# 1ed65c

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← 239ed8192 | 240ed8192 | 241ed8192 → |

^{4}× 3 × 5**1 equal division of 65¢** (**1ed65c**), also known as **arithmetic pitch sequence of 65¢** (**APS65¢**), is an equal nonoctave scale generated by making a continuous chain of intervals of exactly 65¢. It is a good tuning in the 2.3.5.7.11.13.27 subgroup, and is closely related to 37edo and 37ED4. 37 degrees of 1ed65c is exactly 2405¢, which is the 4/1 double octave plus 5¢. Thus, 1ed65c can be seen as a stretched version of 37ed4.

A characteristic pentad of 1ed65c is 8:10:13:14:22 and it's utonal inversion.

Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | |
---|---|---|---|---|---|---|---|---|---|---|---|

Error | Absolute (¢) | -30.0 | -17.0 | +5.0 | +8.7 | +18.0 | +11.2 | -25.0 | +31.1 | -21.3 | +8.7 |

Relative (%) | -46 | -26 | +8 | +13 | +28 | +17 | -38 | +48 | -33 | +13 | |

Steps | 18 | 29 | 37 | 43 | 48 | 52 | 55 | 59 | 61 | 64 |

## Intervals

Degree of 1ed65c | Cents Value |
---|---|

0 | 0 |

1 | 65 |

2 | 130 |

3 | 195 |

4 | 260 |

5 | 325 |

6 | 390 |

7 | 455 |

8 | 520 |

9 | 585 |

10 | 650 |

11 | 715 |

12 | 780 |

13 | 845 |

14 | 910 |

15 | 975 |

16 | 1040 |

17 | 1105 |

18 | 1170 |

19 | 1235 |

20 | 1300 |

21 | 1365 |

22 | 1430 |

23 | 1495 |

24 | 1560 |

25 | 1625 |

26 | 1690 |

27 | 1755 |

28 | 1820 |

29 | 1885 |

30 | 1950 |

31 | 2015 |

32 | 2080 |

33 | 2145 |

34 | 2210 |

35 | 2275 |

36 | 2340 |

37 | 2405 |

# Music

Slumber of Thought by Chris Vaisvil

Malathion in 65cET by Chris Vaisvil (65cET is an outdated name for this tuning system, standing for "65-cent equal temperament")