The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 2195: "Zalitonic"

Scale 2195: Zalitonic, 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
Zalitonic

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,1,4,7,11}
Forte Number5-Z38
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 2339
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections3
Modes4
Prime?no
prime: 295
Deep Scaleno
Interval Vector212221
Interval Spectrump2m2n2sd2t
Distribution Spectra<1> = {1,3,4}
<2> = {2,4,5,6,7}
<3> = {5,6,7,8,10}
<4> = {8,9,11}
Spectra Variation3.2
Maximally Evenno
Maximal Area Setno
Interior Area1.933
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsC{0,4,7}210.67
Minor Triadsem{4,7,11}121
Diminished Triadsc♯°{1,4,7}121
Parsimonious Voice Leading Between Common Triads of Scale 2195. Created by Ian Ring ©2019 C C c#° c#° C->c#° em em C->em

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter2
Radius1
Self-Centeredno
Central VerticesC
Peripheral Verticesc♯°, em

Modes

Modes are the rotational transformation of this scale. Scale 2195 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 3145
Scale 3145: Stolitonic, Ian Ring Music TheoryStolitonic
3rd mode:
Scale 905
Scale 905: Bylitonic, Ian Ring Music TheoryBylitonic
4th mode:
Scale 625
Scale 625: Ionyptitonic, Ian Ring Music TheoryIonyptitonic
5th mode:
Scale 295
Scale 295: Gyritonic, Ian Ring Music TheoryGyritonicThis is the prime mode

Prime

The prime form of this scale is Scale 295

Scale 295Scale 295: Gyritonic, Ian Ring Music TheoryGyritonic

Complement

The pentatonic modal family [2195, 3145, 905, 625, 295] (Forte: 5-Z38) is the complement of the heptatonic modal family [439, 1763, 1819, 2267, 2929, 2957, 3181] (Forte: 7-Z38)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2195 is 2339

Scale 2339Scale 2339: Raga Kshanika, Ian Ring Music TheoryRaga Kshanika

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 2195 is chiral, and its enantiomorph is scale 2339

Scale 2339Scale 2339: Raga Kshanika, Ian Ring Music TheoryRaga Kshanika

Transformations:

T0 2195  T0I 2339
T1 295  T1I 583
T2 590  T2I 1166
T3 1180  T3I 2332
T4 2360  T4I 569
T5 625  T5I 1138
T6 1250  T6I 2276
T7 2500  T7I 457
T8 905  T8I 914
T9 1810  T9I 1828
T10 3620  T10I 3656
T11 3145  T11I 3217

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 2193Scale 2193: Thaptic, Ian Ring Music TheoryThaptic
Scale 2197Scale 2197: Raga Hamsadhvani, Ian Ring Music TheoryRaga Hamsadhvani
Scale 2199Scale 2199: Dyptimic, Ian Ring Music TheoryDyptimic
Scale 2203Scale 2203: Dorimic, Ian Ring Music TheoryDorimic
Scale 2179Scale 2179, Ian Ring Music Theory
Scale 2187Scale 2187: Ionothitonic, Ian Ring Music TheoryIonothitonic
Scale 2211Scale 2211: Raga Gauri, Ian Ring Music TheoryRaga Gauri
Scale 2227Scale 2227: Raga Gaula, Ian Ring Music TheoryRaga Gaula
Scale 2259Scale 2259: Raga Mandari, Ian Ring Music TheoryRaga Mandari
Scale 2067Scale 2067, Ian Ring Music Theory
Scale 2131Scale 2131, Ian Ring Music Theory
Scale 2323Scale 2323: Doptitonic, Ian Ring Music TheoryDoptitonic
Scale 2451Scale 2451: Raga Bauli, Ian Ring Music TheoryRaga Bauli
Scale 2707Scale 2707: Banimic, Ian Ring Music TheoryBanimic
Scale 3219Scale 3219: Ionaphimic, Ian Ring Music TheoryIonaphimic
Scale 147Scale 147, Ian Ring Music Theory
Scale 1171Scale 1171: Raga Manaranjani I, Ian Ring Music TheoryRaga Manaranjani I

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, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography. Special thanks to Richard Repp for helping with technical accuracy.