Magnetic tape, magnetic tape cartridge, and magnetic tape apparatus

A magnetic tape comprising:

• a non-magnetic support;
• and
• a magnetic layer containing a ferromagnetic powder,
• wherein the magnetic layer has a plurality of servo bands,
• in a probability distribution PDΔSB of a difference ΔSB of servo band intervals calculated from TDSage, TDSenv, and TC, a probability Pfail in which an absolute value of ΔSB exceeds 0.3 μm is equal to or less than 0.2%,
• TDSage is a maximum absolute value of a difference between a servo band interval obtained before storage for 24 hours in an environment with a temperature of 60° C. and a relative humidity of 20% and a servo band interval obtained after the storage,
• where a unit of TDSage is μm,
• TDSenv is a value calculated by multiplying a difference between a maximum value and a minimum value by ½ in servo band intervals obtained respectively in the following five environments;
• a temperature of 16° C. and a relative humidity of 20%,
• a temperature of 16° C. and a relative humidity of 80%,
• a temperature of 26° C. and a relative humidity of 80%,
• a temperature of 32° C. and a relative humidity of 20%, and
• a temperature of 32° C. and a relative humidity of 55%,
• where a unit of TDSenv is μm,
• TC is a value calculated by multiplying TDStens by 0.5 N, and
• TDStens is a ratio of a change in a servo band interval to a change in tension, which is calculated from servo band intervals obtained by applying a plurality of different tensions in a longitudinal direction of the magnetic tape and obtained respectively in the following five environments;
• a temperature 16° C. and a relative humidity 20%,
• a temperature 16° C. and a relative humidity 80%,
• a temperature 26° C. and a relative humidity 80%,
• a temperature 32° C. and a relative humidity 20%, and
• a temperature 32° C. and a relative humidity 55%
• where a unit of TDStens is μm/N.