D&D 5E (2014) Spell point cost values—what's the rationale?

[definiteFreakyFishGuy]

I was looking at the Variant Spell Points section in the DMG (pg. 288). I believe I understand how it's suppose to work, but I don't really understand why the cost values are chosen this way.

Here are the spell levels and their corresponding costs according to the DMG. (Included Cantrips as level 0 for completeness.)

Spell level: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Point Cost: 0, 2, 3, 5, 6, 7, 9, 10, 11, 13

Questions I have

1. Why are the numbers like this? Why is the gap between the costs changing like this? (2, 1, 2, 1, 1, 2, 1, 1, 2)
2. Are there variant cost values that are... a bit more intuitive?

 

[Composer99]

The logic of spell point progression is the base cost of 2 for a 1st-level spell, then a 1-point increase per spell level, except at spell levels that correspond with tier breakpoints - character levels 5, 11, and 17 for 3rd, 6th, and 9th-level spells - which have a 2-point increase.

The spell points up to 5th level spells are the same as the sorcery point costs for sorcerers to create spell slots of a given level.

 

[Parmandur]

I was looking at the Variant Spell Points section in the DMG (pg. 288). I believe I understand how it's suppose to work, but I don't really understand why the cost values are chosen this way.

Here are the spell levels and their corresponding costs according to the DMG. (Included Cantrips as level 0 for completeness.)

Spell level: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Point Cost: 0, 2, 3, 5, 6, 7, 9, 10, 11, 13

Questions I have

1. Why are the numbers like this? Why is the gap between the costs changing like this? (2, 1, 2, 1, 1, 2, 1, 1, 2)
2. Are there variant cost values that are... a bit more intuitive?

It's based on hit dice values, and the same progression dictates Ki/Focus Points for the Monk, who is essentially a Spell-Point Short Rest Half-caster.