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! Degrees
! Degrees
! [[Cent]]s
! [[Cent]]s
! Approximate Ratios*
! Approximate ratios<ref group="note">{{sg|limit=13-limit}}</ref>
! Interval<br>Name
! Interval<br>name
! Example<br>in D
! Example<br>in D
![[SKULO interval names|SKULO]]  
! [[SKULO interval names|SKULO]]<br>[[SKULO interval names|Interval name]]
[[SKULO interval names|Interval Name]]
! Example<br>in D
!Example
! colspan="2" | [[Solfege|Solfeges]]
in D
! colspan="2" |[[Solfege|Solfeges]]
|-
|-
| 0
| 0
Line 51: Line 49:
| P1
| P1
| D
| D
|P1
| P1
|D
| D
| da
| da
| do
| do
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| A1
| A1
| D#
| D#
|A1, S1
| A1, S1
|D#, SD
| D#, SD
| du
| du
| di
| di
Line 71: Line 69:
| d2
| d2
| Ebb
| Ebb
|sm2
| sm2
|sEb
| sEb
| fro
| fro
| rih
| rih
Line 81: Line 79:
| m2
| m2
| Eb
| Eb
|m2
| m2
|Eb
| Eb
| fra
| fra
| ru
| ru
Line 91: Line 89:
| M2
| M2
| E
| E
|M2
| M2
|E
| E
| ra
| ra
| re
| re
Line 101: Line 99:
| A2
| A2
| E#
| E#
|SM2
| SM2
|SE
| SE
| ru
| ru
| ri
| ri
Line 111: Line 109:
| d3
| d3
| Fb
| Fb
|sm3
| sm3
|sF
| sF
| no
| no
| ma
| ma
Line 121: Line 119:
| m3
| m3
| F
| F
|m3
| m3
|F
| F
| na
| na
| me
| me
Line 131: Line 129:
| M3
| M3
| F#
| F#
|M3
| M3
|F#
| F#
| ma
| ma
| muh/mi
| muh/mi
Line 141: Line 139:
| A3
| A3
| Fx
| Fx
|SM3
| SM3
|SF#
| SF#
| mu
| mu
| maa
| maa
Line 151: Line 149:
| d4
| d4
| Gb
| Gb
|s4
| s4
|sG
| sG
| fo
| fo
| fe
| fe
Line 161: Line 159:
| P4
| P4
| G
| G
|P4
| P4
|G
| G
| fa
| fa
| fa
| fa
Line 171: Line 169:
| A4
| A4
| G#
| G#
|A4
| A4
|G#
| G#
| fu/pa
| fu/pa
| fu
| fu
Line 181: Line 179:
| AA4, dd5
| AA4, dd5
| Gx, Abb
| Gx, Abb
|SA4, sd5
| SA4, sd5
|SG#, sAb
| SG#, sAb
| pu/sho
| pu/sho
| fi/se
| fi/se
Line 191: Line 189:
| d5
| d5
| Ab
| Ab
|d5
| d5
|Ab
| Ab
| sha/so
| sha/so
| su
| su
Line 201: Line 199:
| P5
| P5
| A
| A
|P5
| P5
|A
| A
| sa
| sa
| sol
| sol
Line 211: Line 209:
| A5
| A5
| A#
| A#
|S5
| S5
|SA
| SA
| su
| su
| si
| si
Line 221: Line 219:
| d6
| d6
| Bbb
| Bbb
|sm6
| sm6
|sBb
| sBb
| flo
| flo
| leh
| leh
Line 231: Line 229:
| m6
| m6
| Bb
| Bb
|m6
| m6
|Bb
| Bb
| fla
| fla
| le/lu
| le/lu
Line 241: Line 239:
| M6
| M6
| B
| B
|M6
| M6
|B
| B
| la
| la
| la
| la
Line 251: Line 249:
| A6
| A6
| B#
| B#
|SM6
| SM6
|SB
| SB
| lu
| lu
| li
| li
Line 261: Line 259:
| d7
| d7
| Cb
| Cb
|sm7
| sm7
|sC
| sC
| tho
| tho
| ta
| ta
Line 271: Line 269:
| m7
| m7
| C
| C
|m7
| m7
|C
| C
| tha
| tha
| te
| te
Line 281: Line 279:
| M7
| M7
| C#
| C#
|M7
| M7
|C#
| C#
| ta
| ta
| tu/ti
| tu/ti
Line 291: Line 289:
| A7
| A7
| Cx
| Cx
|SM7
| SM7
|SC#
| SC#
| tu
| tu
| to
| to
Line 301: Line 299:
| d8
| d8
| Db
| Db
|d8, s8
| d8, s8
|Db, sD
| Db, sD
| do
| do
| da
| da
Line 311: Line 309:
| P8
| P8
| D
| D
|P8
| P8
|D
| D
| da
| da
| do
| do
|}
|}
* based on treating 26edo as a [[13-limit]] temperament; other approaches are possible.


