# Mersenne comma

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A **Mersenne comma** is a comma of the form [math]\frac{2^n}{2^n-1}[/math].

Since Mersenne prime commas are of the form 2 / M, they are of no interest to EDO theory at all, as they are merely equate a specific prime harmonic with the octave. Therefore, this time Mersenne composite numbers enter the stage - sequence A135972 in OEIS.

## List of Mersenne commas

Index | Comma | Subgroup | S. Monzo | Comments |
---|---|---|---|---|

4 | 16/15 | 2.3.5 | [4 -1 -1⟩ | Classic diatonic semitone |

6 | 64/63 | 2.3.7 | [6 -2 -1⟩ | Septimal comma |

8 | 256/255 | 2.3.5.17 | [8 -1 -1 -1⟩ | Septendecimal kleisma |

9 | 512/511 | 2.7.73 | [9 -1 -1⟩ | |

10 | 1024/1023 | 2.3.11.31 | [10 -1 -1 -1⟩ | |

11 | 2048/2047 | 2.23.89 | [11 -1 -1⟩ | |

12 | 4096/4095 | 2.3.5.7.13 | [12 -2 -1 -1 -1⟩ | Schismina |