie on a spectrum from 1:1 to 1:0, referred to on the wiki as a scale tree. The step ratios 1:1 and 1:0 represent the limits for valid step ratios. A step ratio that approaches 1:1, where the large and small step are equal to one another, approaches [[7edo]], and a step ratio that approaches 1:0, where the small step "collapses" to zero, approaches [[5edo]].

TAMNAMS has names for regions of this spectrum based on whether they are "soft" (between 1:1 and 2:1) or "hard" (between 2:1 and 1:0).

:''Main article: [[5L 2s/Temperaments]]''

 

 

 

 

 

Quasihard tunings correspond to "neogothic" or "parapyth" systems whose perfect 5th is slightly sharper than just, resulting in major 3rds that are sharper than 81/64 and minor 3rds that are slightly flat of [[32/27]] (294¢).

Edos include [[17edo]], [[29edo]], and [[46edo]]. 17edo is considered to be on the sharper end of the neogothic spectrum, with a major 3rd that is more discordant than flatter neogothic tunings.

:''Main article: [[Archy]]''

Parahard (3:1 to 4:1) and ultrahard tunings (4:1 to 1:0) correspond to archy systems, with perfect 5ths that are significantly sharper than than 702¢.

 

===Subset and superset scales===

 

 

 

 

 

{{MOS tuning spectrum

 

==See also==