=== Interval quality and chord names in color notation ===
=== Interval quality and chord names in color notation ===
Line 402: Line 399:


== Notation ==
== Notation ==
===Sagittal notation===
=== Sagittal notation ===
This notation uses the same sagittal sequence as EDOs [[5edo#Sagittal notation|5]], [[12edo#Sagittal notation|12]], and [[19edo#Sagittal notation|19]], is a subset of the notation for [[52edo#Sagittal notation|52-EDO]], and is a superset of the notation for [[13edo#Sagittal notation|13-EDO]].
This notation uses the same sagittal sequence as EDOs [[5edo#Sagittal notation|5]], [[12edo#Sagittal notation|12]], and [[19edo#Sagittal notation|19]], is a subset of the notation for [[52edo#Sagittal notation|52-EDO]], and is a superset of the notation for [[13edo#Sagittal notation|13-EDO]].
====Evo flavor====


==== Evo flavor ====
<imagemap>
<imagemap>
File:26-EDO_Evo_Sagittal.svg
File:26-EDO_Evo_Sagittal.svg
Line 415: Line 412:


Because it includes no Sagittal symbols, this Evo Sagittal notation is also a conventional notation.
Because it includes no Sagittal symbols, this Evo Sagittal notation is also a conventional notation.
====Revo flavor====


==== Revo flavor ====
<imagemap>
<imagemap>
File:26-EDO_Revo_Sagittal.svg
File:26-EDO_Revo_Sagittal.svg
Line 425: Line 422:
</imagemap>
</imagemap>


===MisterShafXen’s notation===
=== MisterShafXen’s notation ===
See [[MisterShafXen’s 26edo notation]].
See [[MisterShafXen’s 26edo notation]].


Line 440: Line 437:


{| class="wikitable center-all"
{| class="wikitable center-all"
|+ Direct approximation
|+ style="font-size: 105%;" | Direct approximation
|-
|-
! Interval
! Interval
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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{| class="wikitable center-4 center-5 center-6"
|-
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Subgroup]]
! rowspan="2" | [[Comma basis]]
! rowspan="2" | [[Comma basis]]
Line 609: Line 607:
|-
|-
! [[Harmonic limit|Prime<br>limit]]
! [[Harmonic limit|Prime<br>limit]]
! [[Ratio]]<ref>Ratios longer than 10 digits are presented by placeholders with informative hints</ref>
! [[Ratio]]<ref group="note">{{rd}}</ref>
! [[Monzo]]
! [[Monzo]]
! [[Cents]]
! [[Cents]]
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| Animist comma
| Animist comma
|}
|}
<references/>


== Zeta properties ==
== Zeta properties ==
=== Zeta peak index===
=== Zeta peak index ===
{| class="wikitable"
{| class="wikitable"
! colspan="3" |Tuning
! colspan="3" |Strength
! colspan="2" |Closest EDO
! colspan="2" |Integer limit
|-
|-
!ZPI
! colspan="3" | Tuning
!Steps per octave
! colspan="3" | Strength
!Step size (cents)
! colspan="2" | Closest EDO
!Height
! colspan="2" | Integer limit
!Integral
|-
!Gap
! ZPI
!EDO
! Steps per octave
!Octave (cents)
! Step size (cents)
!Consistent
! Height
!Distinct
! Integral
! Gap
! EDO
! Octave (cents)
! Consistent
! Distinct
|-
|-
|[[100zpi]]
| [[100zpi]]
|25.9356996537225
| 25.9356996537225
|46.2682717652372
| 46.2682717652372
| 5.545073
| 5.545073
|1.031155
| 1.031155
|14.793013
| 14.793013
|26edo
| 26edo
|1202.97506589617
| 1202.97506589617
|14
| 14
|9
| 9
|}
|}
== Scales ==
== Scales ==
=== Orgone temperament ===
=== Orgone temperament ===
Line 910: Line 909:
== See also ==
== See also ==
* [[Lumatone mapping for 26edo]]
* [[Lumatone mapping for 26edo]]
== Notes ==
<references group="note" />


[[Category:Listen]]
[[Category:Listen]]
Retrieved from "https://en.xen.wiki/w/26edo"