The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 3195: "Raryllic"

Scale 3195: Raryllic, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

41161837294116105072918310504116183
Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Zeitler
Raryllic

Analysis

Cardinality8 (octatonic)
Pitch Class Set{0,1,3,4,5,6,10,11}
Forte Number8-6
Rotational Symmetrynone
Reflection Axes2
Palindromicno
Chiralityno
Hemitonia6 (multihemitonic)
Cohemitonia4 (multicohemitonic)
Imperfections2
Modes7
Prime?no
prime: 495
Deep Scaleno
Interval Vector654463
Interval Spectrump6m4n4s5d6t3
Distribution Spectra<1> = {1,2,4}
<2> = {2,3,5}
<3> = {3,4,6}
<4> = {5,7}
<5> = {6,8,9}
<6> = {7,9,10}
<7> = {8,10,11}
Spectra Variation2.5
Maximally Evenno
Maximal Area Setno
Interior Area2.366
Myhill Propertyno
Balancedno
Ridge Tones[4]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 3195 can be rotated to make 7 other scales. The 1st mode is itself.

2nd mode:
Scale 3645
Scale 3645: Zycryllic, Ian Ring Music TheoryZycryllic
3rd mode:
Scale 1935
Scale 1935: Mycryllic, Ian Ring Music TheoryMycryllic
4th mode:
Scale 3015
Scale 3015: Laptyllic, Ian Ring Music TheoryLaptyllic
5th mode:
Scale 3555
Scale 3555: Pylyllic, Ian Ring Music TheoryPylyllic
6th mode:
Scale 3825
Scale 3825: Pynyllic, Ian Ring Music TheoryPynyllic
7th mode:
Scale 495
Scale 495: Bocryllic, Ian Ring Music TheoryBocryllicThis is the prime mode
8th mode:
Scale 2295
Scale 2295: Kogyllic, Ian Ring Music TheoryKogyllic

Prime

The prime form of this scale is Scale 495

Scale 495Scale 495: Bocryllic, Ian Ring Music TheoryBocryllic

Complement

The octatonic modal family [3195, 3645, 1935, 3015, 3555, 3825, 495, 2295] (Forte: 8-6) is the complement of the tetratonic modal family [135, 225, 2115, 3105] (Forte: 4-6)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 3195 is 3015

Scale 3015Scale 3015: Laptyllic, Ian Ring Music TheoryLaptyllic

Transformations:

T0 3195  T0I 3015
T1 2295  T1I 1935
T2 495  T2I 3870
T3 990  T3I 3645
T4 1980  T4I 3195
T5 3960  T5I 2295
T6 3825  T6I 495
T7 3555  T7I 990
T8 3015  T8I 1980
T9 1935  T9I 3960
T10 3870  T10I 3825
T11 3645  T11I 3555

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 3193Scale 3193: Zathian, Ian Ring Music TheoryZathian
Scale 3197Scale 3197: Gylyllic, Ian Ring Music TheoryGylyllic
Scale 3199Scale 3199: Thaptygic, Ian Ring Music TheoryThaptygic
Scale 3187Scale 3187: Koptian, Ian Ring Music TheoryKoptian
Scale 3191Scale 3191: Bynyllic, Ian Ring Music TheoryBynyllic
Scale 3179Scale 3179: Daptian, Ian Ring Music TheoryDaptian
Scale 3163Scale 3163: Rogian, Ian Ring Music TheoryRogian
Scale 3131Scale 3131, Ian Ring Music Theory
Scale 3259Scale 3259, Ian Ring Music Theory
Scale 3323Scale 3323: Lacrygic, Ian Ring Music TheoryLacrygic
Scale 3451Scale 3451: Garygic, Ian Ring Music TheoryGarygic
Scale 3707Scale 3707: Rynygic, Ian Ring Music TheoryRynygic
Scale 2171Scale 2171, Ian Ring Music Theory
Scale 2683Scale 2683: Thodyllic, Ian Ring Music TheoryThodyllic
Scale 1147Scale 1147: Epynian, Ian Ring Music TheoryEpynian

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.