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Scale 2635: "Gocrimic"

Scale 2635: Gocrimic, 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
Gocrimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,1,3,6,9,11}
Forte Number6-Z45
Rotational Symmetrynone
Reflection Axes0
Palindromicyes
Chiralityno
Hemitonia2 (dihemitonic)
Cohemitonia1 (uncohemitonic)
Imperfections4
Modes5
Prime?no
prime: 605
Deep Scaleno
Interval Vector234222
Interval Spectrump2m2n4s3d2t2
Distribution Spectra<1> = {1,2,3}
<2> = {2,3,5,6}
<3> = {4,6,8}
<4> = {6,7,9,10}
<5> = {9,10,11}
Spectra Variation2.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tones[0]
ProprietyImproper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 2635 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 3365
Scale 3365: Katolimic, Ian Ring Music TheoryKatolimic
3rd mode:
Scale 1865
Scale 1865: Thagimic, Ian Ring Music TheoryThagimic
4th mode:
Scale 745
Scale 745: Kolimic, Ian Ring Music TheoryKolimic
5th mode:
Scale 605
Scale 605: Dycrimic, Ian Ring Music TheoryDycrimicThis is the prime mode
6th mode:
Scale 1175
Scale 1175: Epycrimic, Ian Ring Music TheoryEpycrimic

Prime

The prime form of this scale is Scale 605

Scale 605Scale 605: Dycrimic, Ian Ring Music TheoryDycrimic

Complement

The hexatonic modal family [2635, 3365, 1865, 745, 605, 1175] (Forte: 6-Z45) is the complement of the hexatonic modal family [365, 1115, 1675, 1745, 2605, 2885] (Forte: 6-Z23)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 2635 is itself, because it is a palindromic scale!

Scale 2635Scale 2635: Gocrimic, Ian Ring Music TheoryGocrimic

Transformations:

T0 2635  T0I 2635
T1 1175  T1I 1175
T2 2350  T2I 2350
T3 605  T3I 605
T4 1210  T4I 1210
T5 2420  T5I 2420
T6 745  T6I 745
T7 1490  T7I 1490
T8 2980  T8I 2980
T9 1865  T9I 1865
T10 3730  T10I 3730
T11 3365  T11I 3365

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 2633Scale 2633: Mixitonic, Ian Ring Music TheoryMixitonic
Scale 2637Scale 2637: Raga Ranjani, Ian Ring Music TheoryRaga Ranjani
Scale 2639Scale 2639: Dothian, Ian Ring Music TheoryDothian
Scale 2627Scale 2627, Ian Ring Music Theory
Scale 2631Scale 2631: Macrimic, Ian Ring Music TheoryMacrimic
Scale 2643Scale 2643: Raga Hamsanandi, Ian Ring Music TheoryRaga Hamsanandi
Scale 2651Scale 2651: Panian, Ian Ring Music TheoryPanian
Scale 2667Scale 2667: Byrian, Ian Ring Music TheoryByrian
Scale 2571Scale 2571, Ian Ring Music Theory
Scale 2603Scale 2603: Gadimic, Ian Ring Music TheoryGadimic
Scale 2699Scale 2699: Sythimic, Ian Ring Music TheorySythimic
Scale 2763Scale 2763: Mela Suvarnangi, Ian Ring Music TheoryMela Suvarnangi
Scale 2891Scale 2891: Phrogian, Ian Ring Music TheoryPhrogian
Scale 2123Scale 2123, Ian Ring Music Theory
Scale 2379Scale 2379: Raga Gurjari Todi, Ian Ring Music TheoryRaga Gurjari Todi
Scale 3147Scale 3147: Ryrimic, Ian Ring Music TheoryRyrimic
Scale 3659Scale 3659: Polian, Ian Ring Music TheoryPolian
Scale 587Scale 587: Pathitonic, Ian Ring Music TheoryPathitonic
Scale 1611Scale 1611: Dacrimic, Ian Ring Music TheoryDacrimic

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.