A low speed spool multispeed transmission, comprising: an input shaft configured to connect to a low pressure spool gearbox; a gear system connected to the input shaft and configured to convert an input speed of the input shaft to an output speed within a predetermined speed range, wherein the gear system includes a plurality of gear states to change a ratio between the input speed and the output speed; an output shaft connected to the gear system to be rotated by the gear system at the output speed, the output shaft configured to connect to a generator; wherein the output shaft extends in a same axial direction from the transmission as the input shaft, and wherein the input shaft and the output shaft are coaxial; wherein the plurality of gear states include a 1st gear, a 2nd gear, and a 3rd gear; wherein the gear system includes a first planetary gear including a first carrier operatively connected to a plurality of first planet gears, a first ring gear meshed with the first planet gears, and a first sun gear meshed with the first planet gears; wherein the first sun gear is connected to the output shaft such that the output shaft rotates at the same speed as the first sun gear; wherein the gear system includes a second planetary gear including a second carrier operatively connected to a plurality of second planet gears, a second ring gear meshed with the second planet gears, and a second sun gear meshed with the second planet gears; and characterized in that the second carrier is connected to the first ring gear to rotate at the same speed as the first ring gear; wherein the second ring gear is connected to the first carrier to rotate at the same speed as the first carrier, and wherein the gear system includes a first band brake configured to brake the first ring gear, and wherein the gear system includes a second band brake configured to brake the second sun gear, and wherein the gear system includes an overrunning clutch configured to connect the first carrier to the first ring gear to cause the first ring gear and the first sun gear to rotate at the same speed as the first carrier. an input shaft configured to connect to a low pressure spool gearbox; a gear system connected to the input shaft and configured to convert an input speed of the input shaft to an output speed within a predetermined speed range, wherein the gear system includes a plurality of gear states to change a ratio between the input speed and the output speed; an output shaft connected to the gear system to be rotated by the gear system at the output speed, the output shaft configured to connect to a generator; wherein the output shaft extends in a same axial direction from the transmission as the input shaft, and wherein the input shaft and the output shaft are coaxial; wherein the plurality of gear states include a 1st gear, a 2nd gear, and a 3rd gear; wherein the gear system includes a first planetary gear including a first carrier operatively connected to a plurality of first planet gears, a first ring gear meshed with the first planet gears, and a first sun gear meshed with the first planet gears; wherein the first sun gear is connected to the output shaft such that the output shaft rotates at the same speed as the first sun gear; wherein the gear system includes a second planetary gear including a second carrier operatively connected to a plurality of second planet gears, a second ring gear meshed with the second planet gears, and a second sun gear meshed with the second planet gears; and characterized in that the second carrier is connected to the first ring gear to rotate at the same speed as the first ring gear; wherein the second ring gear is connected to the first carrier to rotate at the same speed as the first carrier, and wherein the gear system includes a first band brake configured to brake the first ring gear, and wherein the gear system includes a second band brake configured to brake the second sun gear, and wherein the gear system includes an overrunning clutch configured to connect the first carrier to the first ring gear to cause the first ring gear and the first sun gear to rotate at the same speed as the first carrier.